12 For the given function y 3 cos ( 0 2 state the following (show al Work) a) Amplitude b) Period c) Phase shift d) Vertical shift

Q: ider the function f(x) = 3 – 72² on the interval [- 6, 7]. Find the average or mean slope of th cion…

A: We wil use the mean value theorem.

Q: Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

A: Here, the given function is: f(t)=∫0tx2+13x+401+cos2xdx

Q: 9) Find the vectors angle between the twe

A:

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

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Q: Match each point in polar coordinates with either A, B, C, or D on the graph. D

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Q: 6x² – 7x +9 Find the lim Justify your answer. What can you concluc 4x3 +6

A: Given query is to find the limit of the expression.

Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

A:

Q: How do you do optimization in calculus? List all steps

A:

Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

A:

Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A:

Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

A: Follow next step

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: Find the sum of the convergent series. 6 Σ 9n2 + 3n – 2 n = 1

A:

Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: im

A:

Q: Find i-l O 36 O 16 38

A:

Q: Determine the area of the gtven reglon. y = x + sin x Step 1 Note that for the given reglon, x…

A:

Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

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Q: Evaluate the definite integral 2x2 + 2

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Q: Find fr(x, y) and fy(x, y) given f(, y) = (csc y) Arcsin(x²). %3D

A:

Q: APPLICATIONS The height of an object that is traveling through the air can be well modeled by a…

A: Explained below

Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

A:

Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

A:

Q: 19. A video store sells DVD movies and video games. Suppose 68 movies are sold at $25 each and 43…

A: Here given that 68 movies and 43 video games and the prices are $25 and $54 respectively.

Q: how the following series is conditionally co -(-1)" Wi

A: Given

Q: g(x) If f(x) then h(x)'

A:

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

A:

Q: Find the interval of convergence of the series. (x - 4)n Σ 8+ 5n n=0 45 19 <x< 8 -1 < x< 9 -1 sxs9…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A: On solving this we will get

Q: Condense the expression to the logarithm of a single quantity. [9 In(x + 4) + In(x) – In(xº – 8)]

A:

Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

A:

Q: 1. Differentiate and simplify. a. .2 y = 3x+3x ||

A:

Q: C. 5 3 B. A

A:

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given, f(x)=x8, 0,8 Recall:  f(c)=1b-a∫abf(x)dx We have, a=0, b=8

Q: Determine the open Intervals on which the graph ts concave upward or concave downward. (Enter your…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

A:

Q: Se2x sec?e2x Vtan e2x + 2 dx

A:

Q: Evaluate the summation 3i+1. i=1 50 60 20

A: Given query is to find the value of the summation.

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: Use area concept of integral

Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

A:

Q: 10 16 what is 7 | f(s)ds? Given that f(x)dx = - 10 answer =

A: Follow next step

Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

A:

Q: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

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Q: 92. tan? do 3

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Q: 7. Find the constant a, such that the function is continuous on the entire real line. [x+3, f(x) = x…

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Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.