Question 7 Find the area of the region(s) enclosed by the curve f(x) = x³, the x-axis, and the lines x = -1 and x = 2. (A 12/45 (В) 6 D) 17/4

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Q: 27. | (u + 2)(u - 3) du 2+x 29.

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Q: 55-58 Use the properties of integrals to verify the inequality without evaluating the integrals. 55.…

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Q: (d) Select the correct choice below and fill in the answer box within the choice. O A. lim f(x) = X…

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Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3…

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A: The given function is: f(x)=e-5x

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Q: a 0 0 0 0b0 0 0 0 c 0 0 0 0 d Using cofactor method, prove that det M = = abcd

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Describe the graph of the equation. r = 4 cos t i – 14 sin t j + k O An ellipse in the plane z = 1,…

A: Here, the given parametric equation is: r=4 cos t i-14 sin t j+k⇒r(x(t),y(t),z(t))=(4cos t, -14 sin…

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Q: Evaluate the iterated integral. 4ze dy dx dz

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Q: Find the volume of the region enclosed by z = 1 – y? and z = y² – 1 for 0 < x < 21. V =

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Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

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Q: -6w + x + 3y + 6z = -6 -7w - x – 9y – 2z = -33 -4w – 9x + 8y + 9z = -94 -w – 6x – 10y + 9z = -202…

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Q: Find the directional derivative of f(r,y, z) = e² cos(Tyz) at (0, 1, ) in 2-1 -y-1= I-2 the…

A: To Find: Directional derivative

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A: Directional derivative: D f = del f • unit vector of direction

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Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x? cos(x) (Use…

A: The given function,      fx=7x2cosx

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Q: 31.| CSC I COLI dt

A: We will use substitution method to solve both the integral.

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Q: 3. 1- xZ dx

A: The integration of the integral is x4sqrt(1-x2), limit from 0 to 1.

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

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Q: 11 Evaluate the iterated integral. JJ, J, (x² + y² + z?) dx dy dz A 5 в) з D 10 00

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Q: d y Find dx? for the parametric equation: x = et;y3Dt³ +t+1

A: Find your answer below

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