35. f(x) = X 1-x² 5; a=0

Q: Evaluate. (Be sure to check by differentiating!) S(5+x²) x²³ dx ... S(5+x¹)x³dx= (Type an exact…

A: The given integral ∫5+x46x3dx. We have to find the integral.

Q: Evaluate the following limi 1 9x² lim x² In 1-

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Q: 1. Explain why the linear approximation becomes less accurate as you increase the distance between x…

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Q: 7. Find the equation for the plane tangent to the surface x² + 4y² + 9z² = 17 at the point P (2, 1,…

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Q: Given the following vectors a = (3,4,5), b = (7,-1,3) and c = (-1,6,−1) a) Find the area of the…

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Q: Use a Venn diagram. Let P(Z) = 0.47, P(Y) = 0.28, and P(Z UY)=0.59. Find each probability. (a) P(Z'…

A: P(Z)=0.47 P(Y) = 0.28 P(Z U Y) = 0.59

Q: Consider the function f(x) = x²e¹. f(x) has two inflection points at x = C and x = D with C < D…

A: We have to find the inflection points of the following

Q: (a) g(x) = 1.3(7)-* The graph is ---Select--- lim and -Select---

A: When increasing function thek the first derivative is great than zero  And concave up then the…

Q: Evaluate S F · dỡ where F = (z, 4y, 2x), and C is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ ñ o

A: F→=z,4y,2x and C is given by r→t=t,sint,cost

Q: Fritz Benjamin buys a car costing $10000. He agrees to make payments at the end of each monthly…

A: We have to find the monthly amount paid by fritz.

Q: Find the interval and radius of convergence for the power series ∞ n=0 xn 3n+1

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Q: Write the vector in the form (a,b). y Au 0 600 X

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Q: Please solve question 9. Thank you.

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Q: For the function: g(x) = 2x³-3x²-12x+15 Find the intervals where the function is increasing or…

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Q: Consider the function f (x) = ln(x - 3). Find the inverse of f and call this function g(x). Evaluate…

A: fx=lnx-3

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Q: The Horizontal Asymptote of a rational function is always determined by the leading coefficients of…

A: Given, a rational function.

Q: A graphing calculator is recommended. The population of a certain species of bird is limited by the…

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Q: The cost of a first-class postage stamp in 1962 was 4 cents. In 1999 it is 33 cents. The cost was…

A: The cost of a first-class postage stamp in 1962 was 4 cents. In 1999 it is 33 cents  And it becomes…

Q: Find the interest. Principal $1350 Rate 7.5% The interest is $ (Round to the nearest cent.) Time in…

A: Given data

Q: Find the derivative with respect to x the function √√2-3x² A. B. C. D.. -2x² √2-3x² -3x √2-3x² -3x²…

A: 1) The given function is sqrt(2-3x2) 2) y=arc sin cosx

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

A: To find the volume of the solid obtained by rotating the region enclosed  by the graphs about the…

Q: The graph of f(x,y)=¹+¹+63xy has xy One local maximum point and one local minimum point. O One local…

A: Write the given data and find the first derivative÷

Q: 1. Estimate the area under the graph of f(x) = x³ - x + 1 over the interval [0, 6]. Write your…

A: Given f(x)=x3-x+1 over interval [0, 6].Now, we need to divide the interval [0, 6] into 4 rectangles,…

Q: r(t) = (e-cos t)i + (esin t)j + 5ek, –ln 2 ≤ t ≤ 0 35 √23 B) 4 2 A) 啞 2 D) 23 4

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Q: vic 5 for 5: Calculus AB Day 6 x AB3: Evaluate f(x) f'(x) AB2: Let G(x) = ef(x). Find G'(6). [²³xf…

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Q: You are given the four points in the plane A = (0,5), B= (5,-2), C=(8,5), and D=(12,-5). The graph…

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Q: Find the points on the given curve where the tangent line is horizontal or vertical; r = cos…

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Q: 3. Find the equation of the tangent line to the curvey = (2x² − 3x)(4x³ + x − 1) at x = 2.

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Q: Each of the functions g, h, and k in the table below is increasing, but each increases in a…

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Q: 35. Prove that f(f ¹(B)) C B.

A: To prove the following

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Q: 2. Evaluate the integral [2²e da

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Q: Find the future value of this loan. $10,590 at 5.9% for 10 months

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Q: 3 2 Find the domain of ƒ(x)= 80°F Mostly cloudy O {x|x€R¸‚x#-6} O {x|x€Rx#8} ○ O {x|x€Rr#-8}…

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Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: Question Find the area of the region common to r = 19 and r = 19√2 cos (0). Enter an exact answer.…

A: r=19r=192 cosθ  Find the area of the common region

Q: Calculate JJ₂ S F.ds where

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

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Q: x = 6 cos 0 y = 9 sin 0 0 ≤ 0≤ 2π

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A: The force is: F→=x,y,z The equation of the ellipsoid,x216+y264+z2=1

Q: 3. Prove 32n-1 is divisible by 8.

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Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

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Q: Find the annual percentage yield for an investment at the following rates. (Round your answers to…

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Q: Find the parametric equations of the line passing through (1,0,-2) and parallel to the plane…

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Q: [[ Sydv E and z = 15 - 2y Find y dV, where E is the solid bounded by the parabolic cylinder z = x²…

A: The solid is bounded by parabolic curves and planes z=x2y=0z=15-2y We have at y=0, z=15 Thus,…

Q: Learning Target IA4: I can setup and use integrals to compute the average value of a function on an…

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Q: Find the volume of the solid bounded by z-8-8(x+y) and 2- (²

A: z = 8 - 8(x2 + y2) z = (x2 + y2)2- 1 The intersection of these two surfaces is, 8 - 8(x2 + y2) = (x2…