sin (2t + 1) - dt cos? (2t + 1) 31.

Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: Directions: Given the integrals below, determine the u and du then find the antiderivative of the…

A:

Q: Given f (x,y) =4e** In y with x = In(u cos t) and y = u sin t. The correct value of dz evaluated at…

A: Given fx, y=4e3x ln y, with x=lnu cos t, and y=u sin t.To determine the correct value of ∂z∂u…

Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy = 0, we let the substitution dw =

A: the differential equation 4(3x+y-2)dx-(3x + y)dy=0, we let the substitution dw=??

Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

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Q: 2 Integrating factors found by inspection.: fr -y +1}tr=x{x² - y² -1y=0

A: Given

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 e" (2cos21+ sin2r) 2 A

A: I am attaching image so that you understand each and every step.

Q: 1) y=/7x-4 2) у 3 =x-3 3) y = x2-8x+6

A:

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

A:

Q: 4. Determine the general equation of the plane containing the points P(1, –4, -5), Q(2,0, 13) and…

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Q: x²– y² Consider the function f (x,y) = Which ONE of the following statements x²+ y² is TRUE? f (x,y)…

A:

Q: 7 then d'y 21 True or False: If Y = 5x° + . 100x3 x!/2 dx? 4x 2 True False

A: Given problem:-

Q: 1. Using properties of definite integrals, given f(x)dx = 10 and | g (x)dx = – 2, evaluate 2 6. a)…

A: (a)∫26-f(x)+g(x) dx  = -∫26f(x) dx+∫26g(x) dx = -10 + (-2) =-10-2=-12∫26[-f(x)+g(x)] dx =-12

Q: x dx 13. S (6х-x2-5)2

A:

Q: I only need C & D. I've already done a & b

A: c) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

Q: Problem 2 For each of the following, indicate the proper equation for work: Constant Pressure…

A: This is a problem related to work done by the process. Based on the different constant value of…

Q: tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D

A:

Q: Integrating factors found by inspection.: y(x² – y² +1}dx– x(x² – y² – 1\dy = 0

A:

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

A:

Q: Given the differential equation y' = &r + y2 Find the Implicit derivative " dy/dx" of the…

A:

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to × from the parametric…

A: Question 4,Given,            x=1-t , y=t3-3tTo find : Find the second derivative of y with respect…

Q: 1. Three students were given the following problem: Unfortunately, we cannot make out the actual…

A: Three students were given the following problem.∫? dx Unfortunately, we cannot make out the actual…

Q: Given that Vf (3,-3) = 7i- 6j, find the directional derivative of the functionf at the point (3,-3)…

A: Given query is to find the direction derivative.

Q: What is the formula for integrating sin 46 cos 20d0 ? (sin 60 + sin 20) do O S(cos 60 – cos 20) do -…

A:

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: Find the Laplace Transform of the following: 1. g(t)=t cos7t

A:

Q: dt if t = (6r³ +3r² )* and w=| dw =(r² + 2r – 5)* Determine 9r* (2r +1)(3r +1) (r+1)(r² +2r – 5) b.…

A:

Q: 1 hence find u Given that y =u – 5u' and x dx 2(1-15u") a. 3 u 2(15u 1) Ob. 3 u (15u? -1) 2 u'…

A: The objective of the question is evaluate the derivative and choose the correct option.

Q: 3. Evaluate the following series: 1 а. с. 4n n=1 11 1+ 2" b. d. 3n n=0 n=1

A: To find the sum of the given infinite series.

Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a3 + 6xy? – 3 – 158iad maximum and…

A: The given function is;  f(x)=2x3+6xy2-3y3-150x.

Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

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Q: Evaluate the double integral using polar coordinates. R is the region in the first quadrant bounded…

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Q: 15. What is the general solution of the exact differential equation (x + siny – cosy)dx + x(siny +…

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Q: 2. Computing Derivatives; Compute each derivative using the derivative rules: d (a) (cos-(1+ 2*) +…

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Q: dx Evaluate the integral improper integral (2x – 1)3 00 A) 1/6 B) 1/8 1/4 (D) 1/9

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Q: Differentiate the following without expanding 3x2-4 You may use the Insert -> Equation function to…

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Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: Evaluate the line integral. 17y dx + 16z dy +xdz, r(t) = (2+r',2,P) for 0 <t<1 (Give an exact…

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Q: Given that z=5cos ( 3x+ 3ct) +e*+ª. Which ONE of the following statements is TRUE? O A. d2z dx2 O B.…

A:

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A:

Q: O »(x) = Given the differential equation y' = 8x + 4 y' and y (0) = 1 and its next few implicit…

A:

Q: 12 Given that sin(0) = -3, and 0 is in Quadrant III, what is sin(20)? 13' Provide your answer below:…

A:

Q: tan zdr

A:

Q: The radius of convergence of the series 2 (n!)2 (x– 2) ² is equal to n=1 3" (2n)!

A: Given series ∑n=1∞   (n!)23n (2n)!(x-2)2

Q: Let f(x) =x²-3X²- 24 x +26 a) the open intervals on which flx) is incheas in g aN the open intervals…

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Q: Let A = (1,0, 2) and B= (6, -2, 3). Solve for projĄB. 2.

A: A= &lt;1,0,2&gt; B= &lt;6,-2,3&gt; projAB = (A*B)A/[A]2 [A]2 = (12+(0)2+(2)2)2 [A]2 = 5 A*B = 6+0+6…

Q: 8xー3x+x dx

A:

Q: Given that z=5cos ( 3x + 3ct) + e*+d. Which ONE of the following statements is TRUE? %3D OA. d2z dx2…

A: Here is the solution.

Q: . Linear equation of order one: dy-(x' - 2xy}dx=0

A: The given differential equation is linear differential equation.