Find the area of the region enclosed by the curves x=9y², x = 0, and y = 1.

Q: If y = √1 − x² sin¯¹x, prove that (1− x²) ¹ + xy = 1− x². dx

A: We can prove the given the result by differentiating the given function.

Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

A: Topic = Derivative 1) C 2) B 3) D

Q: Find x in the following equation. log 10 (x+1) - log 10 (x-1)=1 (Type a fraction or an integer.…

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Q: 8. Determine a vector equation for the plane with Cartesian equation: 2x -y + 3z-24 = 0

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = ·S dx (x - 1)².…

A: The integral is y=∫ 2x2-3x+2(x-1)2(x-2)dx

Q: In(y) = −3x² + ln(7)

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Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

A: Here we have to choose the correct option.

Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: The graph of y g'(x) is shown below. graph of g'(x) + (a) Give the x-coordinates of the critical…

A: We have to find critic point of the function and we have to check weather the function is local…

Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x-axis if x=0, x=/?

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Q: Problem 6 Use any method to find the inverse of the matrix A below: -2 1-67 A = 4 0 12 12 0 39 Pakis

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Q: 6. The diagram below shows a regular hexagon. For each vector expression, write a single vector that…

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Q: Q1): Find the point (x, y, z) that lines on the plane x + y + 2z = 4 that is near origin.

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Q: Express the repeating decimal as a fraction. 47134343343/100 0.4713 43 43 43...

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Q: Solve the initial-value problem y"+5y'+6y=0, y(0)=2, y'(0)=3

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Q: 4. In a random check on an assembly line, the probability of finding a defective item is 0.005.…

A: Please refer to the image below

Q: A horizontal trough is 1600 cm long and its ends are isosceles trapezoids with an altitude of 4 m, a…

A: I am attaching image so that you understand each and every step.

Q: Graph the rational function. -5x-15 f(x)= x²+2x-15 Start by drawing the vertical and horizontal…

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Q: 14. The Integral:√4-3x² a. cos²0.de dx, can be transformed into : b. 2f cose.de c. 2 f tano.de d. 4…

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Q: Given the matrices A [4] " the matrix X in the equation AX +5B = C. X = 5 and C 3 " solve for

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Q: Find the derivative of fx Fx =(6square root x -2) (4 square root x +7)

A: Concept: Differentiation of function: A function's differentiation is a way to visualize the rate of…

Q: 4. With the fact of 1² +2²+...+ n² = n(n+1)(2n + 1)/6, prove that n n n(n −1) ΣΣ(i-j)² 6 i=1 j=1…

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Q: 6. Find the derivative of y= 2x² (3x-4). A. 6x³ - 8x² B. 18x² - 16x C. 15x² - 6x D. 6x-4

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Q: Find the derivative of fx Fx=8x3 cot x

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Q: 5x 5 y-y-ey = e

A: Given problem:- Solve differential equation y'' -y' -2y=e5x

Q: Please find the gradient of f(x, y) = ln(x² + xy²) at (2, 1)

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: Estimate [²₁3 13 cos(x²) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4.…

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: O Evaluate the following integral by using Odd and Cros² 5 ( ¹ ) d

A: We will solve the problem

Q: # √² + y = 2 Y = 10 + 3X

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Q: 9. Determine the Cartesian equation of the plane that contains the intersecting lines: -2 y 2+3 x-2…

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Q: b) 42x + 4 = 6 (HINT: use substitution)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: A fair coin is flipped 5 times. What is the probability of: a. Getting HTHTH, in that order? b.…

A: According to our guidelines we are supposed to answer only the first three sub parts question if you…

Q: Evalvate 5x-12 X (x²+4) dx

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Q: Use GEOMETRY to compute the value of the definite integrals. Report EXACT answers - not decimal…

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Q: 0=yج - - لا

A: Follow the procedure given below.

Q: -1 3 -6 -4 -3 4 Let y = = V1 = 9 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

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Q: a) 2x+3y-z-2 x-2y+3z= 13 4x + y + 3z = 9

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1. Use the Chain Rule to find y = (u-2)³ and u = da in terms of x. 1 2x+1

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Q: find the area of the region bounded by the curve y = x^3 and the line y = 8 using   a. vertical…

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Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: solution is given below

Q: What rule should be used in deriving f(x) = x³? A. Constant rule B. Sum rule Find dy/dx y=e³x A. e³x…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 4x+5 x2+x-2 5) 6) 2=1 +1 7) fx.tan-1x.dx dx =

A: To evaluate the given integral.

Q: 2 Within x² - y² = 16, y = 0, x =

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Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &  g(x)=x-1

Q: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: 14) The solid is generated by rotating R about y = -3. 15) The solid is generated by rotating R…

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