Question -5/2 Find k' (x) if k(x) = e Provide your answer below: K(x)= D

Q: 5) Ssech"2tdt

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Q: 6. Suppose that the functions f and g and their first derivatives with respect to x have the followi...

A: a) fxg2x , x=1b) fx2+gx, x=0c) fx+gx, x=0

Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both ...

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Q: Find the antiderivatives or integral of each of the following: let u= Jsech*2tdit du=

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Q: find deri vative gan -? () =

A: Given query is to find the derivative of the expression.

Q: 4. One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and tr...

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: Find the radius of convergence and the interval of convergence. 2k+1 k2 + 49 k=1 Radius of convergen...

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Q: Determine if g(x) is continuous on the following interval. Show you complete solution clearly.

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Q: What is 3+4+5+8×9+3

A: Given query is to perform indicated operation.

Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

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Q: sinh e Incot3x h- dx St 1+9x²

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Q: Find the area of the region that lies under the graph of f over the given interval. Please only solv...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given function is f(x)=e4x, c=0 Find the Taylor series  

Q: Linear Differential Equations у'+ P(x)у %3D f(х), eS poydxy + eS pxdx p(x)y = el PCx»dx f(x), d p(x)...

A: Here we have to solve the given differential equation,  y'-xy=x,   y(0)=3

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If yo...

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Q: Find the derivative of the following functions: 5. y = tanh 2x +coth 3x ans. y' = sech²2x – 2csch²3x...

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Q: Use the graphs below to answer the question. 3-2 -19 3-4-3-2-1 3 -4 -3 -2 4 -3 -2 -19 2. Which line ...

A: Given query is to find the graph whose slope is negative.

Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x) ...

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Q: Use the special comparison test to find whether the following series converge or diverge. 31. E (2n ...

A: We will use Limit comparison test to solve this

Q: Identify the growth constant k and the carrying capacity M in the logistic equation: 8e0.441 1 +2e0....

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Q: nsportar Security Administration, represented as the number of years since 200 = ax2 + bx +c to the ...

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: Concept- we have a given curve and we have to find volume by using the method of cylindrical shell.

Q: 2 find the Voleime Cf the solid generated by revolving the region bainded by the given lines and Cer...

A: The region is bounded by,y=25-x2 ; y=0; x=0; x=5 about x-axis

Q: Consider the function: 36x2- 25 f(x) = %3D Step 1 of 2: Find the critical values of the function. Se...

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Q: 10) 3 (sin y-cos y)*dy COS COS Y

A: A detailed solution is given below

Q: given the funchon go=co x3+27x +36X g (x) = 18X2+54 X+ 36 %3D g"M) = 36X+ 54 g"(-2)= -18 IS graph of...

A: Given query is to find the behaviour of the graph at x = -2.

Q: sec 2x tan 2xdx 7. 100+4 sec 2x

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: The top of the ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the botto...

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Q: Figure 1 below shows the graph of a piecewise function y=f(x). y Figure 1 (i) State all the point(s)...

A: i) The points of discontinuities are x= 0 x= 2 x= 5

Q: Consider the series 00 Σ n3 n=1 1 Is it possible for this series to be conditionally convergent? a. ...

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Q: The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is mo...

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Q: Your parents are considering a 30 year $100,000 mortgage that charges 0.5% interest each month.Formu...

A: Given  P= 100000 r= 0.5% n = 360

Q: Which of the following series converge absolutely? a. (-1)" Σ n3 n=1 n=1 00 C. (-1)" Σ Vn n=1 b.

A: To find the Absolute Convergence of the given series.  

Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write thi...

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Q: (1+,x£)u[ = (x)f I 'I %3D ,find f'(x). V(4x3 – 5x)2

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Q: Write the formula for the derivative of the function. f(x) = 11x4 + 15x3 + 9

A: Given query is to find the derivative of the function.

Q: a) Determine the dimensions of a rectangular tank, without a top, with minimum surface and a fixed v...

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Q: find the solutions of these differential equations a. (x + 2y − 1)dx + (2x + 4y − 3)dy = 0

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Q: 6. Find the nth degree polynomial that satisfies the given conditions. (R__S_ n = 4, and 2 + 3i are ...

A: Given: - The conditions are, n=4, 13and 2+3i are zeros: f(1)=100 To find: - The nth degree polynomia...

Q: Use the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2 arcta...

A: In order to prove the identity, we need to consider a function and by using mean value theorem we sh...

Q: 1. Answer true (T) or false (F) for each general statement in the table provided: a) [(ü •v )w]xv is...

A: As per our guidelines answer first three subpart of a multi part question. So please resubmit the re...

Q: For each equation below, determine if the function is Odd, Even, or Neither f(x) = Va Select an answ...

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Q: (a) Sketch the region bounded by the graphs of y = x + 1, y = x2 – 1, x = 1, and x = 2. %3| %3D | (b...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: What is the median of the set consisting of the first ten prime numbers?

A: We have to find the median of the set consisting of the first ten prime numbers.   Prime numbers are...

Q: 2x lim x→9- 4-/25-x

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

Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

Q: Find the derivative of the following. Ax) = (x)sin x h(x) 1+ csc x 1- csc x

A: Given : f(x)=(x)sinx h(x)=(1+cscx)/(1-cscx)

Q: sin 8 ydy 8. 25+ sin* 4y 4.

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