geometry to evaluate S V4 - x dx. -2

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A: Given

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A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

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A: Given query is to find the equation of the tangent.

Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: 71 Compute Σ (5k2 + k - 3) i=1

A: Solved below

Q: (c) (i) Solve the linear equation: 2(3 - x) = 3(x + 5) Expand (x + 4)(x- 5) and use this answer to…

A: Part c is solved.

Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

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Q: Exercise (2) - Solve using paper solution. d²y dy 2- - y + x = 0 dx² dx Solve using…

A: Find your answer below

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever…

A: Solution:

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Q: 2. [x² √x + 1 dx

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Q: 7) Determine the total area bounded between the function y = 1 – x between 1 and 1. -

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Q: Use the indicated methods to approximate the area under the curve f(x)=x²-1 on the interval [2, 5].…

A: Here we have to find the area.

Q: Find the limit. lim (t i - 5 j+1² k) i+ i j+ i k lim (t i-5 j+r k) = i %3D

A: This question is based on limits.

Q: Use any method to determine whether the series converges or diverges. √k k³+27 The series diverges.…

A: Given query is to find series converges or diverges.

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A: Solution is given below:

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Q: Suppose that f(1, 0, − 1) = 2, and f(x, y, z) is differen- tiable at (1, 0, -1) with Vf (1, 0, -1) =…

A: We have to find out equation of tangent plane and parametric equations of normal at point (1,0,-1)…

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A:

Q: The equations for free fall at the surfaces of Saturn and Jupiter (s in meters, t in seconds) are s…

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Q: 6 Find the derivative of: 9/x

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Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 3. [_x dx √2 +*

A:

Q: Graph the function using translations. f(x) = 3x+1

A: We will find the suitable graph.

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A: Let 'x' be the number of  children's and 'y' be the number of adults. Now x≥0 and y≥0 since the…

Q: Use the Divergence Theorem to find the flux of F(x, y, 2) = (a* – e)i+ (y³ + sin z)j + (2³ – cy)k 3…

A:

Q: Let f(x) = 2x + 15 – 7e". Then the equation of the tangent line to the graph of f(x) at the point…

A: We know that equations of tangent line at the point (x1,y1) is given as - ( y - y1 ) = m ( x - x1 ).…

Q: y? = x and y2 = 2 – x %3D

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Q: 11. If f"(x)=-4sin 2x, f(0)=0and f'(0) =2, find the value of f 4

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Q: 21 · 8* cos (8*) dx =

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Q: Find the derivative of g(x) = fecost dt.

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Q: Find T(t) and N(t) at the given point. r(t) = 10 cos(t)i + 10 sin(t)j + tk; t = 2 TE) -| 6) =

A: we have to find unit tangent vector and normal vector.

Q: 4. S (x + 1) √2x − 1 dx

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Use Green's Theorem to evaluate the integral (2x? – y)dx + 4xdy where C is the circle x? + y² = 9…

A: To evaluate the given integral using green's Theorem.

Q: Use the indicated method to approximate the area under the curve f(x) = x³ + 28 on the interval [-3,…

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

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Q: Given k(t)=log_2.4(t+1.6)−3.7 The 3 starting points you would use would be:    . Round answers to 4…

A: Given : K(t) = log2.4(t + 1.6) - 3.7 Basic Function : y = log2.4 t The 3 starting points you would…

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Q: Verify the formula F.n dS div FdV in the Divergence Theorem by evaluating the surface integral and…

A: