Find the amplitude and period of the function. y = 3 + 1/2 cos(?x) amplitude=           period= Sketch the graph of the function.

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

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Q: 1 If z = 5xe2xy and x =/t,y=. Then, dz at t = 5 is equal to dt the value of 2/5 V5 Select one: True…

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A: Given query is to find series converges or diverges.

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A: topic - integration by parts

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A: topic - partial differentiation

Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

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A: We need to find increasing and decreasing interval and interpret the result.

Q: Analyze and integrate the following:

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Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

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Q: What is a total weight of 7 basketball that weight 22 ounces each

A: Given each basketball weight is 22 ounces

Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: Write the first six terms of the sequence given by a1 = 2; an+1= n+3 n+2 an: and then give…

A: We have to find the nth term

Q: A. Evaluate the following integrals: Sx² e**dx 1.

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Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

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Q: Find x in the following logarithmic functions: a) log10 x = 2; b) log10 x = -3 ; c) log10 x = HIN

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Q: 1. Find the area under the curve of y on the interval [1, 4).

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Q: Find of and Duf to :- f cas,z) = In (x²+zy?+32) atp(-v34) in the direction of ã=-3i-4j-12K. -314…

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Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: Given the function g(x) 6x – 27x2 – 72x, find the first derivative, g'(x). = (x),6 Notice that g'(x)…

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Q: Given the function of two variables f(x,v) = In(/x7+y7). The partial derivative with respect to x is…

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Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: (g) log r+ log (13 – 3r) = 1 - (h) In (In (In r)) = 1 %3D

A: Solved below

Q: Given the initial-value problem y'+3x 2y, y(1) = 0.2, %3D use the Euler's method to obtain an…

A: Euler method states that yn+1=yn+hfxn,yn  where xn+1=xn+hOption (b) is correct.see below the…

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: Question 3 The population P = P(t) community is known to increase at a rate proportional to the…

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Q: Determine whether the sequence defined by 1/x converges or diverges. If it converges, find its…

A: The given sequence,   an=1+8n1n

Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

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Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

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Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

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Q: x = 7- 2t Which of the following lines is parallel to L: L : y = + t z = 4 + t x = 2+4t L{y= - 1+ 2t…

A: Here we will find the parallel line,

Q: Consider the following function. (If an answer does not exist, enter DNE.) -6 f(x) = 1+ x2 (a) Find…

A: The given function,   f(x)=-61+x2

Q: Analyze the graph of f'(x) (first derivative) Find all extrema. Determine which are maximums and…

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Q: to double? Us Find the inverse of f(x) = log, (3a + 1) +2 The

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Q: [1+cot 2(In x2)]* dx

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Q: 6. (a) (2/3, 2, 1) (b) (4, 3, 2)

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Q: (a) Find x '(t) and y' (t). x'(t)= 16t y'(t)= 3t^2-9 (b) Use x' (t) and y'(1) to determine when x(t)…

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Q: |cos'xsinxdx 2.

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Q: Finding the Volume of a Solid In Exercises 29 and 30, use the disk method or the shell method to…

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Q: Let f''(x) = 2x + 4 and suppose f'( – 1) = 6 and f(– 1) = 3. Find f'(x) = and find f(3) =

A: Given,            f"(x) = 2x + 4,           f'(-1) = 6,           f(-1) = 3