dx secx + 1 Transforming - -z² A 1+z² B z²+z 1-z² 1+z² Ⓒ 1- D √ -dz -dz -dz - 2z² 1+z² -dz using miscellaneous substitution will yield to

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

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Q: By using substitution of x-e' and t = ln(x), find the general solution of the differential equation.

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Q: 3x² dx

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

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Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

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Q: Find 2 numbers whose sum is 23 and whose product is a maximum.

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Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: 12

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Q: Which point is the center of the circle * 4x² + 4y² = 4y - 8x + 5? (-1,-/-) (1,-1) 2 2 Option 1…

A: This question is based on general equation of circle.

Q: Consider the following system. dx = -9x + 4y dt dy 5 -- +2y dt Find the eigenvalues of the…

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Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: Solve the following differential equation with initial value = 6x² 2y+cos y y(0) = 0 b) x²y + xy = 1…

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Q: (2x³ + 5x-4) dx

A: Solved below.

Q: 3) Evaluate for ln(x + 1)dx x

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Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

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Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

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Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: 5. y² = У X x-1

A: Solution is here

Q: What is the slope of the line passing through the points M (m,O) and N (n.0) with m #n? O 1 Oo m-n…

A: slope=? M(m,0) and N(n,0) M(x1,y1) and N(x2,y2)

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

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Q: Give the domain and range. Then, use the graph to find (a) f(-2), (b) f(0), (c) f (9) 1 (2) Ay Q 40…

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Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: 2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and…

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Q: Convert each equation from rectangular to polar form. 5) (x-1)² + (y + 1)² = 2 6) x = y²

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

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: follow the procedure given below.

Q: alculate the amplitude and period of the function: f(x) = 3 sin(a) - 1 O Amplitude: 1, period: 2.…

A: Given query is to find the amplitude and the period of the function.

Q: f(x) = 4x²8x +3 x ² + x - 12 2

A: Given.

Q: f(x): = Opción 1 5x² - 8x + 15 3x² + 6x 12 y Opción 3 || సా || I 5/3 3 5 Opción 2 Y Y Opción 4 ||…

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Q: f(x) = -(x − 1)² +4 Use the equation of the function to find each characteristic of the function.…

A: Given:        fx=-x-12+4 y-intercept:      To get y-intercept put x=0       y=-0-12+4…

Q: S x cos √x² +4 V √x² + 4 dx

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Q: dx Consider the integral S (x - 2)³/21 (a) Why is this an improper integral? (b) Determine if the…

A: ∫ 241x-232dx

Q: 2 2) x² + y² - 16x + 18y + 96 = U 0 4) x² + y² + 28x + 28y +376 = 0 2 6) x² + y² - 16x-20y+128 = 0 0…

A: Solution is here

Q: 21) Write a function that has an infinite discontinuity at x = 100. 22) Write a function that is…

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Q: Find the area of the region bounded by x²y = 1, y = x and y = 4.

A: To find the area of the region bounded by x2y=1, y=x and x=4.

Q: I5 = 2 -3 x 0(x - 1)dx

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Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

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Q: Find the domain of the following function. 9 f(x)=- 2 36-x The domain is (Type your answer in…

A: Use the definition of domain of function

Q: The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Given

Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: dy Assuming - 9x3 + 7y2 – 2xy = 0 defines y as a differentiable function of x, use the theorem dx =…

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Q: Evaluate the double integral: S²² (3x² +9y²) dxdy 0

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Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

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Q: 2.) (2x + 3y - 1)dx- 4(x + 1)dy = 0

A: We have to solve given differential equation.

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

A: