(1) For every natural number n, x" = nx"-1 (you may use the product rule for derivatives and that x = 1) da

Q: At what points is the following function continuous? 3 X-216 x#6, x# -6 x- 36 f(x) = 9, x= 6 4, x= -...

A: Explained below 

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: Answer C/DC a. lim f(x) X-2 b. lim f(x) c. lim f(x) -3 -2 -1 -1 X--2 d. lim f(x) x-5 -2 -3 e. lim f(...

A: follow next step

Q: given f (z) = (z + 1)° – 32' what is the value of u (금, )

A: Topic:- complex number

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

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Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: E F Which blue function is the graph of the SLOPES of the red function? F

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Q: The function f(x, y) = 4 corresponds to x² + y² plot [ Select ]

A: Given that: f(x, y)=4x2+y2

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by...

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Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(4x + 3)-1 – 1000 where x is ...

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Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...

A: F(x)=fx6 and G(x)=fx6

Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: Jon's bathtub is rectangular and its base is 12 ft. How fast is the water level rising if Jon is fil...

A: Find your answer below 

Q: Use the figure to find the exact value of the trigonometric function. Find cos 20. 3.

A: We can find the value of cos2 theta as below from the figure

Q: 13 Solve each triangle. Round answers to the nearest tenth. 9) 10) A 12 C 31.9 13 B 14 12) 11) A 39 ...

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Q: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

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Q: x + 5 ½ = 20 Find x.

A: Given              x + 5^(1/2) =20

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: We can answer both the question as below

Q: Suppose that your best friend has calculated the partial derivatives of a given functionf(x,y)and to...

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Q: 1 38. n(n - 1) n=2 IM:

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Q: S sin?y dy

A: Here we will solve given integral,

Q: lim 극 et – 1 x-1

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Q: Given the following table, give the best estimate for f'(9)- f(9) 6. 12 15 f(x) 37 42 48 64 23 8. Th...

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Q: Find the limit. (If an answer does not exist, enter DNE.) 2 - 81 lim t--9 2t2 + 19t + 9

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Q: Consider the function f(x) whose second derivative is f"(x) = 10x + 10 sin(x). If f(0) = 4 and f'(0)...

A: Given that: f''(x)=10x+10sinx

Q: f(x)=81x^2−100/x Find the critical values of the functio

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Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2....

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)...

Q: An electronics company can sell x cellular phones at a price of p(x)=−0.04x+700 dollars per phone. T...

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Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: Mcru bewa IS SA SOTA 2. Solve each of the following using graphing calculator for 0<x< 2n. Round to ...

A: We have to find the solution of the given trigonometric the quations using graphical approach.   Not...

Q: 47-50. Level curves Consider the paraboloid f(x, y) = 16 %3D - - 4 16 and the point P on the given l...

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Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

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Q: Find the formula for the figure below:

A: Given that: Graph of a function.

Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If f"...

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?...

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?  

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: The given integral is: F(θ)=∫cos3(θ)+sin(2θ)-3cos(θ)sin3(θ)+3cos2(θ)+2sin(θ)-3dθ

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is  a type of discontinuity where one sided or both sided limit go towards in...

Q: Find the derivative f'(x) of the following function f(x). f(x) = sinh (x + 8x*)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is...

A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 , ...

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

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Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

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Q: За3 — 4а +2 7а3+5 lim

A: To evaluate:limx→∞ 3x3-4x+27x3+5

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: We have to find limit Value on the basis of Given graph.

Q: Determine the infinite limit. lim In(x2 – 25) x-5+ 00 -00 8

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Q: cos? cos n 48. n2 n=1 IM:

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Q: 8 sin() Σ n2 mstl n=1

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Q: 3. In (cos)

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Q: Based on empirical data, scientists have determined the following function that models the height of...

A: Given that: h(t)=3.2t

Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

A: