A f(x) (a, a) 9' (7) = An ata AM a-n. gun →冰

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

A:

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: {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: Determine the value of the constant "a" if it is known that | (4x + 1) dæ = 10 with a#0 a) 을 b) - c)…

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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: Calculate f

A: The integration of the expression is given by . According to the definition of the definite…

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

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: 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: f fo=2x and g)= x-4. what is the value of rCg(3))?

A: f(x)=2x and g(x)=x-4

Q: Q.2 Evaluate : P;(x)dx=

A:

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

A:

Q: dy A4. If x = 3t2, y = t³ then dx

A: Given that x=3t2,y=t3 find dydx

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

A:

Q: Show that A (B × ℃) is not equal to B · (À × ℃)

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Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: dy 3. 9+y? メーNE _ xp

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Q: e" dx 7.3. J- 1-e 2x

A:

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: •3 2ye dx dy y? Evaluate

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Q: (b) Ji 교2(중교" + 1)dr (c) (ax² + bx + c)dx (d) L.(; + ap(뿌

A: Use the formulas below to evaluate the integrals. ∫xndx=xn+1n+1 +C∫dxx=ln x +C   The logarithmic…

Q: 1 (x2 - y2) 3 dx

A: We have to evaluate ∫1x2-y232dx Let x=y secu Then: dxdu=dduy secu⇒dxdu=y secutanu⇒dx=y secutanu du…

Q: d 2 7. (In x)? = In x dx

A: Consider the following expression: ddxlnx2=2×lnx2-1×ddxlnx=2lnx×1x=2xlnx

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: Q.49.a) S: dx x3 Vx2-9

A: Integration problem....

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: 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

A: