di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor at t = 4ms if i = 5vt3

Q: 2. f(x)= Vr² +x+1 %3D

A: Let's find. 

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A:

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A:

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A: solve integration  2sinA.cosA=sin2A 2sinAsinB=cos(A-B)-cos(A+B)

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A: Given two equations, x+y=0 y= -(x-1)²

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A:

Q: 11. Consider the following rational functions: 2x 1 x + 27 x -- 9x x² + x - 6 x + 6x² + 9x r(x) s(x)...

A:

Q: Look for the volume of the solid generated by the Solid of Revolution revolving region bounded by th...

A: Let's find. 

Q: Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + ...

A:

Q: 8. 27 n=3

A:

Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2} ...

A: So set C and D are equal. 

Q: 3. Let y = cot r + (cot a) In(sin a) and y" Show that -3 cot r +2y. %3D csc² r 4. Given the function...

A: Given: y=cotx+(cotx)ln(sinx)

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A:

Q: r(5 – 2 In |In|3x|) x In |3x| Given: dx.what is an appropriate formula? (A © -2 fu du © -Jua (B O 2 ...

A: Topic:- integration by substitution   

Q: 4. f(x) = e-x³/2 %3D

A:

Q: dx tan-를 (64 + x) +C 512(64 + x) 512 dx tan" (64 +x -C 1024 128(64 +x) tan + C 512(64 + x) -- (64 + ...

A: Find your answer below 

Q: 4) Find the interval of convergence for the power series Σ (-1)"-1п 2n n=1

A:

Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: 5. f(x) = In Vr² + 4

A: Given:- f(x) =√(x2+4)  To find:- (a) the critical numbers of f (b) all relative extrema of f (c) the...

Q: Using appropriate substitution, the integral S ex3 dx is equal to: X4

A: Indefinite integral

Q: Let y = f (x) be a function with domain all real numbers. It is known that f ′(x) = e^x(x −2)^3(x + ...

A:

Q: Find the radius of convergence and the interval of convergence. 00 (x+ 6)* k=0 Radius of convergence...

A: We will find the radius of convergence and interval of convergence as shown below

Q: Consider the series E ne-n? n=1 If we let f (x) = xe = re-r2 then S f(x) dx %3D O is finite. O is no...

A: The given series,     ∑n=1∞n e-n2

Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: 3. The segment joining R(2, 3) and Q(6, 7) is produced beyond R to a point Po so that Po is five tim...

A: We want to find coordiante of p

Q: QJchange to Polar ( dxdy - Ji-y?

A:

Q: Find the radius of convergence and the interval of convergence. Σ k(k + 1) k=1 Radius of convergence...

A:

Q: Solve the inequality - 2 3 and enter your solution set in the box below using interval notation. To ...

A:

Q: 2 y+ 3 dy y + 5y + 6

A:

Q: Find the radius of convergence and the interval of convergence. (x – 3)* 2k 00 k=0 1)

A:

Q: Use the formula for the binomial series: m(m-1).(m-k+1). k! m(m-1) (1+ x)" 1 + mx + 22 + ... + %3D 2...

A: We have to obtain the Maclaurin series for 1+x5

Q: Use the formula for the binomial series: m(m-1)2 + 2! m(m-1).(m-k+1),k + .. (1 + x)" = 1+ mx + ... k...

A:

Q: (x-1)+3(x-1) +5dx

A:

Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: Determine f(x) so that cos(in?x) f(x) dx = sin (In²x) + C (A) (B 2 In x In x 2 In x (D

A:

Q: Please see the attached photo for the given and don't use the Transcribed Image Text because it's ch...

A: Given function f(x)=lnx2+4 “Since you have asked multiple subparts question, we will solve the first...

Q: II. Answer the following ques 1. A window in the shape of a rectangle surmounted by a right triangle...

A: Given that the ratio of the height of the right triangle to the width of the rectangle is 5:12. Let ...

Q: Question 4 is not smooth. Assume b=11. Find the value of a at which the plane curve traced out by th...

A: Let's find. 

Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

A:

Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

A:

Q: 3.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it....

A: As per our guidelines we are supposed to answer only one question i.e. the question no 3)a). For the...

Q: Given the graph of the functionf below, evaluate lim f(x). x-00

A:

Q: Evaluate

A: We will evaluate the integral. 

Q: Q.2\Prove the Maclaurin series: (-1)"-1xn In(1+ x) = En=1' ,-1<x<1.

A: We have to prove maclaurin series.

Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(x-1) UNIV...

A: Given: x+y=0y=-x-12

Q: For eccn of the functions below, calculate the in verse function : h-dre=(ワナ 2)9u)%3D33%-1 +5 る) hx)...

A:

Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x ( then find the area o...

A:

Q: x³ – 2x? – 4 dx x³ – 2x? 6. 13 -

A: As per Bartleby guideline,  we have answered only the 1st question, mentioned by you. Please repost ...

Q: Determine whether the alternating series converges. 6ln k 1)* k k= 3 O The series diverges. The seri...

A: The given series is summation of (-1)k6lnk/k , k from 3 to infinity.

Q: Find the indefinite integral. 2+ 4x + 3. dx B+ 6x² + 9x + 2 Step 1 du/dx dx Let u = Begin by rewriti...

A: The given integral,       ∫x2+4x+3x3+6x2+9x+2dx