dy 1. -2x tan y, y(0) = 7/2. dx

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

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Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

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Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

Q: y"+y'=t ; where y(0)=1 and y'(0)=-2||

A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

Q: Find the volume generated by revolving the area bounded by y =r,r=2, y = 0 about the line z = 2.…

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Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: Evaluate the integral 5*dx |(Type an exact answer.)

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Q: The limit lim x · In cos エ→0 is an indeterminate form of type 0 ·o. Select one: O True O False

A: LetL=limx→∞ xlncos1xL=∞.ln(cos(1∞))L=∞.ln(cos(0))L=∞.ln(1))L=∞.0Which is undefine

Q: y-1 3. Solve the initial value problem of=4 y(-1) = 0 dx

A: dy/dx = (y-1)/(x+3) dy/(y-1) = dx/(x+3) ln(y-1) = ln(x+3) + lnc here we find c using initial value x…

Q: Enumerate and explain the Four Second Partial Derivatives of the Partial Derivative of z with…

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Q: 1 dA; R = {(x, y) : r² + y² s 4, r 2 0, y 2 0}. /16- r2 – y?

A: Using polar coordinates, integration is evaluated.

Q: Show all the necessary figures and solutions to each of the following problems. 1. Find the area of…

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Q: 2 v2x-x2 XY xydydx 0 0

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Q: -9dx xVx2-9

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

Q: 4 Evaluate f². dx 4-x*

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Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.

Q: (2r+1)dr 5. S r2+2r+1 3r+5

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Q: Write a in the form a = a-T+a,N at the given value of t without finding Tand N. r(t) = (3e'cos t)i+…

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Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: Please Attach the Venn Diagram of the given problem including the complete solutions to answer the…

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Q: in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on…

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Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: csc x (cos? x – 1) dx

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Q: and ue. Find the velocity and acceleration vectors in terms of u, r= 5 sint and 0 = 8t

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: Here, we want the two real numbers, suppose x and y, such that  x+y=46 And, the produce xy is…

Q: A power representation of the function f(x) = for-1 < x < 1 is %3D 1-x Select one: 9n 9n 9n n=0 O…

A: This question can be solved using the concept of power representation of given function.

Q: The two paraboloids z = x2 + y? – 1 and z =1 – x2 - y? meet in xy-plane along the circle x2 + y = 1.…

A: Topic: Representation of volume as triple integral

Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

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Q: y = x² + 1 y = 2r- 2

A: Here, from the given figure, the area bounded by the given curves are: A=∫-12∫2x-2x2+1dy dx

Q: 27T 5. = y² and x + y = 2 is revolved about y = 1. (Answer: c. u.)

A: Solution is given below:

Q: A power representation of the function f(x) = for-1 < x <1 is 1-x Select one: 9n 9n 9n O none of…

A: The given function f(x)=11-x9 for -1&lt;x&lt;1

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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Q: Cassandra has the following information about f(x) and g(x): f(æ) = x →4 - 4, lim g(x) = 6. x →4 lim…

A: This is a problem related to limit. Based on the limit properties we will answer the question. As…

Q: recelve a star on the Hollywood Walk of Fame. 8. Kobe Bryant is a superstar player of Chicago Bulls.…

A: Negation

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: ** Solve the following problem by setting up a linear system (remember to describe your variables)…

A: T=touchdown    6 pointsF=Field goals   3 pointsE= Extra points  1…

Q: Evaluate dx -31 x a,

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Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Find dy/dx of 6x² – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 4/3 On the circle x + y? = r²,…

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Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

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Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

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Q: 16 3. The value of is: D) A)

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Q: Jが 10x° - 24メクt9 dx

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option