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Q: establish each identity.

A: We have to prove the identity: tan2 θ cos2 θ+cot2 θ sin2 θ=1 We know the identities, tan θ=sin θcos ...

Q: Establish each identity.

A:

Q: (1+ log x) 1+logx* +(log x Evaluate: dx.

A:

Q: 5. The mean value of for 0 <IS is 1+4x² 16 В. Т 8 С. 4 D. 2

A: The mean value of a function f(x) in the interval (a,b) is  Mean value = 1/(b-a)  ∫ f(x) dx

Q: I'm not sure what to do here :(

A:

Q: What is the radius of curvature of a circle of radius 4?

A: R=4

Q: I need help on determining the 1 unit percent change please!

A: Consider the exponential function g(t) = 1.45(3.57)t We have to find 1 - unit percent change for g  ...

Q: dy by implicit differentiation. Find dr 6 + 4x = sin(xy?) dy Answer: dx

A: We have to find the derivative of given function by implicit differentiation. Please see the explana...

Q: Let f(x, y) = x³ + y3 – 9xy + 27, then (3,3) is saddle point. True False

A:

Q: ) sin(2x) cos(5x) dx Scot (x) csc (x) dx

A: Given: 1.∫sin(2x)cos(5x)dx 2.∫cot3(x)csc4(x)dx

Q: Calculate the derivative of y with respect to x, if a°y+5xy° = x+y. dy dx

A:

Q: please help

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Q: The volume of the solid generated by revolving the curve y = 2 x, between x =0 and x=3 about the x- ...

A:

Q: 3. The equation 25z² + y? – 100z –- 2y + 76 = 0 represents A. a parabola B. a circle C. an ellipse D...

A: Given, The equation of the curve  25x2+y2-100x-2y+76 = 0  We have to find the shape of the curve.   

Q: Lo arctan(x)dx

A:

Q: 2) Consider the function g(x) = x³ + 3x2 - 9x + 2 on the interval [-4,2]. Find all local extrema, an...

A:

Q: Solve a and b

A: Consider the given: When the cross section is square: Side of the square = 1−y13Area of the square,A...

Q: a Give the coordinates of any points of inflection b identify where the function is concave up or co...

A:

Q: 2xy Show that lim does not (x,y)→(0,0) x² + y² exist.

A: The limit function is limx,y→0,02xyx2+y2

Q: 34. The particular integral of the differential equation d’y dy dr? + 4y = e* is dr B Are D 2Are

A: Now we will find The particular integral (P.I) of of the following differential equation. 

Q: x + 3 Given f(x) = write an equation for the inverse X - 4 function.

A:

Q: Q1/ Find the solution of the following Differential Equation 2dx – e*dy = 0

A:

Q: Describe the way the slope of the graph on the right changes from left to right. For x - 2, which of...

A: Given ,   

Q: Find the limit of lim-

A: Solution: The objective is to find the value of the given limit

Q: Q6.Differentiate w.r.t'x 1-logr

A: we have to derivative

Q: sin: Q1-Solve by hospital rule lim COS I

A: limx→0sinxx-cosxx2

Q: Can you please help me answer this?

A: Use laplace transforms form

Q: cos?t 1. Find the derivative of f(t) :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Two particles move in the plane along lines, and each particle moves with a constant speed. Particle...

A: Given that particle A moves along line y=x,at time t=0 the point is at 0,0 and each second A's coord...

Q: Set up the integral for the arc lengthof the function,y=4/3x^3/2for 2≤x≤6if you integrate with respe...

A:

Q: 34. The general solution of the differential equation dI + 4r = 0, p and q being arbitrary constants...

A: We have to find the characteristic equation first.

Q: Let F(z) = f(/(x)) and G(z) = (F(z))" and suppose that (6) = 5, f(5) = 2, f'(5) = 13, f'(6) = 8 Find...

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Q: problem is attached! please and thank you!

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Q: = sin 3z where a and bare constants prm = a sin z + b cos æ = a sin 3z + b cos 3x = ax cos 3r = ar s...

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Q: Solve the system of equations by Gaussian elimination. X +2y + 4z 1) = 11 5y + 3z 19 %3D Z = 3

A: Given equation are:

Q: problem is attached! please and thank you!

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 9ry + 4ry...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

A:

Q: establish each identity.

A: 1-sinvcosv+cosv1-sinv=1-sinv2+cos2v1-sinvcosv=1-2sinv+sin2v+cos2v1-sinvcosv=1-2sinv+11-sinvcosv     ...

Q: problem is attached! please and thank you!

A:

Q: 223. Find the volume of the solid E that lies under the plane x + y + z = 9 and whose projection ont...

A: Here we have to find the volume of the solid E that lies under the plane x+y+z=9 and whose projectio...

Q: Help

A: Part(a):

Q: H.W 1-Find the domain for each function: (1) f (x,y)=Vy-x-2

A: Given,         fx,y=y-x-2

Q: Let  f(x, y) = sin(15x2 + 3y2) Calculate the quadratic approximation of f at the point (0,0)

A: Given that,  fx, y=sin15x2+3y2 The quadratic approximation of the function fx, y at the point x0, y0...

Q: problem is attached! Please review both attachments before answering please.  I need help with part ...

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Q: -xy اس3: أحسب lim (x,y)→(0,0) x²+y2

A:

Q: Starting with the graph of y=3x, write the equation of the graph that results from(a) shifting 2 uni...

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Q: Q2) find the value of each limit sint 1) lim(- 1+cost E+Cost

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Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8. %3D

A: From the given problem:   y=x2+3 &amp; y=4x+8       Now finding a point of intersection:   4x+8=x2+...

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8.

A: Given that: y=x2+3           .............(1)y=4x+8           .................(2)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.