1. [xds, where C is the curve y=x², z = 0 from (0, 0, 0) tom (1, 1,0)

Q: We have 36 ft2 of material to build a box of maximum volume with a square base and no top. What is…

A: Let side of base square = x ftLet height of box = h ftThe figure of box

Q: A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the…

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Q: Combine the integrals into one integral, then evaluate the integral. 5 la-sa-fa-sa (7x-2) dx +6J (x…

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Q: 8. Rewrite CLI x+2 dydadz in the order dzdxdy.

A: We need to change the order of integral.

Q: Let f(x) = x³, and compute the Riemann sum of f over the interval [2, 3], choosing the…

A: The given function is The midpoint rule

Q: If f(x) -6₁² = 2 f'(x) =| t³ dt then

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Q: Let F(x, y) = x³ + y³ − 3x − 12y + 20. Find the critical points of H and classify the kind of local…

A: The given function is .

Q: Using n=2 equal-width subintervals, approximate the area of the region bounded by the graph of, f(x)…

A: By using left endpoint and using  equal-width subintervals, to approximate the area of the region…

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line. 3…

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Q: Of the following, which are solutions to the differential equation y" - 5y +6y=0 ? 1.y = e²t II. y =…

A: The differential equation is given byThe auxiliary equation corresponds to the differential equation…

Q: Use either a graphing calculator or a spreadsheet to complete the table. Express all your answers as…

A: The given function is

Q: Determine the x values where the following function is discontinuous Select all correct answers.…

A: The given function,The aim is to find the discontinuous points of the function .

Q: Use symmetry and the fundamental theorem of calculus to evaluate the following integrals. Question 8…

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Q: Express your answer as a polynomial in standard form. f(x) = 2x² - 4x - 6 g(x) = 2x + 7 Find:…

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Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

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Q: Write the given expression in an expanded form. Assume that variables represent positive numbers.…

A: Let

Q: Find functions f and g so that fog=H. 9 H(x) = (9x + 6) Choose the correct pair of functions. ..

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Q: Let f(x) = x³, and compute the Riemann sum of f over the interval [6, 7], choosing the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Suppose your newspaper is trying to decide between two competing desktop publishing software…

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Q: 5. Use a triple integral to find the volume of the solid in the first octant bounded by the plane 2x…

A: Solid in the first octant bounded by the plane 2x+3y+6z=12 and the coordinate…

Q: 3. Is there a relation between the domain of a function and its interval of convergence?

A: From the given statement

Q: Find the Taylor series for f(x) = ln(x) about a=2. Find the interval of convergence.

A: Taylor series of ln⁡(x) around a=2A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: Question The graph of f(x) is shown below. Find the graph of f'(x). VA -6-5-4-3-2-1, 1 2 3 4 5 6 MN

A: A graph of the function  is given.The aim is to sketch the graph of the derivative function .

Q: Consider the following function. g(x) = (x - 2)²-9 Step 3 of 4: Find two points on the graph of the…

A: Consider the function

Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine k'(-2). f(x) g(x) h(x) f'(x)…

A: xf(x)g(x)h(x)f′(x)g′(x)h′(x)−2−4−1046−7062−11−3820−5−8237

Q: Consider the graph of the function f below. What is the sign of the slope m of the tangent line at x…

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Q: Find the mass of a wire that lies along the curve r(t) = (t² −8) j+2tk, 0≤t≤2, if the 3 density is…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2 8 de F(x) F(0) F(7) F(-/-)…

A: The given integral is .The aim is to find the values of .

Q: A retail business owner wants to build two adjacent retail stores on a rectangular plot of land. The…

A: The figure

Q: Write the following expression in expanded form. (x+7)4 (X-5)√√x+4 In

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Q: Question 2 Drug sensitivity. One hour after x milligrams of a par- ticular drug are given to a…

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Q: Find the area under the given curve over the indicated interval. y = 4x; x =1 to x = 3

A: y=4x, x=1 to x=3

Q: Write an equation for the rational function graphed below. The vertial asymptotes are shown as…

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Q: Find a formula for the general term an of the sequence, assuming that the patterm of the first few…

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Q: 5 -5 O 10 X

A: Given that the graph of the circlewe have to find the equation of the circle

Q: Suppose f(x) = 3x -2. Find f (x+²) 3 (x+2) 3 (Simplify your answer.)

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Q: Estimate the area under the graph of f(x) =3x² + 12x + 14 over the interval [0, 3] using five…

A: To estimate the area under the graph of  over the interval  by using five approximating…

Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: area under the curve ƒ(x) = x² + 2x + 6 from æ : Use the Method of Midpoint Rectangles (do NOT use…

A: The given function .The aim is to find the area under the curve using the midpoint rectangles in the…

Q: Please answer the following question on Related Rates-Angle of Elevation, including the…

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Q: A landscape architect would like to design a rectangular flower garden with an area of 128 square…

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Q: What is the derivative of f(x) = −‡x³ a at the point x = 3? Type an exact answer.

A: f(x)=−43x23 at the point x=3Using the power Ruleddxxn=nxn−1

Q: Question For which value(s) of x does f (x) = 16x³ - 4x² + 6x - 13 have a tangent line of slope 5?…

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Q: Find the exact length of the polar curve described by: r = 10e-0 on the interval 9 2 ㅠ T≤ 0 ≤ 9TT.

A: The arc is any part of the Circu mference of the circle. The length of arc can be found by using the…

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: To find the value of y, substitute the value of x and solve for y.To find the value of x, substitute…

Q: √x •SSES f(x, y)dydx. a) Sketch the region D of the integration. b) change the order of integration…

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Q: Graph the following function: y = -2 sin 2x - 37) 2 T 2

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Q: Show that the function g(x, y) = is not continuous at (0,0). xy 2x² + y²¹ 0, (x, y) = (0,0) (x, y) =…

A: g(x,y)=(xy/(2x2+y2), (x, y) not equal to (0,0)               0                 ,(x, y) = (0,0)