Find the area of the shaded region on the right. The area is (Simplify your answer.) 20- y = 5x² y = 40 - 10x

Q: A sinking fund is established to discharge a debt of $30,000 in 15 years. If deposits are made at…

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Q: use the limit process to find the area of the region between the graph of the function y=16-x^2 and…

A: Given data:- y=16-x2,  -4, 4 Find:-  The area of the region between the graph of the function…

Q: Use the Midpoint Rule with n = 4 to approximate. Round to four decimal places.

A: We are required to:Evaluate ∫13sin(x3)dx using the midpoint rule with n=4.

Q: Find the area of the region under the graph of the function f on the interval [0, 9]. f(x) = 9x - x²…

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Q: For each n the interval [2, 8] is divided into n subintervals [ri-1, 2] of equal length Az, and a…

A: The answer is in step 2.

Q: Find the general solution of the differential equation using separation of variables. y' = y² (1 −…

A: y'=y21-6x2

Q: 3 f(x) = 4x2+43 23 2 f(x) = 2x² - 4+18 -

A: we shall integrat first then use initial condition

Q: Find the antiderivative for the following function. f(x)=4√x + 1/x2

A: f(x)=4x+1x2

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Q: Give a possible formula for the function below. Let A = (-1, 8) and B = (1, 2). Use the general…

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Q: Find the area between y = (x-3)* and the x-axis from x=3 and x = 8. The exact value for the area is…

A: y=x-3ex Find the area between the curve and the x-axis from x=3 and x=8

Q: Use the given graph of f to find the Riemann sum with 3 subintervals. Take the sample points to be…

A: The interval, [0, 6] Number of subintervals, n = 3. a = 0b = 6∆x = b - an = 6 - 03 = 2 The x -…

Q: 50 -40 30 -20 10 2 3 4 5 6 8 9 10 11 Use the Fundamental Theorem of Calculus to find the area under…

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Q: f (x = e 2x

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Q: Evaluate the limit: lim x-9 S (6t - 5e-9) dt x 9 =

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Q: f(x)=log_(5)(1-x^(2)) Write your answer as an interval Domain: (-1,1)

A: fx=log51-x2

Q: The population of a certain city is projected to grow at the rate given below. The rate is measured…

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Q: Solve the equation on the interval 0≤0 < 2. 9 cos (20) = 9 cos 0

A: Given: 9cos2θ=9cosθ, 0≤θ≤2π To Find: solution

Q: Find an approximation of the area of the region R under the graph of f by computing the Riemann sum…

A: Graph :-

Q: 2 The demand equation for a certain product is 5p² +4q² = 1700, where p is the price per unit in…

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Q: Solve the IVP: dy dt +0.4y = et, y(0) = 3.

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Q: Find the path c such that c(0) › = (0, −12, 15) and c'(t) = (t, e¹, t²). (Enter your solution using…

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Q: Evaluate the improper integral: -dx ox-1

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Q: Graph both functions on one set of axes. f(x) = (2)* and g(x) = 1.5* -4 -2 -2 y 6 2 y 6 4 2 2 2 4 X…

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Q: Question 1 The diagram shows the graph of y = f(x). Sketch the graphs of the following curves: (a) y…

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Q: Find all the zeros of the function f(g) = g³-g+6 O-2,1+i√√21-i2 O 2,1+2i, 1-2i O 2,1+2i, 1-2i 21+i…

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Q: EN 10 1 2 2.5 3

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Q: Evaluate the following indefinite integral. 1 (2 ;)₁ Note: Don't forget your C! And be sure to use…

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Q: Suppose = cos - ¹ (-4). . Determine the exact value of the following quantities: (a) In what…

A: θ=cos-1-47 (a) θ reside in quadrant II (b) cosθ=-47

Q: Find fx, fy, fz, and fyz for the following. Also find fy (5,5, -3) and fyz (1, -1, 0). f(x,y,z)=x5 +…

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Q: Consider the parametric curve: x = 7+4 cost, y=9+4sint, 9+4 y = sint, The cartesian equation of the…

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Q: Find the A) product of - 2 2 3 4 MS 3 5 5 6 ㅋ A-B

A: A=13-25 and B=253647

Q: Express the function in the form fogoh. (Use non-identity functions for f, g, and h.) H(x) = √7 +…

A: To solve the following

Q: 9. The demand equation for a certain product is p demanded for the product. =√-0.04x+8 where p is…

A: We have to find the elasticity.

Q: Evaluate the improper integral: xe* dx

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Q: lim xln(x+2) +0←x

A: We have to solve the given limit.

Q: 2. curves. a f(x) and g(x) are graphed below. Set up the integral that would find the shaded area…

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Q: 7 Consider the function f(x) x3 Then F(x) = -7/(2x^2)+ 5/(6x^6) + 11/6 5 . Let F(x) be the…

A: Given

Q: c. Does the series converge or diverge? Σα 1 Clearly justify your conclusion. n

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Q: Find the arc length of the curve below on the given interval. 3/2 y= ²(x²+1) ³/² on [0,6] The length…

A: The solution is shown in step-2

Q: Evaluate the following definite integral. If necessary, 10 [.²⁰ - 5 -9t² +7t-6 dt =

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Q: 1. Find the area under the curve y = e2x over [0,3] as an exact value and as a decimal approximation…

A: The given curve is:y=e2x          over 0, 3

Q: Find the indefinite integral. (Use C for the constant of integration.) √tan(8x) sec²(8x) dx 3 (tan…

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Q: -1 46. y = cos¯¹(x + sin¯¯¹ x)

A: We need to find derivative.

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 49 + x² -…

A: Surface area of z= f(x,y)  over region R Area=∫∫R1+fx2+fy2 dx

Q: Lucky Dog Daycare will be enclosing an 800 square feet outdoor area. One side will be formed by the…

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Q: Problem 2.A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85-0.18…

A: The solution is shown in step-2

Q: Find the area of the region enclosed by the graphs of y = 3 sin(x) and y = 3π 4 4 cos(x) from x = ㅠ…

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Q: 48. lim xsin x x →0+

A: We need to evaluate limit.