If f(z) = 19z+ 24, find f'(-3).

Q: Megan leased a car for 5 years at a rate of 4.80% compounded monthly. It required her to make…

A: Total amount paid after 5 years or 60 months = 665 x 60 = $ 39900 Remaining amount that she can pay…

Q: Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the…

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Q: (a) Find the volume of the solids generated by revolving the region bounded by the curves y = 4-x²,…

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Q: Consider the region B under the graph of y = 3x² + 1, x [1,3], and above the x-axis. Find the area A…

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Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

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Q: Find the derivative of the function f(z) = √2 O None of these. 37 Of(z) = √2z f(2)=

A: We will find the derivative.

Q: A share valued at $258.65 pays quarterly dividends in perpetuity at a rate of return of 5.50%…

A: Given that      share price =P= $ 258.65                      rate of return   = 5.50%…

Q: Consider the function: f (x) = −6x/ 6x^2 − 54 Step 1. Determine the intervals on which the function…

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Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: The number of square feet in the total surface of a right circular cylinder is equal to the number…

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Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: an = n 2.6 (1+2:0) "

A: Please see the below picture for detailed solution.

Q: (b) By using trigonometric substitution, evaluate the following integral √ √F² + 4x + 5d.

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Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: f(x) = 5* g(x) = log5 (2²-4) Find (fog)(r) and obtain its domain h(x) 6-x 2x - 5

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Q: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by rotating the sine…

A: Let's solve area of surface.

Q: Use the Ratio Test to determine whether an 15" n! Evaluate the following limit. an+1 lim n→∞ an an…

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

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: If the revenue function for a particular commodity is R(p) = q(p) = Give a reason for your answer. R…

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Q: (a) Find the area of the region bounded by the given curves a x = e.

A: Solved below.

Q: Find f   f '''(x) = cos(x),    f(0) = 7,    f '(0) = 6,    f ''(0) = 5

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Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

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Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

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Q: The diameter of the base of a circular cylinder is 8 fteet and the elements are inclined to the base…

A: We have to find the volume of the cylinder.

Q: sin² 2 (KTT) сс 2 Σ (***)_ ~*(+)) k4 k=1 8k

A: We have to solve the series.

Q: An $82,000 business can be purchased by making a down payment of $17,000 and financing the balance…

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Q: L3Q11.The number of bacteria in a certain food is a function of the food’s temperature. The number…

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Q: Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the…

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Q: A $47,500 loan was cleared in 5 years by setting up a sinking fund that was earning 3.25% compounded…

A: Let's find sinking fund deposits and interest.

Q: Find the transition points. f(x) = x(17- x)¹/3 (Use symbolic notation and fractions where needed.…

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Q: b) [. obtained curve 1: Find the volume of the solid by rotating the region bounded by the y = -x² +…

A: Solve the following

Q: Find the area of the region bounded by the graphs of the equations. x = 1, x = e, y = 0 y

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Q: A sales representative for a company that produces blenders can sell x units of their deluxe model…

A: To marginal profit is the derivative of the profit function, which is based on the cost function and…

Q: 6 5 4 3 2 I | y = f(x) 1 1 01 2 ? | 3 4 | 1 + 5 6 7 1 X 89

A: Topic- limits

Q: ht plane to th t the point where (x, y) = (2, 2) has the equation z = ƒ (x, y) = ln (4x4 y+1) OSP

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 5 sin(t). The initial…

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Q: q+m (v) m Submit Question 2 1 -6 -5 -4 -3 -2 -1 -1 2 3 A 16 5 1 Find an equation for the graph…

A: General equation  m=AsecBv-c+d Now we need to find A,B,C and D

Q: 7 circle r = cos 6 and circle r = sin 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: First four terms of the sequence are: O O O ○ ○ O 6 {ff, 5 14 9 n²+5 n 1+4 n 61 36 26' 14 { 14/1/2,…

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Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

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Q: Let f(x) m = and b = = The slope of the tangent line to the graph of f(x) at the point 10 The…

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Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Given that functiony=x+1  ,4≤x≤10Solution :y=x+1y'=12x+1y4=4+1=5y10=10+1=11local maxima at x=10local…

Q: Determine the vertical and horizontal asymptote of the graph of the function. h(x)=x-2/2x2+8x+8

A: We can find the vertical and horizontal asymptotes as below.

Q: Consider the points below. P(1, -4, 5), Q(-1, -2, 3), R(4, 1, -3) (a) Find a nonzero vector…

A: We have to find the nonzero vector orthogonal to the plane through the points P, Q, and R and find…

Q: Select the graph that best matches the function. = -4 cos(x + ose y = O a) TL (-1/2, 4) (3x/2, 4)

A: Given equation:- y=-4cos(x+π/6)  To find:- Sketch the graph of given equation

Q: A cable hangs between two poles that are 70-ft apart. The two poles are both 40 foot high. Sag is…

A: Let's solve length of cable.