Use L'Hopital's Rule to evaluate the exact value of lim(x² – 2x+1)*-1.

Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

A:

Q: 4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the interva...

A:

Q: r = 6(sec 0 + tan 0)3/2

A:

Q: Given: Sum of the points of the ellipse from foci = 30 Foci: (2,1) (10,1) c = 4 a=? b=? Center: ...

A:

Q: Verify the inverse function theorem of the function y = 4x2 +4x + 9.

A: Solution is given below:

Q: (a) f(x) = 1 – 1; I =[-2,2] (b) f(x) = I = (1,5)

A: We will find if the given function is continuous. 

Q: 00 In x dx x4

A:

Q: * = k (T – Tm) dt where T To

A:

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

A:

Q: 1. Which of the following argument is an example of deductive reasoning? *   a. John got a perfect s...

A: As per bartleby guidelines we only give first three question answers. 

Q: dx X Jioin? x-9

A: ∫1x16ln2x-9dx

Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

A:

Q: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

A:

Q: 2x 3. Show that f(x): | V16+ t4dt has an inverse, and find (f-1)'(0).

A:

Q: ) de 1 cos330 cos830. sin³30

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: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

A:

Q: 1 Use the Integral Test to determine whether the scries is convergent or V3k + 5 k=1 divergent. Reme...

A:

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

Q: An+1 to determine if the sequence { ne" } is strictly increasing or strictly decreasing. an Use the ...

A: By see this solution in below

Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of...

A:

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

A:

Q: 4.(Straightforward) Make the differential equation below exact by find- ing an integrating factor u....

A:

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

A:

Q: For the function g(x) I+x 2 Find the derivative of g. Find the intervals of increase or decrease. Wr...

A:

Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to th...

A: The given function is; f(x,y)=2x+2y and the given constraint is ; 9x2-9xy+9x2=16.

Q: х3(1 — х)8dx

A:

Q: 5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is th...

A:

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

A: Indefinite integral

Q: Minimise x + y - 2xy subject to the constraint y 1: Answer:

A:

Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common rati...

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A:

Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

A:

Q: Sec2X Q1) A) Evaluate the following integral: S V1-tan2x B) Find the slope of the line tangent to th...

A: A) the given integral is sec2x/√(1-tan2x). B)y=Sin5x ; x=π/3.

Q: 4. A ladder 10 meters long is leaning against the wall ofa building The base of the ladder is slidin...

A:

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: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

A:

Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS    SOL 6,7

A:

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

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x² ab...

A:

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: Consider the following function. fx) = (x* + 4x°) %3D Find f'(x).

A:

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+x 1 F(x) = 1 +x+ :·...

A: Using the binomial series expansion: (1+x)k=1+kx+k(k-1)2!x2+k(k-1)(k-2)3!x3+...                     ...

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

A:

Q: 6. Calculate the derivative by logarithmic differentiation and then evaluate g' at the indicated val...

A:

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

A: As per guidelines I can only solve first three subparts , remaining can be reposted

Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: sin-(ry) = cos-(r – y)

A:

Q: 1. Find the y" of y (4x-3x + 1)9 (5x + 7)2 1/2

A:

Q: A series has n-th partial sum given by sn = 9+2e . Calculate the sum of the series. an n=1 Σ an

A: