2 x – 4 dx .2 1

Q: Which of the following is an antiderivative of f(x) = sin r cos r? %3D (a) sin? x (b) cos? z sin 2x…

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Q: 4. Perform the indicated multiplication of the two differential operators: (D –x)(x²D– 2x).

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Q: 3. Determine the valume of the solid ebtained by rotating the region bounded by y=x² and x =y2 about…

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Q: Find the area of the surface generated by revolving the curve about each given axis. *- 7t, y= st,…

A: Surface area genarated by revolving the curve about x-axis is parametric notion is…

Q: Find dy/dx. x = Vt y = 9-t dy dx

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Q: Find div F and curl F if F(x, y, z) = 13y z'i – 13x°2°j - 4xy°k. div F= %3D curl F-

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Q: Given the following equation, determine y using the methods discussed in class a - y = cosh(cy) |

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Q: Question 3 dy Given the following function, determine do sec 0 You may use Insert -> Equation to…

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Q: Determine the area of the region between the x-axis and the graph of the curv -1 from x- 0 to x- 4.…

A: Area bounded by curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on a,b…

Q: 1. Find all relative extrema and soddle points of the functon Use econd Partials Test where appli…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: 2. (Section 9.2) A refinery produces both gasoline and fuel oil, and sells the gasoline for $4.00…

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Q: Current Attempt in Progress Find curl(6z i + 7x j + 9y k). curl(6z i + 7x j+ 9y k) = ( i Di +( i )j…

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Q: (a) / Which of the following integrals is equal to -2+ In 2? X - 4 dx (a) 4- I dx (b) 2 - 4 da (c),…

A: To find which of the given integrals has given value

Q: When the eigenvalues of a b A = 0 d are 2, = 0 and 2, = 2, what are the possible values of a and d?…

A: When the eigen values of A=ab0dare λ1=0, and λ2=2, then to determine the possible values of a and d.…

Q: 2x (x- 3)2 .

A: Given: ∫2xx-32dx

Q: A proton traveling at 31.0° with respect to the direction of a magnetic field of strength 3.23 mT…

A: This question can be easily calculated by applying the concept of motion of particle in a magnetic…

Q: Find the divergence of the vector field F. F(x, Y, z) = In( 9x²+ 8y² )i + 72xyj + In(8y² + 7z? )«…

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Q: 1. Find all relative extrema and saddle points of the functon Use econd Partials Test where appli…

A: In given problem we have to find out relative minimum of given function for which first we find out…

Q: Find the sum of the following power series: 3 3.7 1+7** 4-8 3.7.11 3.7.11.15 + 4.8. 12 4.8. 12• 16…

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Q: Use the formula k(t) |r(t) × r"(t)|| x r" (t)|| to find «(t). ||r(t)||° r(t) = ti+ t5j «(t)

A: To find k(t).

Q: Question 3 Find the first derivative of the function below: f(x) = (cos(2z -7))sin(z+1) Upload…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 12x) dx Cos In x +…

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Q: Answer the following questions for the function f(x) = a/a? defined on the interval -4 < x < 5. x+16…

A: We need to find concavity and inflection points.

Q: bounded by the graph of the function and the x-axis over the given interval. (Round your answer to…

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Q: Evaluate the integral / (4x + 12y)dx + (15x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

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Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

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Q: Differentiate the following function y = e log(4") You may use Insert -> Equation to help you input…

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Q: Find div F and curl F if F(x, y, z) = x°i – 6j + yzk. - div F= curl F=

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Q: y = 9 - t

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Q: 1. The study of integrals in calculus is motivated by the problem of calculating (a) the slope of a…

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Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: Use Lagrange multipliers to find the extreme values of the function f(x, y, z) = x² +y? + z2 subject…

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Q: dx 2.) S 4+ x2

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Q: Which of the following is an antiderivative of f(x) = sin x cos x? %3D (a) sin²x (b) cos² ¤ sin 2x…

A: We can find the answer as below.

Q: Integral

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Q: ind [r(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = ti + 5t2j + t³k, u(t) = tk (a)…

A: Solving

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 3…

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Q: 4. Given that sin 0 =- and let 0 be in second quadrant. 3 7 Find the values for all six…

A: A detailed solution is given below

Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: Using Euler's Method we have  xn = xn-1 + h  yn = yn-1 + h . f(xn-1, yn-1)  In the given question we…

Q: 3x2+14x+13 x+4

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Q: Find the derivative, dy/dx: y = x² In x3 ý =- 2 1-4 ln x x³ In? x 3. ý = -2 In x – 2x | y = --(- 3…

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Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

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Q: 21 Given 3x7 +8x5 - , determine, y" O 630x4 + 480x² + 126 5x4 O 840x3 + 360x 504 - 504 O 2520x3 +…

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Q: 2 X+ 9x + 2 x3 +2x? -x - 2 dx

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: Find curl(7z i+ 8x j + 5y k). curl(7z i+ 8x j+ 5y k) = (i )i + ( i )j +( i )k

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. P…

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