5. S Evaluate the integral, if it exists. du √u - 2u² Ա

Q: C) Determine the area of the shaded region about the x-axis.

A:

Q: Consider a function f whose domain is the interval [a, b]. Show that if |f(x) − f(y)| ≤ (x − y)²,…

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: The exponent in the exponential form is the value of the logarithm. (A) True B) False

A: Topic:- algebra

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

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Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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Q: (b) Determine the rate of change of area A, of a circle with respect to its circumference C.

A: We have to find the rate of change.

Q: Estimate the value of 82^(1/4)

A:

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: Question 5 Which of the following is not true? A None of the given choices ℗ √ ² in(x²) dx = I'm √…

A: The objective is to find which option is not true.

Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

A: Simpsons rule

Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

A:

Q: Evaluate the iterated integral by converting to polar coordinates. 2x - x² [²√²-2² 9√ x² + y² dy dx…

A:

Q: Let R(t) = (t²,1 − t², t) and r(t) = cost. Determine the parametric equations of the line tangent to…

A:

Q: 3. f(x)=(5x² - 4x³ )³(secx + tanx)³

A: Given; f(x)=(5x2-4x3)3(secx+tanx)3.

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: A critical point is a point where the derivative of the function is 0 or does not exist. At critical…

Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t). dz 4cos4t…

A:

Q: 1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2.…

A: We can find the values of x and y. Note :As per our Guidelines , we can solve first question…

Q: (3x² + 5x-2) dx

A:

Q: Question 1 A body cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take…

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Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: .b if f is continuous on [a,b], and f(x) 20 then √VF(x) dx = f(x) dx T True F False

A: Topic: application of integration

Q: = In ( ²² +2²³v-_-²³ ) · then x +y is da by x-y If the function u = ln

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 3. Lim In(x+1)3 X48 6x 3

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Q: 6. Determine the area of the region bounded by x = −y²+ 10 and x = (y 2)²

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Q: ? Question af Use Mathematica to find the other partial derivative for the function dx f(x, y) = x²…

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Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

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Q: 1 -4 The reverse order of SO SAY ex² dxdy is equal to e-1 8e None of them O

A:

Q: Expand the quotient by partial fractions. x²+3 x² - 13x+42 ²+3 x²-13x+42 (Simplify your answer.)

A: Given :x2+3x2-13x+42

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).

Q: (√t-9) dt

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x+0+ 5

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! General solution of (x²y³. - 1+9x²) dx + x³y²dy = 0

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Q: 10x-2p-3x-1p

A:

Q: (a) Verify that tanh P-tanh Q 1-tanh P tanh ọ tanh( P – Q)

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Q: The length of a rectangle is given by 4t - 3 and its height is √27, where t is time in seconds and…

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to solve  part 1, 2 and 3.

Q: Question 2 Given a differential equation as d²y dy 2². - -3x- +3y=0. dx² dx By using substitution of…

A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A:

Q: Solve the following problems. Enclose final answer. II. 7.Find of z = 2x35xy? ㅋ

A: Let's find partial derivative of given function.  Small mistake given in question there were dxdy…

Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Find the general solution of…

A: Let's solve given diffrential equation.

Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: when the first nine terms of an arithmetic sequence is added. its sum is 72. what is the value of…

A: The fifth term will be ,a5=a+4d=8

Q: The Minimum point of y = 3x+6

A: Given problem:- The minimum point of y=x3/(3x+6)   method:- We use first derivative test  When at…

Q: nu = ln (2²+2²-²) then x + you is x³+x²y_y²³ Su Su da

A: Homogeneous function

Q: The Critical Point of y = xe*

A:

Q: f(z) = zz° +z-4); [-1,2]

A: