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Q: Find curl (3z i+ 4x j+ 5y k). curl(3z i+ 4x j + 5y k) = ( i )i + (i )j+( i )k

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Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

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Q: dy tay +x?

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Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

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Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: 3. S- dx 1-sin'x

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Q: 8. Evaluate the double integral ry=2x L3) dydz. x=1

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Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: Q5) Find the integration by using (by part method): S e3X sin X dX

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Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

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Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

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Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 RY convergent or divergent.

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: Find the volume between the cone y = Vx² + z² and the sphere x2 + y² + z² = 25. volume =

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Q: Find div F and curl F if F(c, y, z) = 9e®Y i – 8 cos yj+ 4 sin? z k. div F= 9 y eY + 8 sin(y)+4…

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Q: S 2y(yª – 4)¯³ dy

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Q: り (2xy+y?) dx - 2x? dy = o 2) Yy dx - (メ+ 2y)? dy -0

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Q: Consider the function f(t) = 6 sec (t) – 6t°. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

A: We need to find radius and interval of convergence.

Q: Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall…

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Q: QIN Evaulate : f v2 + cos4t sin4t dt

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Q: Evaluate the definite integral. i +e´j+tk )dt O e 7 – 1 e17 - (e-' – 1) + - (e~) - 1) j + k 17 O el7…

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Q: S tan -1x dx

A: Solution is done in step 2

Q: d d Calculate ri(t) · r2(t)] and dt x r2(t)] first by differentiating dt the product directly and…

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Q: A chain saw requires 2 hours of assembly and a wood chipper 5 hours. A maximum of 30 hours of…

A: We have to find the number of chain saws X and the wood chippers Y to maximize the profit P(X,…

Q: Solve the following problems. 2. 2x°cos 5y+ x tan5y dy=0

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Q: Find both first partial derivatives. z = 10y² Vx Oz dz %3D %3D

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Q: Solve tan(x)=5in the interval osxs360°,giving your solutions to 2 decimal places

A: Given,  tanx=5 x=tan-15 x=78.69°

Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

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Q: C. 5 3 B. A

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Q: J4-yズ ニo dy

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Q: Find f, and fy! and evaluate each at the given point. xy f(x, y) = (7, –7) X - y fy(x, y) %D f,(7,…

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Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 3yz²k; (2,…

A: This question is based on divergence of vector.

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F)

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Q: Determine the vector field of F. F(1, y) = 9i – 3j

A: kindly attached following graph.

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following…

A: Solution is given below:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4.x + 2y + z subject to æ + y…

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Q: Find the conservative vector field for the potential function by finding its gradient. g(r, y, :) +

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Q: Find f andf, and evaluate each at the given point. y' f(x, y) (6, -6) = arctan f,(6, -6) = (6, -6) =

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Q: A certain substitution gives S sin³ x cos" x dx = S(u7 – u5) du. What is n?

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Q: y = Vx + 3 from x=1 to x=4

A: We find the area under given curve and bounded by axis and given lines x=1 & x=4 using definite…

Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: X+3 Q4) Find the integration by using: J: dx 2x3-8X

A: This question is based on indefinite integral.

Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vik NOTE: Enter your answer in terms of i, j, and k.…

A: This is a problem related to derivative of the function. Based on the general formula and concepts…

Q: tan 0 d 30. dO sec² y dy

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Q: Evaluate the line integral, where C is the given curve. xy ds, C: x = t2, y = 2t, 0sts 3

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Q: x-6x-4 dx x+2

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Q: Condense the expression to the logarithm of a single quantity. 4 log (x) log4(y) - 3 log4(z)

A: Given query is to compress the logarithmic expression.

Q: Find r'(t). r(t) = (tan(3t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k. r'(t)

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