These are separate quesitons

Q: 0 Figure A y = x³ y = √√x X

A: Given

Q: 5x5 (a²-x²)6 dx 0

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Q: find the inflection point to the right of y-axis of the curve defined by the equation, y=x^2/2 +…

A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

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Q: For each graph, choose the function that best describes it. (b) (a) (Choose one) (Choose one) (c)…

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Q: 2 x (1 + y²) dx -y (1 + 2x²) dy = 0

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Q: lim.. lim X→+∞0⁰ In5 x x² In 1000 X 5 X X→→→→+∞0

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Q: 1) Determine the projection of a= [5, -4, 8] onto b = [3, 7, 6].

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Q: 1. f(t) = (t5+t) (t³ - 4t+1) 2. g(x) = (+1)(3x - 1) 3. h(x)=¹

A: Topic:- function

Q: [x³√₁-x² x2

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Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.

Q: Find the equation of the tangent line to the graph of the function f(x) = sin (3/7) at the point…

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Q: du du dx' dy 1) u = 3x²y + xlny² - Inxy 2) u =xe*Y+ ‡ ArcTan , 3) u = +2²-3² I. Find and (whenever…

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Q: What is the expansion of the binomial expression (x + y)⁵ ? What are the binomial coefficients?

A: Solution of given question is written in below steps.

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: Let A be the set of students who live one km from school and let B be the set of students who walk…

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We need to find critical point and graph.

Q: Evaluate the definite integral. 5 4u [(-*--*--* du (u + 3)² 4 5 1 ((---)-D 4u du (u+3)²2 4 (Type an…

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Q: 2. F(s): = 1 (S-2)(s-4) (s-8)

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Q: Sx". .n-1 + n[x²- x" sin x dx = -x cos x + n cos x dx

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Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: 27777 Memo No. Date 1 Mo Tu We Th Fr Sa Su Solve the following 1)√(x² + 2x²) dx if (cosx - sinx) dx

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Q: If a force of 5lb produces a stretch of one-tenth the natural length L ft of a spring, how much work…

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Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,∞)

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Q: Determine el valor de a € tal que: 8 et 12x = f -dx = e 2x a +1

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Q: Evaluate ³9x³y² dydz Select one: a. 3360 O b. 1280 OC 2245 O d. 652

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Q: Solve the boundary value problem y" + 4y' + 13y = 0 y(0) = 0 y'(pi/2) = 0

A: To solve the given differential equation

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (2,315 degrees) 2. (1,…

A: 1) We know that relation between cartesian co-ordinate and polar co-ordinates, x=rcos(θ),…

Q: 2. Use integration to find the volume of the solid generated which is bounded by x + y = 2 and the x…

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Q: xp h+Z² S Select one: a. Ob. c. Od. In x² +4 + c In 2+2+c ln +4+c In 2+2+c

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Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

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Q: xy a. Compute the first- and second-order partial derivatives of f(x, y) = xe with respect to both x…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: 3. F(s) : = s² s4 +16

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Q: Solve the initial value problem 2y" + y' - 10y = 0 y(0) = 0 y'(0) = 1

A: We have to solve the initial value problem.

Q: 4 0 dx 1+ √x

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Q: Directions: apply the limit theorem 3 1. lim x-24 2. lim-45 x-2 62 3. lim x 2 3 4. lim x x-2 5. lim…

A: Please refer to the image below

Q: answer a and b. Use implicit differentiation to find an equation of the tangent line to the curve at…

A: This question is based on finding tangent line using implicit differentiation.

Q: a and simplify (fºg) d 4x-2 + ₂X = + ₁2x = (x)6 X-01 = (x)} = ₂

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Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: 14 Find f(x) dx for each graph of y = f(x). 0 (a) Q (b) 16- 0 888 16 16+ y BABBARBADE 0 16 Q

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Q: 1. The figure shows the graph of a function f(x) with domain 0 ≤ x ≤ 3. Which of the following…

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Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

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Q: What is the solution of 5 |x - 2|dx

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Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: 4. Solve each for angles between 0° and 360°. (Round final a steps.) a) cos=-0.2186 b) 5-2 sin0 =…

A: The solution as follows :

Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: Find the second derivative of f(t) = [(1+)¹ +1]¹

A: