f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

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A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

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Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

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A: Here we have to find the maclaurin expansion of the given function.

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A: This question is based on solution of differential equation.

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A: The integration of the integral is (6√x - x-3)2

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A: F(x)=6x3+49x2+90x+56 Since 3x-3 is linearwhere 3x-3=0⇒3x=3⇒x=1 Remainder of F(x) when divided by 3x-...

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Q: 3. s varies directly as r and inversely as square of difference of q to t. If s=12 when r=10, q=5 an...

A: Question: S varies directly as r and inversely as square of difference of q to t .If s=12 when r=10 ...

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Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3...

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A: We use the formula for volume=π integration of y2 from x=a to x=b.

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A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

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A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

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Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

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Q: Question 213 + 412 - 6t-3 for t2 0, where t is 3 A particle travels along a horizontal line accordin...

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Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

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Q: S 12x²Vx3 + 7dx

A: This question can be solved using the concept of integration by substitution.

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Q: O Watch help video A particle moves along the x-axis so that at time t 20 its velocity is given by v...

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A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)&gt;03t2-60t&gt;03t(t-20)&gt;0

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Q: 5. S(5 -5°dx

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Q: Write TRUE if the statement is correct, otherwise, write FALSE. If your answer is false, provide a c...

A: To answer the given question about continuity and differentiability.

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A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: 8. f(x) = (2x - 3)(6x – 2)10

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