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Q: x=5, evaluate: a. 12 b. Jasnde d. f19f(x)-12g(x)|dx

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Q: 6 .6 If f(x)dx=10 and f(x)dx=3, then | f(4 – x)dx=? A В 3 (c) 7 10

A: Given that a integration problem and we solve this problem by using general formulas of integration.…

Q: 4. If f(x) = 23x1, what is f(-1)? а. 16 b. 1/16 с. 8 d. 1/8

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

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Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

Q: Find dy. y=28+13x-2x

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Q: (:) 8. dw 4. 6tan w

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Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

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Q: d 7. { x7 +1 Væ5 + 1 dx

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Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

A: Solution

Q: 37. So x + 3 √x+1 dx.

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Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: 1. The following questions use the transformation x = u + v, y = v – 2u from the uv- plane to the…

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Q: P(A | B) = 0.1, P(B) = 0.7, P(A | B') = 0.4. Find P(B | A).

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Q: As a → 1 what happens to the value of f f(x)dx?

A: As a →1 what happens to the value of ∫1af(x)dx.

Q: (с) c= 3 3 тде C= ум —2 (0.0)) dt

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Q: et Evaluate dx using an appropriate substitution. 1+ e2x a

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Q: dy 3. 9+y? メーNE _ xp

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Q: Find dy for x5 + 2y* = 5y dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable.…

Q: +1 dx -8 Evaluate

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Q: dz IV. Suppose z is a function of x and y, and ax² – y? = 2"e6y. Solve for dx

A: Given: z is a function of xand y and x2-y2=zxe6y. To find: ∂z∂x

Q: What is the value of (V-1)' ? A. e- BỊ e C. e D. e

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Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: #1: let f:X>Y be a function fram a non -empty X into bopelogical space (y, Zg)•, Let Zu be the class…

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Q: dx. x2 V1+ x2 Evaluate

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Q: Find p, q if f,º f(x) dx – L f(x)dx = [" 5(x) dx. (Give your answers as whole or exact numbers.) p =

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Q: | f(x)dx Select one: а. S f(x)dx 2 b. 1 С. f(x)dx - d. 0

A: Given integral is: ∫aaf(x)dx

Q: x- dx = %3D

A: Given:

Q: af Find and f(x, y) = 4xy – 6x? – y? + 9x – 3y + 3 - af af dy 3 f(x, y) = (4x – 6y)* fe af dy ||

A: Partially differentiate with respect to x and y. Detailed solution is given below.

Q: dy If dx and y (2) = 5, then

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Q: 2 In? x dx

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