› = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

Q: mpute the following integrals using suitable method. [xy dxdy, where R is theregion bounded by y=1,…

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Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: rting to polar coordinates. dy

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Q: Determine the open intervals on which the graph of the function f(x)= x²+64 is concave upward or…

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Q: Consider the following information. lim f (x) IIC lim g(x) IC (a) (b) (c) 6 Use the information to…

A: To evaluate the given limits of function

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: Find the four second-order partial derivatives. 5 f(x,y) = 2x y-5xy +9y fxx(x,y) = fxy(x,y) = fyx…

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: To find the rate at which the area is changing

Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: 7. The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

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Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: 14. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

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Q: 44 If 2x=y¹/5 +y=1/5, then express y as an explicit d²y dy = 25 y. dx dx² function of x and prove…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find the indicated element of the given matrix. 1 13 206 -3 8 106 0 19 b23 = B

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Q: b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: (b) Given the graph of f (x) below (blue), select the correct graph of the transformation y = 2f (x)…

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: 2) Consider the function: f(t) = 0, e-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: Use the arc length formula to find the length of the curve  y = 7 − 4x,   −1 ≤ x ≤ 2.  Check your…

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Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: Find the equation of the line through the y-intercept of y = x²¹ - 9x5 −7+ 9x² and the x-intercept…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

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Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

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Q: 27) Suppose y = f(x) and y = g(x) are continuous functions which intersect at x = 1, x = 4 and x = 7…

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Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

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Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: 6) as an ice black metts, the note at which its moss M, decreases is directly proportional to the…

A: according to bartleby guide line we do only first part of multipleplease re post other parts 6)…

Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

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Q: Part b pls

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Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

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Q: 2 Find the area between the graph of y = 5 – 5x³ and x-axis and − 1 ≤ x ≤ 8 using properties of…

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Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: Evaluate sin 5x cos 4x dx

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Write a polynomial with a leading coefficient of 1, degree 3, that has zeros at and x = − 5. Write…

A: Given query is to find the polynomial.

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

Q: 4) Evaluate 2 √x√x² +1 dx

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Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

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Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

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