Consider the following. '6 dt Jo 36 + t² Let t = 6 tan(0) and determine the following.

Q: Change the Cartesian integral to polar coordinate dy dx 171-72 حول من كا الا بولير -1 0

A: ∫-11∫01-x2dydxIn polar co-ordinates, Let  x = r cosθ    and    y= r sinθThen , r2 = x2+y2     and…

Q: Find the direction angle of v for the following vector. v=3i-8j What is the direction angle of v?

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Q: 3

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Given problem:- convert the following differential equation into a Perfect equation and then Find…

Q: Solve simultaneously x (t) + x' (t) − y (t) + z' (t) = 4 y' (t) + z(t) = 0 2x(t)+y(t)+z(t)=0 where x…

A: Given the system of differential equations x(t)+x'(t)-y(t)+z'(t) = 4  ......(1) y'(t)+z(t) = 0…

Q: solution

A: Please refer to the image below

Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х u(x,c) =4е 2 (зу-2х)12 ans3- и(x,…

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Q: Evaluate the double integral over the rectangular region J 6(x sin(y) – y sin(x)) dA; R = = {(x, y):…

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Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the hypotenuse side is equal to?

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Q: Find the area of the surface generated by revolving about x-axis the part of the curve y = sin x,…

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Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: Analyze and sketch:  x- and y-intercepts  Critical Numbers  Table for increase/decrease + local…

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Q: Given cost and price (demand) functions C(q) = 110q+40,700 and p(q) = 2q +870, what is the marginal…

A: Here we have to find the marginal revenue.

Q: As shown in the required readings or videos use Euler's Method with a step size of h = .1 to…

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Q: Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 301…

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Q: B = {x ER: x is a counting number} = {1,2,3,...} C = {x ER: x = 2n + 1 where n is a nonnegative…

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Q: 1 x√x²+3 (A) Use trigonometric substitution to find f

A: Use  trigonometric substitution to solve the integral.

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: integral

A: Please refer to the image below

Q: (2xy-sinx) dx + (x² - cosy) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Evaluate the double integral: L Loddy. dr dy. y²/3 x² +1 Hint: Change the order of integration to dy…

A: We need to evaluate integral.

Q: Let f be defined at all real values of x and x = -3 is one of its critical numbers. If f" (x) = 2x +…

A: Given, f is defined at all real values of x. x=-3 is one of the critical points. f"(x)=2x+1

Q: Find the antiderivative of f(x) = point (0,3). O F(x) = tan¹x +1 O F(x) = 2 tan ¹x +1 -1 O F(x) =…

A: Given: fx=24x2+1 and x,Fx=0,3   As we know the expression for the antiderivative; Fx=∫fxdx And…

Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: The set S = [1,3] is not./compact. Which open cover of S 9.) {[1,3 + ¼/n) I nεN } b.) { C1-1/n,…

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Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

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Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: Evaluate y' y = cosh²12x +sinh²6x

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Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given indefinite integral is: I=∫dx4x+3   ...1   As we know the common integral. ∫1xdx=lnx+C

Q: 1. Prove the linearity principle (the homogeneous case). That is, if yn (t) is a solution of the…

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Q: □ classify the following PDES :- 827 82 827 дхг -2 +2 =x+3y буду дуг 2 2 X ох Ихх - 2ху Иху +у Иуу…

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Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = r (a)…

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Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: EXAMPLE 1 lim x+1 X-1 SOLUTION Since lim 2 In(x) = 2 In(1) = = x → 1 we can apply l'Hospital's Rule:…

A: Here we have to find the limit of the function.

Q: Solve the following using the inverse matrix method: (Show your solution) 13 3x + 2y 5 x + 4y 5x + y…

A: As per bartleby guidelines we only give first question answers.

Q: Find the area under/bounded by the given curve. Show the graph (you can use any graphing software,…

A: To find the area under the given curve.

Q: eight (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t²…

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Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Solution of given question is written in below steps.

Q: x²-5y²-3x-y +22=0 (y-2)(x-y-2) = 0

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Q: Solve this using the given-required-solution format. Show a complete calculation without using

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Q: Consider the integral x³+1 x³(x²+1) -dx What is the correct partial fractio OA Bx + C

A: We have to choose the correct option from the given options according to the given information

Q: What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a point

A: The function of co is given by: y=Acos(Bx)+C where A is amplitude, B is the period and C is the…

Q: solve by differential √226

A: Let's find value by using differential.

Q: Michael was sketching ngl the graph of f(x). He lost part of his notes including the equation of the…

A: Michael was sketching the graph of fx.Partial information is given.Domain of fx: ℝx-intercept are at…

Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: Consider the basis S - (V₁, V₂) for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 — 11x)y², y (0) = 9…

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