Evaluate the definite integral. I's 5 cos(nt/2) dt

Q: QUESTION 7 Which of the following is or is not an improper integral? Clearly explain your choice. A.…

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Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: We need to find velocity.

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Q: [x²-1 x#1 x = 1 I. II. III. 7. Given f(x) = {*²2 f(1) = 2 (x+1)(x-1) A. I only B. Il only obrisani…

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Q: dy = 26² Q2/B) Solve the following differential equation by using homogenous D.E method dx

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Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about the…

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Q: Evaluate the following integrals / limit/s: 1. S√16-x²dx dz S. 2. √x²+2x

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Q: 12. dx Ve -1

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Q: 1. Find the inverse of 3x + 1 = 4. x-1 (1) y = x (2) x = y-1 10 (3) x = 3y + 1 (4) y = x+1

A: Given :3x+1=ythenf(x)=y=3x+1

Q: = 2x tan

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Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

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Q: Consider the equation below. x² - y² + z² - 2x + 2y + 4z + 2 = 0 Reduce the equation to one of the…

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Q: 6x9-x5+- (A) π B 0 C) None π √4-x2 dx is equal to

A: Here we have to evaluate I=∫-226x9-x5+14-x2dx

Q: Suppose and are non-zero, parallel vectors. Which of the following could not possibly be true?

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Q: A payment of $25,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

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Q: y dy Find S √y+2 A(√3+2-5) (5√3+2+y+24) + C B (√y+2-5) (5√/y+2¬y+24) + C 3 Ⓒ²(√x+2-5)(-3√x+2+y+21) +…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Let's solve given triple integral by using cylindrical co-ordinates.

Q: 17. √16-e² -dx

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Q: f(x, y) = x³+y³-300x - 75y-3

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Q: e Sc (4x + 3√y) c Evaluate figure. ds where C is given in the accompanying CH 1- (0,0) y=x O (1,1) X…

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: (5x²+4)

A: ddx15x2+43

Q: Derive : y = (5x-2) (2x + 3) - 1

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: Change the order of integration of the iterated double integral: -8 r2 To for Y dx dy. 1/3 x7 +1…

A: Let's change the order of given integration.

Q: fax² ax² + bx dx is equal to O ax³ bx² ㅇㅇ + C 3 2 ax³ bx² 3 2 a²x³ 6²x² 3 2 a²x² 6²² 3 2 O + + + +…

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Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

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Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

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Q: 3cos(6x) How can this value be converted to sin How much is it in sin?

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Q: 20. S dr √3-4r-r²

A: On solving this we will get

Q: 4. fsin (In x)dx

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Q: . Find the area between the curve f(x) = √x and g(x) = x³.

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Q: Ashley heard that he could triple his money in 12 years if he invested it in a large…

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Q: f(x) = (6x² - 2x+1)^

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Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

Q: If " (x+5) dx = 14, then the value of b is equal to A) None B 2 (C) 4 D -3 (E) 3

A: Given

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: 2. Use differentiation to find a power series representation for f(x) = (1+x)²·

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Q: 50 50 " (ax³ + bx² + cx) dx = 2b [³²x -50 A) True B) False x²dx

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Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: To find f(x+h) replace x by x+h in f(x).

Q: 3. fx² √9-x² dx

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Q: (2x + 3)dx 9x²+2x+8 17. S

A: Given that…

Q: y = x4; and y = 1 about y = 2

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Q: y = 9x² and y = 0 about x = -4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

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Q: Question +² + 1 and g(x) = 2 between x = 2 and x = 3. If R is rotated Define R as the region bounded…

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Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

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