(a) [2 2 2x dx

Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

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A: topic - differential equation

Q: 1. y = x-3 2x³+x²-18x-9

A: As per our guidelines we are supposedly to  only one question. Kindly repost others question as a…

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Prove that (3-2)(x+2) = 3+2i ifitues.

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: Find the average value gave of the function g on the given interval. 9 ave 11 g(t) = t √8+2² 8 + t…

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Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: C 3X -2 3X Se ³x (e³x +4)² dx

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Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: A rectangular field is to have an area of 500 m². a. Write the perimeter, P, of the field as a…

A: The solution is given below

Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places.…

A: This question can be solved using the concept of convergence and divergence.

Q: A 10​-foot ladder is leaning against a vertical wall​ (see figure) when Jack begins pulling the foot…

A: Here we have to find the rate of change.

Q: Two elves can make 5 toys in 10 minutes. How many toys can 3 elves make in 20 minutes?

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Q: Answer the following questions for the function f(x)=x√x²+1

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Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .

Q: a. b. C. Evaluate the following double integrals: (2xy + 3y²)dydx (r)drde (e-²) dydx (Changing the…

A: We need to evaluate the given double integrals. Please see below fora detailed answer.

Q: Determine whether the improper integral diverges or converges. 16 1 √√√x dx converges diverges…

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Q: LI) Prove that (3

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: (d²4)(d - 2)y=0

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Q: 2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

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Q: Find fx, fy, and f, and evaluate each at the given point. f(x, y, z) = x²y³ + 2xyz - 6yz, (-3, 1, 3)…

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Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: A function is given. f(x) = x³ 3x²; x = 0, x = 10 (a) Determine the net change between the given…

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: w = sqrt(25 - 4x2- 4y2),  x=r cos(theta),  y=r sin(theta) (a) Find del w / del r and del w / del ?…

A: If w=f(x,y) ; x=g(r,θ) and y=hr,θ then           ∂w∂r =∂w∂x.∂x∂r+∂w∂y.∂y∂rand…

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

A: In this question we have to Integrate using the method of trigonometric substitution.

Q: Question 16 Find the curvature of the plane curve y = 5x² +8 at x = -1. Round your answer to three…

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Q: The region bounded by y=-|x-2|+1 and the x-axis is rotated about the y-axis. A. Sketch a graph of…

A: Concept: The washer method: The washer method is the name for the use of the slicing technique.The…

Q: at f" si sin rdr = 2, find the average value of the sine function on the interval [0.7]. Also, find…

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Q: Prove the identity. 1+ tan 0 1- tan 0 1- tan 0 =0 19: + To verify the identity, start with the left…

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Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: √2x+6 2. Y = √√√3x² +10x +3

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find lim x-(-1)- O-2, -7 O-7,…

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Q: Find both first partial derivatives. = In ( + ) əz əx əz ду || = Z (No Response) (No Response)

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Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

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Q: directional

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Q: Use the half-angle identities to evaluate exactly. sin 112.5° sin 112.5° = (Simplify your answer.…

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

A: Here we have to choose the correct option.

Q: Given the function xye9-sin² ecos² fxx of f is equal to 0. f(x, y)= The second derivative Select…

A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…