True or False: We have Select one: O True O False 0 8 √√xdx = 11.

Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) Option 3 O Option 4 O…

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Q: Surface integral is used to find Density O O Area Surface Volume O

A: We can find the answer as below.

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: se series to evaluate the limit. 2 lim h→0 (sin h)/h- cos h h²

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

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Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: Q6: Find A-1 where A [1 -1 3 6 12 1 0 -2 4

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Q: X-3 (x-2)(x+4) dx

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Q: 3. (a) Solve the differential equation (x+1) ª¹ = y +e³(x+1)² . dx (b) Form the differential…

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Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: y=x² from (0,0) to (1,1). | Compute the line integral of f(x)=2x over the curve 2009

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Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: Solve: y'' - 4y' + 4y = xsinx

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Q: Solve the system of equations by any method. -2x + 5y = −35 7x + 2y = 25 Enter the exact answer as…

A: We use the elimination method to solve the given system of equations.

Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: A) Verify that y = C₁е¯x + c₂e5x is a solution of the DE: y" - 4y' - 5y = 0. B) Find a solution of…

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Q: 6. Ifw = f(x-y, y-x), then show that, ar + L = 0. dx ay

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Q: 25 In (x) X dx

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Q: Solve the initial value problem y" + 5y' - 24y = 0, y(0) = a, y'(0) = 80. Find a so that the…

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Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: Let à = i +43 and b - 37 - 7j. Find a . b

A:

Q: Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147). Use the general…

A: Given problem:- Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147).…

Q: Let à . Find al.

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Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

A:

Q: y = f(x)

A: We can answer all the three questions as below.

Q: Consider a solid G, generated by rotating the region bounded by y = 2x² and y = 0 from would the…

A:

Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: e intervals on which f(x) = x² In x is increasing and decreasing, and the ervals of concavity and…

A: Topic:- application of derivatives Definition :-  Inflection point :-  The point of inflection or…

Q: Find the volume of the parallelepiped determined by the vectors a (3, 4, 1), b = (0, 2, 4), = (2, 4,…

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Q: 3. Obtain the DE of the family of circles with center at (2,-3). Draw at least 4 representative…

A: Given question:- 3. Obtain the DE of the family of circles with centre (2,-3). Draw at least 4…

Q: Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice.…

A: Given L(x)=0.02x3-0.07x2+8x where x is the number of decades since 2000.

Q: can you please write it clearly for a better understanding

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Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

A:

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) (4,5) Option 3 O (√2,75)…

A:

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: OS: Find the solution of the following D.Est 5y-x7 at x- 2

A: Note:as per guidelines we support only one question in one request.kindly repost next question in…

Q: Write the partial fraction decomposition of the following rational expression. 3x² - 8x + 20 X(X +…

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Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

Q: Consider the following. 8x2 − y5 = 3 (a) Find y ′ by implicit differentiation. y ′ =    (b)Solve the…

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Q: (c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and…

A: Let's solve.

Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.