1. Sv 2x - x² dx

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

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Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: The Bradford family wants to establish an ongoing scholarship award at a college. Each year in June…

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Q: y = 1 x=y² B A (0,0) y=x² C (1, 1) X=1 X

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Q: 1. f(x) da converges, then If f(x) ≤ g(x) for all z in [a, +∞o) and converges. g(x) dx also

A: Given

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and ƒ'(0) = 8,…

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Q: √4x+4-√√5x+1 x#3 Q18) if f(x)= x-3 k x=3 A) 15) 1 C)O by Q19) Use local linear approximation in ind…

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Q: Find the x-value of all points where the function below has any relative extrema. Find the value(s)…

A: Solution is here

Q: Q2/ Compute the following integral: 3 x √x - 4 dx

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Q: 5. (a) Use Newton's binomial theorem to calculate √50 with 4 terms.

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Q: 7. favn-1dr 8. (1) Vai - dar 1 f sh 1 9. dx 5 + 1

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Q: Show that the Fourier series of is: 2 ƒ (a) = (1/2 + 1). - Σ n=1,3,5,00 1 1 Hence find the sum of…

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Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

A: Given :∫-24sinx2+2dxn=6

Q: (B): Find the integration by using substitution method [x√2x - 1 dx

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Q: 1. 2²₂(3x-4)dx

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

Q: 10. Evaluate cos x sin² x dx

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Q: Evaluate the following integral: * *π/2 [sin² 6 1/42 4 O - (2/63) O - (3/28) O 2/63 sin x cos³ x

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: The projected population of a certain ethnic group(in millions) can be approximated by p(t) =…

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Q: [1 0 1. Let A = (i) AB (ii) BA (iii) Is AB=BA? 2 -5 2 -3 4] 1 -1 1] VY and B = 2 3 -5 0 6-2 -1 -3]…

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Q: A circular swimming pool has a diameter of 24m, the sides are 5m high, and the depth of the water is…

A: Question is solved.

Q: Find the first derivative j 27 (x+2)³(2x+7y)² (y is a constant)

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Q: A rectangle has a perimeter of 120 meters. What dimensions yield a maximum area? Let the domain of…

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Q: Find the equation of the plane having the points P(1, 2,5), Q(-2, 0, 1), and R(-3,-4,1). 8x + 2y 5z…

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: 3x · Se³ª sec e³ª tan e³ dx

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Q: Find the absolute extrema of f on the given closed interval. 1. f(x)= x³ + 3x² - 9x ; [-4,4]

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Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy² = 2 (C- cos x) O…

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Q: Q4: (A) particle moves in a straight line with an acceleration a(t) = (2t + 3)-3 m/sec² If the…

A: Let's find velocity 2 Second after the start of the movement.

Q: Find the value of x if O 1.84 O 1.77 O 1.32 O None of these O 1.52 metazaf =7

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Q: n. 3' 11. In each of the following, express the required series in summation notation.' (b) Find the…

A: Let's find taylor series of given  function  f(x) = sin(2x) at x = pi/6.

Q: If you are not given the graph of a cosine function f(x) however its maximum and minimum are 3π…

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Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: - 3x Find the derivative of y with respect to x if y = e

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Q: (B): Find the integration by using substitution method fx √2x-1 dx

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Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t = 0,…

A: Above question is solved.

Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

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Q: Differentiate r(t)=

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Q: Test the equation below for exactness. If exact, solve. If not, use an integrating factor (find it…

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Q: Find the derivative of the function. y = -2e - 5x²

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Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: Use the Quotient Rule to calculate the derivative for the function f(x) = 8 1+ex .

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Q: du (A) Show that if y=csc(u), then=-csc(u) cot(u) dx dx

A: Given :y=csc(u)Proved

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

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Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

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Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10) ~ ≈ 94

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Q: 3 *+ 3 2- 1 نها 1 2 3 To find the blue shaded area above, we would calculate: [ f(x) de f(x) dx =…

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Q: Applications

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