Evaluate the following integral. | e2* cos3x dx

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Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

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Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: Use a table of values to evaluate the limits of the given function

A: Let's find. 

Q: O Evalunte

A: We will evaluate the double integral. 

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Q: Let a = (2, –3, 5) and b = (4, 1, –1). Compute: a +b = (. a – b = ( 4. 2а 3

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Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: We will find the rate of change of the future value. 

Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

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Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2 

Q: 3 + 6.4x. Let f(x) We will use the interval bisection method to find an approximate solution to f(x)...

A: Solved below

Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Find an angle 0 with 0° < 0< 360° that has the same: Sine function value as 250° degrees %3D Cosine ...

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Q: Find f'(x), if: f(x) = (x-2/2x+1)^9

A: Find your answer below 

Q: Let v = (3, –5, 5). Find a unit vector in the same direction as v.

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Q: ity 5: Do what is asked. Show neat and complete solutions on your answer A Norman window is construc...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: 1- cos?t lim t-0 t

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Q: S 30x° e -x 10 dx 30х е 8. 8-

A: Let x10= t  Derivating both sides  10x9dx= dt  

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

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Q: Find the following. a. da Pro b. da le 4] = %3D C. dr (5e 02] = %3D

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Q: a. Use integrals to show that the circumference of the circle x2 + y? a? is 2na. %3D b. Find the len...

A: Solving question (a), 

Q: 2x2-8х+7 x 0 9x2+5x-3' Suppose f (x) = -4х3 +6х2—15 х-6х3

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Q: Find a root of the function f(x) = csc(3x-4) + In(x-2) - 3 from x = 5.7 to 6 using any bracketing me...

A: This question can be solved by the help of bisection method.

Q: 00 Suppose y = > anx" on an open interval I that contains the origin. Express the following as a n=0...

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Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is ...

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Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given 

Q: btam a parken Aplution alor then t=0, r=r,. dr = -frt

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Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: 9. xy' + y = /x 10. y' + y = sin(e*)

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Q: 1-cost lim sint et-1 + t t t+0

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Q: (a) Find the critical points, if any, of the following function on the given interval. (b) Use a gra...

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Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2...

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Q: 2. The function f in |f(x)dx = F(x)+C is called A. integral B. derivative C. antiderivative D. integ...

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Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

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Q: [(x²-4)(12z–z')' dz

A: Given,            ∫z2-412z-z34dz

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: (x'y – y+ 2) dy 1 II (x'y – y +2) dy dx 1

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money i...

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Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

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Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters ...

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Q: Given y=(3x +6)| 2x- Find the value y' at x = 4

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Q: Select ALL possible answers if there is more than one. * 1 16 Let f(x) =- ifx<- 2 . If f(x) is conti...

A: Let's find. 

Q: 2(-1)n-1_ (2n)! (n!)2. 2n n=1

A: solution:-∑n=1∞-1n-12n!n!2.2nan=-1n-12n!n!2·2nan+1=-1n2n+1!n+1!2·2n+1Applying the ratio testL=limn→∞...

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: We have to check weather the given graph is continuous but not differentiable.

Q: Write an integral that is equivalent to f (4x) 4 a = b = f(u) du sSubmit Answer a

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