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Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. dx +C

A: Topic = Integration

Q: Next Ques 47 If A= -1 find AB -42-5 2-2 47 AB= (Simplity your answer) -1 -42 -5

A: Solve the matrix

Q: Find the first and second derivative 1. f(x) =x+6x-7x 2. f()=r-7 +2r 3. F(1)=(1+ 7r)

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Q: Find the equation of the line tangent to the graph of y = arctan (sinh(r)) at z = 0. %3!

A: Given: y=arctan(sinh(x)) Since, ddxtan-1fx = 11+fx2f'x Therefore, dydx=11+sinh2xcoshx

Q: Let S be the part of the plane 2x + 2y + z = 4 which lies in the first octant, oriented upward. Use ...

A: Given  plane  2x+2y+z=4

Q: Нотogeneous Differential Equation x'ydx+(x* + x²y² + y* )dy = 0

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Q: Solve the initial value problem 1 3 -3 -2 у, у(0) - 3 y' = -2 6 -2 | -1 1

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Q: Given the curve with parametric equations, find the slope and the equation of the tangent line at th...

A: Here we have to find the Slope of tangent line at indicated points . We are given parametric Equatio...

Q: x + 10 32 22. Solve: = 0. Show work. x + 2 x2 – 4

A: We have to find out the value of x for the given function

Q: 1. If the terminal side of an angle 0 is in the second quadrant, and sin 0 = then its reference angl...

A: We will use signs of trigonometric ratios in different quadrants to answer this.

Q: (In 3) - 3" + sinh z - find a Lets compute a derivative in reverse! Given the function S(2) function...

A: Solve by integration

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat...

A: Solution...

Q: Compute the derivative of y = In ( VI-2 conh z - (z² + 2) -(2- 1)

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Q: Evaluate the integral 2x (x2 + 3)° dx using the substitution 6 u = x + 3. | 2.x (x² + 3)° dx +C II

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Q: 3. Find the general solution of the given differential equation (x2 – y?e/x)dx + (x² + xy)e/*dy = 0 ...

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Q: 1-tan20 %3D 1+tan20 =1-2sin20 4.

A: As per bartleby guidelines, I can answer only one question. So, please repost the 5th question and w...

Q: use the mode 4-Pe or4- (1:). where A is the future value of P dollars Invested at interest rate r co...

A: Substitute the given values and simplify using logarithm. 

Q: D. Limits to lnfinity and Infinite Limits 46. lim- 2x-3 47. lim -4 3x-5x +7 8+2x-5x' 48. lim x-2 49....

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Q: Separation of Variable 1. (cos' x- sin x+ sin x \dx + sin x sin y(1– sin x)dy = 0

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Q: 26. y=+x+1 *+x+1 27. y=x+x+x+x* 28. y= ax+bx+c -1

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Q: B. Find the domain of each function. 1. f(x)=1+x 2. f(x) =1-V 3. h(x) = x-4 4. F(x) = x-1 5. G(x) = ...

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Q: B. Given :) Find the points of intersection i1.) Sketch the graph with table li.) Find the area outs...

A: The solution of the problem is given in the next steps.

Q: 19. Find the exact solutions and simplify as much as possible: 2x² + 15 = 14x. Show work.

A: The given equation is  2x2+15=14x

Q: What are the order and degree of the differential equation representing the family of parabolas y2 =...

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Q: This exercise involves a difference quotient for an exponential function. If f(x) = 2X, show that fx...

A: GIVEN: f(x) = 2x

Q: a/4 32. The value of xcos(x') dx correct to three decimal places ( assuming that p = 3.14 ) is

A:

Q: 1. Prove that L{cos(at)} cos(at)dt integrating by parts twice and the evaluation of the improper int...

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Q: TX dx

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Q: Tutorial Exercise Use Lagrange multipliers to find the indicated extrema, assuming that x and y are ...

A: Step by step solve using concept of Lagrange Multiplies. 

Q: Tell if the function is one-to-one or not. Prove your answer (a) y = 3x² – 5 (b) f(x) = 2x³ + 4 (c) ...

A: Topic = Function If the graph of a function f is known, it is easy to determine if the function is o...

Q: d.x Vre(26 /a) +C

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Q: Integrating factor of the differential equation y(2x-y+1) dx+x(3x-4y+3) dy=0 is

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Q: III. Subtract the given number system. Show your solutions. 1. 24328 - 13458 2. 325410 – 215610 3. 1...

A: A2B216-2CB16

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx +C

A:

Q: Find the particular solution dy/dt+y/t = 3t, y(2)=8

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Q: 20. Let f(x) = 3x² – 15 and g(x)=x- 5. (a) Find the composite function (f og)(x)and simplify. Show w...

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Q: x? + y F(x, y) = is a homogeneous function of degree x - y

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Q: find the area of the triangle formed by the point (8.-5).(-2.-7) and (5.1) by using Herones formula.

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Q: Find the area bounded by the following curves. .5 y =x°, x= - 2, x= 1, y = 0 The area is ? 7. (Simpl...

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Q: FM Corporation is a company that manufactures face masks. For every r thousand pieces of face mask s...

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Q: Which of the following is true for the BVP y" + 16y = 0, y(0) = 1, y () - = 5 with Yg = c1 cos(4x) +...

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Q: Solve the second order differential equation ÿ + 3y = x3 + sin x sinx +글stnx +sinx D: y = c,cosv3x +...

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 4. (4x + 3y2)dx + 2xydy = 0 is given. Find an integrating factor of this equation in the form of 2 =...

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Q: 4 – 8x4 Find an antiderivative for the function x2 Antiderivative =

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Q: Non-exact Differential Equations 4. (x²y² + 2.xy² – x° )kdy + (xy' In y + 3y' + 2x*ykdx = 0

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Q: Coefficient Linear in Two Variables 2. (x-3y-7)kdx – (2x – 4y-8)dy=0

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Q: Use integration by parts to prove the following reduction formula for integrals, where n is a positi...

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Q: A point on a curve is said to be an extremum if it is a local minimum or a lo maximum. The number of...

A: Given that: f(x)=3x4-16x3+4x2+37

Q: A (0,0) Which statement correctly describes the lines shown on the graph? A) All three lines represe...

A: Proportional relationships in mathematics occur when two variables always change by the same multipl...

Q: dr Find

A: