Let √10.5 f(x) dx = 9, (a) (b) f(x) dx = 3 3.5 3.5 S F(X /0 f(x) dx = 2, and [² (8F(x) - 4 (8f(x) − 4) dx = 21 √3.5 X 10.5 f f(x) dx = 4. Find the following.

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

A:

Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: Given f(x) dx = 6 and g(x) dx = -4, evaluate the following. %3D (a) [f(x) + g(x)] dx (b) [g(x) –…

A:

Q: If h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: How would the function f(x)=ln(x) be dialted vertically by a factor of 2?

A:

Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: If f(x) = 2−2x, what is f(−4)?

A: The explanation of the solution is :

Q: Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (²…

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Q: ,2 So|x² - 1 dx

A:

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

A:

Q: The production output of a certain factory is N(t) = √² + 10t + 8 where N(t) is the output in…

A: Given is the production output asN(t)=t2+10t+8 We need to find out the rate at which the production…

Q: Given √,³ 0-12 f(x)dx = 8 and g(x)dx=-4, what is -4 4 12 √,³ (g(x) − f(x)]dx?

A:

Q: (a) x® (d) 2x7 ex (b) e¹ (c) x² √√x³ (e) x+1

A: