(a) an = 5+7n² n+ 3n²

Q: 2- Évaluer les intégrales suivantes: a = √ x√x + 5 x ₁² dx x2 2- Evaluate the following integrals:…

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Q: 3. A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well…

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Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 64-y² and x = 0 for…

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Q: ;) Choose/box the correct statement. To evaluate x³ 3x² +1 dx x²-1 we begin the calculation by A.…

A: This question can be solved using the concept of decomposition of improper rational function.

Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: 1. Integrate using an appropriate method. [2si 2 sin³(r) cos² (r)dr

A: The given integral is: I=∫2sin3xcos2xdx   As we know that; The trigonometric identity; sin2x+cos2x=1…

Q: Give an example of a function f (x) that has one  positive derivatives on the range (−1, 0) and a…

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Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

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Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

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Q: Let f(x, y) = 2x² + 3y2, then (2, 3) is not a critical point of f(x, y). Select one: True False

A: I have calculated the critical point of the given function

Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Find the average value over the given interval. 32) y = 5x2; [-1,2]

A: We can find the average value as below.

Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: .1.2

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Q: Consider the following function and its graph. f(x): X x² + (b) Use the graph to determine the limit…

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: Without using a calculator, for the following, find the length of the curve over the given interval:…

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Q: 7. Find the exact length of the curve: x (t) = 2t, y(t) = 2t, 0 ≤ t ≤ 1

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 Ilm…

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Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

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Q: Reverse the order of integration in order to calculate the following integral: C. S 2 1+x4 dx dy.

A: I have stated the used formulas in the solution

Q: dx Assume that x = x(t) and y = y(t). Let y = x² + 3 and dt Find dy dt dy dt when x = 5. (Simplify…

A: We have to find the derivative

Q: Given the region D in the first quadrant enclosed by x = 0, x = y², and y = 2. Express D as a region…

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Q: 6.F. F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: Question 1 1 a. [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) =…

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Q: Find the derivative. F'(x) if F(x)= (ex¹ +5) 3 F'(x)=

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Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: 7. Given r 2 sin(0) for T/2 ≤ ≤ 3π/2. = (a) Graph the region described above. (b) Using basic middle…

A: Given data÷ r=2sinθ ,π2≤θ≤3π2   a) The graph on the interval is a circle and is given below

Q: Write a set of parametric equations for the surface of revolution obtained by revolving the graph of…

A: We have to find parametric equation.

Q: 8. Convert the angle 315° into radians.

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Q: Without using a calculator, for the following, determine the slope of the tangent line, then find…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

A: Given, Foci: F(0,±2),  vertices: (0,±5)

Q: a) [ Sketch the region R. 1 b) [] Set up the double integral that represents the area of the region…

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Q: F(x, y, z) = yzi + xzj + xyk (a) C₁: r₁(t) = ti + 3j+ tk, 0≤ t ≤9 (b) C₂: r₂(t) = t²i + tj + t²k, 0≤…

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Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: Solve the problem. 18) A beverage company works out a demand function for its sale of soda and finds…

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Q: Find local maximum and minimum values ​​as well as maximum and minimum values ​​for the function.…

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Q: What bearing and airspeed are required for a plane to fly 700 miles due north in 3.5 hours if the…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines <<math y =…

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Q: The gradient vector of the function f(x, y, z) = ln(yz) + x² is: Select one: (2x, /, // ) (2x, -, -…

A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .

Q: I. Perform the indicated multiplication on the differential operator D. (D+2x)(D-3x)

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Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact…

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Q: Give an example of a function of the variable x that has a: a) vertical asymptote in x = 2. b)…

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Q: 8. Graph the curve and find the area that it enclosed: r = 2 cos(0).

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Q: 9. Find if x (t) = t + sin(t), and y(t) = t - cos(t). doe

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Q: Find the work done by a person weighing 175 pounds walking exactly one revolution up a circular…

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Q: [ 1² dx dy = 1/2 Select one: True False

A: Evaluating the definite integral

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

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