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Q: S 2y(yª – 4)¯³ dy

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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: 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: Q5) Find the integration by using (by part method): Se3x sin X dX

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Q: Evaluate the following integrals. 2 (a) S(csce)(1 + sin´e + sine cot + sin¯0 + sin0 cot¯0 ´e)de

A: Solution is given below:

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

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Q: Let y=f(x) be a solution of the first order linear differential equation y'=y-10x² such that f(0)…

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Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: Find div F and curl F if F(x, y, z) = 16y°z³i – 9x°z°j – 7xy'k. - - div F= curl F=

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Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) : .2 x + y (x, y) # (1, – 1) x + y…

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Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

A: Please refer to the image below

Q: The Intermediate Value Theorem can be used to prove that the equation x2 – x – 6 = 0 has at least…

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

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Q: d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by…

A: Given that     r1(t) = cos(t)i + sin(t)j + 8tk    r2(t) = 7i + tk

Q: dx x?(4x++9)Z

A: Integration are simplyfied..

Q: 2- Sinx-y cos?x =.

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Q: Select the three reasons for the non-existence of lim,>c f (x). lim, c f (x) = 5 x→c lim, »c- f (x)…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: QI: Find dyldx for the following functions:- (3) y = (tan x)tnz+ t (4) y = sin-(x² +x) + 5"

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Q: answer

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Q: 4. Consider the matrix А 5 2 One of the eigenvectors of A is given by [1 -1]'. Find the eigenvalues…

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Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

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Q: Find curl (3z i+ 4xj+9yk). curl(3zi+ 4xj+ 9yk) = ( i )i + ( i j+( i %3D

A: We have to find the curl of the given vector.

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: You are given a task to find a series expansion about x = 0 for a solution to (x – 1)y" – a²y' + y =…

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Q: Cives とz f(xy)= J36-9メ-す i) Find domajn and Ram ge Foy the fuclien

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

A: Here, the given vector function is: r(t)=(tan-1(11t))i+tcos(t)j-tk

Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

A: Given problem:-

Q: dy then dx If y = In(x/x² + 1), 2x2 + 1 C) x/x² + 1 2a2 +1 D) x(x² + 1) x² + x +1 E) x(x² + 1) 1 A)…

A: Find the derivative

Q: Condense the expression to the logarithm of a single quantity. [9 In(x + 4) + In(x) – In(xº – 8)]

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Q: x-1 dx (x+1)5(x-3)5

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Q: Describe the graph of the equation. r =-18i+(1-j+:k O Itisa parabola in the plane: = -18, with…

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Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

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: If the tan x 1.5 then what are equivalent expressions to cot x ? Select all that apply. 1 1.5 3 1…

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Q: Given f(r, y) = sin(r + y) where x = s't³, y = 4s - 3t. Find f.(z(s, t), y(s, t)) = fi(z(s, t), y(s,…

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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: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: Use the finite difference method to solve the system of equation given by: y'"' + 2y" + y' + y = x²…

A: Given :y'''+2y''+y'+y=x2                                   (i)y(0)=0.2, y(1)=0.8 & y(2)=0.2We…

Q: 1. 3 de

A: Given integral,         ∫3 dx

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

A: We will find the curl.

Q: sin() cos( 2

A: To Find :   ∫sinx2cos3x2dx   Note: 2sinAcosB=sin(A+B)+sin(A-B)

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

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Q: 2. A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it…

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Q: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

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Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

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Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

Q: - sin² ydy 6. 4 tan" y

A: As per the guidelines I can solve only first question

Q: Use the formula r(t) = |r(t) × r"(t)|l| ||r(t)||³ to find k(t). %3D r(t) = t’i + t3j K(t)

A: r(t)=t^2i+t^(13)j r'(t)=d(t^2i+t^(13)j)dt=2ti+13t^12j r''(t)=d(r'(t))dt=2(1)i+13×(12t^11)j…