If sin x = -3/5, in quadrant III, then sin 2x = cos 2x = tan 2x

Q: Find r'(t), r"(t), r'(t)r"(t), and r'(t) x r"(t). r(t) = 2t²1 – 3tj+t³k (a) r'(t) (b) r"(t) (c)…

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Q: Test the series below for convergence using the Ratio Test. n4 0.82 n=1 The limit of the ratio test…

A: The power series is given byRatio test:

Q: 3x Consider the function f(x) = x²e-³ª, defined for all real numbers x. (a) Find the two critical…

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Q: -3 -2 3 2 1 -1 -2 -3 1 2 3 Use the graph of f(x) above to estimate the value of fƒ'(0) to one…

A: Given:A graph of function f(x) is given.To find:f'(0).What is f'(0)?f'(0) represents the slope of…

Q: Find the absolute extrema of the function h(x)= (x, y). Absolute minimum point: Absolute maximum…

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Q: Find the surface area of revolution about the x-axis of y = 7 sin(2x) interval 0≤x≤ ka 2 over the

A: To find the surface area of revolution about the -axis of over the interval

Q: Practice 5: Identify the following as power functions, exponential functions, or constants. f(x)=x²,…

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Q: Solve (40x23) 2 3 4 - 13 7/2 - = 19 936 19 78 19 12 32/2

A: Consider the equation

Q: To find the arclength of y = 2x² + 2 from x = 0 to x = 5, which is the correct integral? 5 ²-√³ OL=…

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Q: If ƒ(x) = 3x² – 3eª, find:

A: f(x)=3x2−3ex

Q: Evaluate the iterated integral 1 1 -3 0 18x5y²dy dx.

A: I=∫−31∫0118x5y2dydx

Q: Let f (x, y) =r³ - 3x + 3xy². Find the critical points of f(x, y) and determine whether they are…

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Q: Consider the function f(x) 2x²10x + 11, 0 ≤ x ≤ 7. The absolute maximum of f(x) (on the given…

A: Given that the function, we have to find the absolute maximum and absolute minimum value

Q: Find the arclength of y = 2x² - 1 on 0 ≤x≤3

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Q: Find f(x) if y = f(x) satisfies dy dx e¯½ f sin x and ƒ (7) = ²/

A: Given the experience  and y=f(x) we have to find the solution f(x) by the condition

Q: A manufacture has been selling 1550 television sets a week at $390 each. A market survey indicates…

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Q: Find a) any critical values and b) any relative extrema. g(x) = -x³ + 12x-18 a) Select the correct…

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Q: Find the derivative of the function. Simplify where possible. y =cos'' (e²)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Practice 1: Use the limit lim 8-0 sin =1 lim tan 41 1-0 sin 31 and trig identities to evaluate the…

A: Limt-0 tan(4t)/sin(3t)

Q: Use a calculator and evaluate A to the nearest cent. A = $5,000e1t for t= 3, 7, and 10 Ift=3, A $…

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Q: Find sin theta and cos theta, if tan theta = -3 and theta terminates in Q3.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: find the derivative a. f(x) = (x-1)^3 / x(x+3)^4 b. [(x^2-1)^5-x]^3

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Q: x²-2x-5 (x²)(x-1)

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Q: Differentiate +6) In (3x5 + 11x³ +

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Q: 7. Graph the piecewise function. f(x) = = 2x -2 (x²²=2 ) if -3 ≤ x < -1 ; if = 1 ≤ x Zo if x=0

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Q: Find the arclength of y = 3x 3x-2 on 0≤x≤3

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Q: f(x) = 9(x − 4)²/³. 2/3 -

A: f(x)=9(x−4)2/3Using the power Ruleddxxn=nxn−1

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 65 bushels of fruit. She…

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Q: Use the root test to determine if the following series converges or diverges. 80 Σ n=1 5 (4 +…

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Q: Write a triple integral, including limits of integration, that gives the volume between 3x +2y + z =…

A: The given equation are 3x + 2y + z = 35x + 3y + z = 3x + y  1, x  0, y 0

Q: Evaluate the following integral /6 sec¹ zdz

A: The given integral is 6sec4x.

Q: 4. x4 (²x²-x²³-1-1 + 0 dx

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Q: sider the ction or a pen to enclose an rea. You have 400 ft of fencing to make a pen for hogs. If…

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

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Q: 80 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: Question 3x and it is known that dy If 4xy -1-y² -4y+3 , find all coordinate points on the curve…

A: The  of a curve represents the slope of the tangent line to the curve at the given point.The slope…

Q: 00 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: 4 Graph the piecewise function. (x+2/ x -2 ј χ piece of V-Shape point (-2,3) < piece of parabola

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Q: -f(x)=-4x²+72-1 by

A: f(x)=−4x2+7x−1

Q: Use the first derivative test to locate the relative extrema of the function in the given domain,…

A: The given function is

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Given the equation below, find dy dx -33x³ +855y + y³ y = = dy dx - 24 Now, find the equation of the…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: A ball of radius 15 has a round hole of radius 8 drilled through its center. Find the volume of the…

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Q: 2. d'y ² +6d dy +9y=0. dx² dx

A: To find the solution of the following differential equation.

Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: Find the derivative of the function. y = sin() + sin (9 x) y'(x) = ||

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Q: Find the area of the region bounded by the graphs of the equations. 16x x² +1² Round answer to THREE…

A: we need to find out the area bounded by the given curves.

Q: f(x) = -8x + 1 x-1

A: f(x)=−8x+1x−1

Q: Find f'(x). X f(x)=x-44 f'(x) = (Type an exact answer.)

A: Given,