.5 If f(x) dx 10 and f(x) dx = 3.1, find f(x) dx. Answer:

Q: Differentiate the following function. y = 5 ex – 2x dx II

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Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: By direct calculation, estimate the value of for f(x) = x + 1 at x = 2. Use an increment of 0.0001.…

A: Differnentiation

Q: Which of the following functions grow faster than In x as x→ oo? Which grow at the same rate as In…

A: fx=lnx c. gx=1x Now, limx→∞gxfx=limx→∞1xlnx=limx→∞1x lnx=0 Hence fx=lnx and gx=1x grows at same…

Q: Find the indicated derivative. 32 df If f(x) =F + 12 x, find dx x = 4 df dx x = 4

A: Topic:- Derivatives

Q: Determine how large the number a has to be so that dx

A: To solve this problem we will first solve the integration and then use the concept of linear…

Q: Find the derivative: h(x)= [ dz a. b. x+1 2+2 C. d. 20+1) e. None of the above.

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Q: Differentiate the following function.   y = e2 ln (x+1)

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: Differentiate the following function.   y =  ln -2x + 1

A: Given function is y=ln-2x+1. To differentiate the given function. Solution: Chain rule of…

Q: Find the given derivative. 1 D 2x 3 DX 2x 5

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Q: Evaluate f -dx is equal to x In 3x

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Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

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Q: Evaluate the function shown

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Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

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Q: Consider the following function and express the relationship between a small change in x and the…

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Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: Given the following find the rate for change between 4 and 7 of  f(x)=3x+2

A: To find rate of change between 4 and 7

Q: Find the (a) derivative y'= dy dx y = (n² + 5 secx) ㅠ of following Question tog 3 x

A: Note: Due to guidelines i can solve only your first question. Solution: a) y=πe+5sec xlog3x…

Q: What is the value of , x(x + 1)+ dx ?

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Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: 6. If Jo(2x* +x-a)) dx = 24, find the value of a constant.

A: ∫0262x2+x-a dx=24

Q: find x for which = 0. dx

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Q: At what point on the curve y = [ ln (x +4 ) ]2

A: Consider the curves, y=lnx+42

Q: Differentiate the following function.   y = e2 ln(2x+1)

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Q: Q4: Find integration for the following functions: - a- S 3ln²x dx

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Q: Compute the given derivative. dx x=-9 e 1/9 O 9e9

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Q: - 1 dx

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Q: If x is measured in meters and f(x) is measured in newtons,what are the units for  ∫0100 f(x) dx ?

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Q: Suppose y = 3x + 2. What is delta y if x increases by 3?

A: Given:        y=3x+2

Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: Find the indicated derivative. dp for p = 1 - () 4q dp P. %3D

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Q: | 2e0.1x dx

A: here we will use 8 rectangle i.e. n=8 with right Riemann sum to approximate value of rectangle and…

Q: Show that: (e) (VF) = 1 dx

A: Derivative of a function xn: ddxxn=nxn-1                               (1) Given function is: f(x)=x…

Q: Compute the derivative: d x4 – 4 dx \ x2 – 5 lz=D3 The derivative is:

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Q: x² dx 4

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Q: x2 dx V4 – x2

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Q: What are all values ofk for which x'dx = 0?

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Q: Find derivative of the 6tanx following function d d.x

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Q: The process followed by a variable x is: dx = function f(x,t) = In(x/t)? uxdt + oxdz.What is the…

A: Given:     Using x is : dx=μxdt+σxdz find the process for the function f(x,t)=In(xt).    Also that…

Q: Determine how large the number a has to be so that dx

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Q: (d) Find f'(x) for f(x) = In (e* + e¯*)

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Q: dx x? – 4x + 5

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Q: T* dx from a=-1 to b-1 is an even function.

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Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: . Determine how large the number a has to be so that dx

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Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by…

Q: 1+ x? dx (1+x)³

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Q: Q1: what is on (3x) SI2 dx x2

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Q: Q7/ find the derivative (, df. 1 f(x) = + 5 e* x4/3

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