f(t) = cos² (t)

Q: Evaluate the following double integral over the region R by converting it to an iterated integral. S…

A: To evaluate the following integral over the given region.;

Q: The demand function for a certain commodity is given by p = 100e-9/2. (p is the price per unit and q…

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Q: Find the indicated derivative. q²+2 4q-5 dp dq dp dq . for p =

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Q: 10+ 8 6 4 2 -6 -5 -4 -3 -2 -1 -2 -4 -6- -8- -10 1 2 3 4 5 The function graphed above is: Concave up…

A: We solve the given problem by using the second derivative

Q: 3. Consider the sequence defined recursively by 3 90+1=1 (0+²) an+1 (an an 2 an (a) Write the terms…

A: In this question, we will find the first six terms of the sequence and the limit of the sequence.

Q: Find the limit. Use I'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: vergence. Given the series n=1 1 √n +3 explain why the integral test would be proper test to use to…

A: Then, we need to find the series is convergent or not

Q: Evaluate the triple integral. J (x - y) dv, where E is enclosed by the surfaces z = x²-1, z = 1 -…

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Q: Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and…

A: we need to find out the

Q: (-4+9i)(-7- 2i)

A: Given the expression we have to find the expression in (a+bi) form

Q: The following expression has bee simplified as a single exponential: eª e-b = ep What is the…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: Determine whether 1 n³/2+2 is convergent.

A: Given that the series we have to find whether it is convergent or not

Q: Simplify the expression completely. /−1 - 4√−125 + √64 +2√9

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Q: Question 3.55) Differentiate the following functions. Simplify your answers as much as possible. B)…

A: In question 3.55 there are many questions  which are not sub part of  same question  , so as per…

Q: The fuel efficiency E (in kilometres per litre) of a certain car driven at a speed v (in kilometres…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: Take derivative.Take the second derivative.

Q: Find the derivative. F'(t) = F(t) = In(sinh(5t))

A: The given function is; F(t)=ln(sinh(5t))

Q: The total cost function for a product is C(x) = 875 In(x + 10) + 1600 where x is the number of units…

A: We need to find the cost of 200 units of product in (a) and find the no. of products which will have…

Q: If the graph in Figure 4.3 is that of f'(x), which of the following statements is true concerning…

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Q: Find A. (2A)-1 [ 리 -2 -2 21

A: given

Q: Test the series below for convergence using the Ratio Test. 3n Ỹ 370 n! n=1 The limit of the ratio…

A: The series is given bywhere Ratio Test for series convergence:

Q: Simplify the expression completely. -3√-36 + √-1000-3√-64 √25

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Q: Jane Adele deposits $1,700 in an account at the beginning of each 3-month period for compounded…

A: Solution-The formula of annuity due is given by,

Q: 26. In arranging people around a circular table, we take into account their seats relative to each…

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Q: 25. A jar contains 12 differently coloured balls. If you remove the balls by taking two balls, one…

A: find the number of colour sequences possible in given question.

Q: f(t) = 2t³ + 3t2 - 36t

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Q: For her 1st birthday, Ruth's grandparents invested $1300 in 18-year certificate for her that pays 8%…

A: For her 1st birthday, Ruth's grandparents invested $1300 in an 18-year certificatefor her that pays…

Q: A tank contains 100 gal of fresh water. A solution containing 0.5 lb/gal of soluble lawn fertilizer…

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Q: 5. a) Draw the graph of a function for which the conclusion of the mean Value Theorem does not hold.…

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Q: ∞ (d) Ene-n? n=1

A: We have to determine whether the series converges or diverges.…

Q: The Integral Test enables us to bound the error approximation of the series 1 Σ n=3_n (lnn)5 by the…

A: The given series is

Q: Calculate the first partial derivatives of f(x, y, z) = x²y²log(z) + zexty.

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Q: Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle…

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Q: Let f be the function below. Indicate where f(x) is differentiable. You may click on the graph to…

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Q: Let y = 3x2 + 3x + 4. If Δz = 0.1 at x = 5, use linear approximation to estimate Ay Δy ~

A: we have given

Q: k! (k+ 3)!

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Q: Find the derivative of the function. u(x) = (x² + 1) 8x² - 1 u'(x) = Need Help? X Read It Watch It

A: Given that the expression we have to find the derivative of the given expression so u'(x)=?

Q: Describe the given region in polar coordinates, such that 0≤r and 0≤0 ≤ 2. C 1 2√3 ✔ The lower…

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Q: Suppose that Vf(x, y, z) = 2xyze¹¹i+zeªj+yeªk. If f(0,0,0) = 2, find f(3,3,4). Hint: As a first…

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Q: The graph of f" is given in the figure below. (Click on the graph for a larger version.) Draw graphs…

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Q: Find the derivative of f (x) = ln x² sin x 2x+1

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Q: A bride throws her wedding ring out the window of her honeymoon suite at an initial velocity of 32…

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Q: Find the limit. Use I'Hospital's Rule where appropriate. If there is a more elementary method,…

A: Given Expression for limit is as follows As we know that

Q: Change the Cartesian integral 3 √9 - 3 0 dy dx into an equivalent polar integral. Then evaluate the…

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Q: S 1.0 1.0 *

A: From the graph of f(x)f(1)=1.5Let (x1,y1)=(0,0)(x2,y2)=(2,3)f′(x)=y2−y1x2−x1f′(1)=3−02−0=1.5From the…

Q: Please ignore answers that are written in.

A: The objective of this question is to find the limits of integration for the triple integral that…

Q: The cost of manufacturing a toasters in one day is given by (A) Find the average cost function C(x).…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Ax Solve the equation Cx+D D=11, and G=5. Ax Cx-D = G C²x²-D² where A=-12, C=-11,

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Q: 48) use formal definition of infinit Limit Lim I 4.3 x 70 [x] =X

A: