Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: Your answer should be in terms of n.

Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...

Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1) ...

A:

Q: To evaluate the integral expression sin -"(Vx )dv, using simple substitution dv=f(x)dx. Determine th...

A: Please see the below picture for detailed solution. 

Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration

Q: patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 7​% of the dru...

A: Given query is to find the rate of change after 6 hours.

Q: evF dr S-

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

Q: sin- In?| 4+ tan-'cos- dx 2 COs- 1+ cos 4+ tan-'cos In2 4+ tan-'cos- dx 2 2sin- 2 (A) 4+ tan-'cos- 2...

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Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: 1 2х

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Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx ...

A: topic - integration

Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

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Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

Q: Given cost and price​ (demand) functions C(q)=110q+44,400 and p(q)=−2q+870​, what is the marginal co...

A: we have given the cost function C(q) =110q+44,400

Q: Evaluate the integral

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Q: S [sin(Inx?) ]°dx Which of the following is equivalent to -? х

A: Follow the procedure given below. 

Q: Question 11 ean -15t sech(en-15) t Evaluate: 1+25/2 A -tan-le tan -ISt + C B tan-le tan-15t --tan -l...

A:

Q: e* then the integrand is the same as dx In 4+e¯ 4e* + 1 A) True B) False

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. (Write yo...

A: The given differential equation is; 5xcos(x) =[2y+e^(3y)]y', y(0)=0.

Q: cose Evaluate the integral: - de. 4- sin?e -ain (an)•c (sin (A) B None of the given choices © Sin-(글...

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Q: x2dx ²dx 5+ x2

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Q: If (Mesin(2x) dx = esin(2x) + C, then the M is equal to

A: To find our the value of M. 

Q: what is the relative minimum value of the function f(x,y) = e^x^2 + y^2

A: Calculate first and second partial derivative with respect to x and y  then take first partial deriv...

Q: evF dr S. A) 2 +1 В 2 +1 (D

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Q: tan –15t sech Evaluate: 1+2512

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Q: 2 4-x2 x2 +4 1 2x

A:

Q: The coefficient of sec(x) when (tan(x) – sec(x))²dx was evaluated is Blank 1 (use number, no space)

A:

Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

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Q: sin- In?| 4+ tan-!cos- dx 1+ cos2- 4+ tan-cos- 2sin- In2 4+ tan-'cos- dx 2 2 A 1+ cos 4+ tan-'cos- х...

A:

Q: – 3 If (x) dx: +C, then f (x) =- x4 A) True B) False

A: I have stated the used formula in the solution

Q: Show that the limit does not exist. 2 ху - 1 lim (х,у)—(1,1) У -1 First observe along the line x = 1...

A: Topic = Limits

Q: The antiderivative of Cos(3x)

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Q: Suppose that f(4) = 4, g(4) = 3, f'(4) = -2, and g'(4) = 5. Find h'(4). (a) h(x) = 5(x) + 3g(x) h'(4...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A:

Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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Q: sin³ydy 1+ cosy A 1+ cosy В 1- cosy siny D sin³y E) None

A:

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: The given statements: Statement 1:    The dependent variables in ∂p∂r=∂3p∂x3-∂2q∂x∂r  are p and q.St...

Q: 2In|tanh(0.5x)| + C 4tan-le0.5x + C E 21n|csc(0.5x) + cot(0.5x)| + C

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Q: If u <0, then -in (-u) +C u (A) True B False

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Q: A function F (x) is called an antiderivative of a function f (x), if A F(x)=f (x) F(x)=f (x) F (x) =...

A: Let's find. 

Q: Differentiate. y = eP(p + pVp) y' =

A:

Q: 3x3-5xe* +2xcos(x) Evaluate: dx A x3 - 5e* – 2sin(x) + C 3x4 B 5e* +2sin(x) + C 4 © x3 - 5e" + 2sin(...

A:

Q: Let A = f1) be the amount of money in an account, in dollars, t months after an initial investment o...

A:

Q: '+ 1 dx 2x e (А A -e-2*) + C B +x +C 4 2 5x +x +C e3 (D) 3 +C e*

A:

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Explained below 

Q: In( sin(x))dv using simple substitution, dv =f (x)dx_Determine the valut of /(x) if In order to eval...

A: The given integral is: I=∫lnsin x dv

Q: Which of the following is equivalent to the integrand of ((sin(Inx7))? Which of the following is equ...

A:

Q: sin³ydy 1+ cosy (A) 1+ cosy B) 1- cosy с) siny D sin3y E) None

A: To find out the correct u to evaluate the integration. 

Q: Find the Maclaurin Series of tan-(x2) at x = 0.25

A: First we find Maclaurin series of taninverse x then replace x by x2