- Find the derivative of f (t) = (5t³ — 4t² + 1) 49 f' (t) =

Q: dx 2√√x + √x

A: Solution of given question is written in below steps.

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A: topic- application of derivatives

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A: Given: f(x)=3x3-6x-4

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Q: satisfied

A: We will solve the problem.

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A: improper integral means whose limit at any point goes to infinite  here check for it. ∫1dx/(x-2) =…

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Q: f(x) = √√/5x+8 What is the derivative of f(x)?

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A: Break the tanx into Sinx/Cosx

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A: This question is based on gradient of function.

Q: A) None 3 В) 512 Зл 256 3 256 Зл 512 (C) (D) Ε) sin√xcos√x √x E -dx is equal to

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Q: hello, could you sketch the graph please

A: Let's sketch the graph.

Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

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Q: Find f 6x dx?a.x^2+C. b.2x^2+C c.x^2/3+C d.3x^2+C

A: The given integral,        ∫6x dx

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: [Select] A. f(x) = 3x² + 2 B. f(x) = 3x² +4 C. f(x) = 4x³ D. f(x) = 3x4 [Select] A. 6 B. 5 C. 3 D. 2…

A: topic- functions and limits

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A: see below the answer and calculation

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…

Q: S [= sinºxcos³xdx is equal to 16″ 105 2 63 2π 63 Evaluate: A B C D E 16 105 None

A: SOLUTION-

Q: Which equation shows the correct derivative of the equation y = 2x² + 16x +3?

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

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Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

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A: see below the answer and calculation

Q: 3 S² x³ cos x ²dx 6.

A: