f (x) = x2 + x – 1 for all values of x

Q: Determine whether the seauence converges or diverges. If it conveges, find the R lo0?+nl00+(nn) 00 n...

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Q: A closed rectangular box has volume 60 cm³. What are the lengths of the edges giving the minimum sur...

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Q: Find K, B and r for H.W Find K, B and T for 1. r(t) = (3 sin t)i + (3 cos t)j + 4tk %3D 2. r(t) = (c...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: (1+cot 8) de 5. sin eJ4 - cote

A:      ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫ -1+u4-u2du=-∫14-u2+u4-u2du=-∫14-u2du+∫u4-u2du=-arcsin12u-4-u...

Q: skill and solving problems with parabolas. 1. Experiment #1: While bouncing the Infinity Ball, Nikki...

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Q: Calculate 121x dxdy where R is the parallelogram with vertices (0,0), (6,2), (7,6) R 1 -(v — Зи), у ...

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Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

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Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west a...

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels w...

Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(-5,-3)

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Q: 5.) y3 x+ at a point where x 3

A: A detailed solution is given below

Q: dy 2.

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Q: u? + 5u – 7 If g(u) In(u) find g'(u)

A: The given function,    g(u)=u2+5u-7ln(u)

Q: The function V(x) = x(7- x)(15 - x), 0<x<7, models the volume of a box. (a) Find the extreme values ...

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Q: dv 3. cot ( +9) 1-cos 2. COS

A: Given: ∫ecot-1v3dvv2+91-cos2ecot-1v3

Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(15,0)

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Q: S 3x(ln(42x))²dx

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Q: csch (2sin 2x)dx 1. V1-4x

A: Given problem:-

Q: ∫sin8 (3?) cos5 (3?)??

A: Find the what later to come on the symbols

Q: Intro You have $5,000 in your savings account, and want to buy a car for $20,000. Part 1 If you are ...

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Q: 1. a) Consider the function z = t², in which t = x – y. Use chain rule to compute dz the partial der...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: Find Vf at the given point. f(x,y,z) = x° + y? - 4z? +zInx, (1,2,5) Vfl(1,2,5) =i+(j +(_])k (Simplif...

A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf=∂ ∂ xx3+y2-4z2+z...

Q: For the functions w = 8x + 3y, x= cos t, and y = sin t, express dw as a function of t, both by using...

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Q: sin' eJ4 - cot e

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Q: Consider the functions y = x and y = x-4. (a) Sketch the graph of the pair of functions using a stan...

A: Graphs and translation

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: #13 and 17, differentiate the function

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Q: Use the difference a+1 – an to show that the given sequence {an } is strictly increasing or strictly...

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Q: 4. p² –1) cos[cosh (In r)]dr let u= du=

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Q: Compute the following integral problems [10x -12x -5 dr

A: Our Aim is to compute the integral given below:-∫10x9-12x3-5 dx  -(i)

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Sketch a graph of a function having the given properties. f(2) = 2, f′(2) = 0, f′(x) > 0 on (−∞,2),...

A: the function has the properties,f(2)=2f'(2)=0f'(x)&gt;0 on -∞,2f'(x)&gt;0 on 2,∞f''(x)&lt;0 on -∞,2f...

Q: Assuming 9x° – 5y - 4xy = 0 defines y as a differentiable function of x, use the theorem dx - to fin...

A: Given: 9x3-5y2-4xy=0

Q: Evaluate the integral. ,2 X- + x + 1 dx o (x + 1)2(x + 2)

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Q: Simplify the expression. −2431,024−−−−−√5   Enter the exact answer. Hint: You can write roots as...

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Q: f(x) = 2. Can you conclude anything about Suppose that f(x) and g(x) are polynomials in x and that l...

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Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

Q: 2. -4 let u= dx=

A: Indefinite Integration using substitution

Q: 3. (a) The surface f(x, y, z) = 1+y - 2 = 0 and g(x, y, z) = x+2-4 0 mect in an ellipse E. Find the ...

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Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: 41. If f(x) = x²/(1 + x), find f"(1).

A: 41.f(x)=x21+x

Q: If f(x) = 2x¬1, then f'(x) is equal to a. x2 b. 1 2x C. 4 x3 d. 4 x3

A: Given :   Discontinuity And f(x)=2x-1

Q: The owner of the Rancho Grande has 2,972 yd of fencing with which to enclose a rectangular piece of ...

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Q: 1 -dx; 2x²-3x+2 1 - dx + 16 A+ ( - x) none of the choices Option 2 1 1 -dx (x - }) (x - 3) dx 9. Opt...

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Q: A spherical balloon is inflating with helium at a rate of 128x ft / min. How fast is the balloon's r...

A: We have to find radius is increasing at a rate of and surface area is increase at arate 

Q: Given f(x) 7 find f'(x) using the limit definition of the derivative. f' (x)=

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Q: #24 and 26a

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Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable....

A: topic - functions and derivatives

Q: x³ +1 7. S dx x+2 2x 8. e*+1 4 dx 9. 3x+2 10. (tan(Inx)dx

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Q: Let f(x) — 5a* + 13х - 2. f(x + h) – f(x) Using the definition of derivative, f'(x) = lim h 0 h ente...

A: f(x)=5x2+13x-2

Q: Evaluate the integral. HINT [See Example 2.] (x² + 8) dx 4

A: Evaluate the integral