Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

Q: x' – 4x² +7x-9 x-3 A x3 4x + 3 In Ix-31+ C * * + 4x + 3 In Ix-31 + C C x3 - 3. 3 B x3 D x3 *+ 4x + 3...

A: ∫x3-4x2+7x-9x-3dxthis is an improper fraction, hence do divisiondivision algorithmdividenddivisor=qu...

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Q: Question 3 Find lim (x2– 4x+ 3). The Limits is Blank 1. x-5 Blank 1 Add your answer

A: Here is the solution:

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Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

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Q: 23. y + ху %3 ху , У0) %3D 3

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Q: 1+2y² y sin x dyt cs C vdr = 0 dy 10. dx sec2

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Q: Evaluate the integral. 922-100x-100 2-100x dr = +C NOTE: Enter the eract answer.

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Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

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Q: EXERCISE 1.3 EXPLAIN ON HOW YOU WILL SOLVE FOR THE LIMITS OF TRANSCENDENTAL FUNCTIONS USING TABLE OF...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

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Q: Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c)...

A: here problem of differentiation we use d(u*v)/dx rule d(u*v)/dx = u*dv/dx + v*du/dx so answer is giv...

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

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A: Given query is to find the volume of the solid generated.

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

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Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

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Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the abo...

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Q: Find the linearization L(x) of f(x) at x = a. 3 6) f(x) = x, a = 8 %3D

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Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: 1. Below is the graph of f (x) = |x|. Using the left side of the function with the equation y =- x, ...

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Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle betweena and b is- 96. Round your answers to ...

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Q: Evaluate cos x dx Use tabular integration by parts to simplify the evaluation of the integral. (A) (...

A: We can evaluate the given integral by using the tabular integration by parts method.

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Q: 2x + 8, x 8 (i) f(8)= (ii) lim f(r)= (iii) lim f(x)= I 18+ (iv) Justification Answer=

A: To find out the f(8), left hand limit, right hand limit, and also justify the answer. 

Q: J6. [ycos² y dy y cos

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Q: Question 8 of 8 Use the fact that the volume of a tetrahedron with adjacent edges given by the vecto...

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Q: A. Consider the function whose graph is shown below. Determine if the function is continuous at the ...

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Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

Q: 22-92+20 The function f(x) = has a discontinuity at a = 4. For those who have trouble viewing the Ma...

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Q: Given lim f(z) = 5 and lim g(x) = 6, evaluate: %3D %3D lim (– 6f(z) + 6g(z)) = 66 z+7 lim (– 6+ 6f(x...

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Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

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Q: Evaluate the given definite integral by any applicable method. * 10. 1dx 32 b.- 15 32 с. 15 15 d. no...

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Q: et cot (el - 9)dt

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Q: Question 20 Evaluate lim, - o(1- sin?e)/2 A 0 B в) 1 2 D) з

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Q: If f(x) 3 cot lr+ 4, then find the value of f'(-1) is > 8 m IN O O

A: Solve the function

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e dx 1+e2= +...

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