x²dx x3+ 4

Q: Write the first five terms of the sequence, give the exact answer: +oo In+11) n=1 Determine whether ...

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Q: Evaluate the integrals C f (z) dz, where C is the unit circle centered at the origin and f (z) is g...

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: If c = 0.118, simplify the expression cos(cos-(c)). If undefined, enter Ø. Provide your answer below...

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Q: Use implicit differentiation to find y' and then evaluate y' at (-3,1). x2 - 9y = In y ... y' =D y'l...

A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1

Q: Provide an appropriate response. lim f(x+ h) – f(x) Find the difference quotient, for the function f...

A: Please see the answer below.

Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Find an equation of the tangent line to y = 7 sin(x) at x =

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Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (1, -3) in the direction 0 The...

A: We have too find direction derivative.

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: How much money must you invest now at 4.5% interest compounded continuously in order to have $10,000...

A: We know continuous compounding formulaP(t)=P0ert where value at time t P0=principal amount r= annual...

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

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Q: sin(tan-1))

A: SOLUTION-

Q: A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim ...

A: topic - condition for differentiable function

Q: 1+x2+y2 Determine the set of points at which the function F(x, y) = is continuous. 1-x2-y2

A: In this we have to check Discontinuity of equation. 

Q: 7. Find T, N, ar, an at t=n. r(1) = 4cos(1)i–4sin(r)j-3rk

A: Tt = r'(t)r'(t) and N(t) = T'(t)T'(t) aT = r'(t) .r''(t)r'(t) and aN = r'(t)×r''(t)r'(t)

Q: Any line perpendicular to r(t) = t+ ·

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy +6=0,...

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: Find a simplified form of the difference quotient for the function. f(x) = /x- 8

A: Difference quotient for function f(x)=x-8

Q: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x ...

Q: f(x) (x-1)(x-4). %3D x+4

A: Topic = Functions

Q: 4. Let f(x) = (x – 2)² (a) Find the average value of the function on interval [1,4] (b) Find c such ...

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Q: Evaluate the given integral, where CC is the circle with positive orientation: 2-32 dz Sc C: 12 + il...

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Q: f(x) – f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 – 2x – x?

A: Given query is to perform indicated operation on the function.

Q: Multiplicities Use the images to determine the multiplicity (or power) for each root: (-1, 0) (0, 0)...

A: Given query is to find the multiplicity of each root of the polynomial from the graph.

Q: a) Find the center of the sphere satisfying the equation, x2 + y2 + z2 - 2x + 4y + 2z = 10. b)Fin...

A: The given equation of sphere,   x2+y2+z2-2x+4y+2z=10

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: Without using a calculator, find the exact value of each: i. sin-1(sin)) =

A: topic- inverse trigonometric functions sin(π+θ)=-sin(θ)sin-1(-x)=-sin-1(x)

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Q: cos 30 de

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Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

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Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

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Q: x+tan x 4. lim X→0 sin x

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Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: How does a transformation of a logarithmic function change the domain of that function? Be careful t...

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Q: Extension Question 2: What would happen if there was a cubic function inside the logarithm? Explair ...

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Q: Determine whether the integral is convergent or divergent. The integral from -2 to 14, 7/(x+2)^1/4 d...

A: integration ∫-2147x+214dx

Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

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Q: Sv-4 - y-3) dy

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Q: EVALUATE AND SOLVE THE LINEAR DIFFERE NTI AL EQUAT O (05 - 150° + 10b* + GOD -72) y 2 12

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

A: Given

Q: 6. Find a set of parametric equations for the line tangent to the space curve at the given point. 2 ...

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Q: For the function y - f(x)- 2x + 0: df at = d.x a. Find 4. f'(-4) = 96 b. Find a formula for a 1 df a...

A: Answer: a.) ddf(2x3+0) = 6x2 =f'(x)f'(-4) = 6×(-4)2 = 96   b.) y = f(x) = y = f(x) = 2x3 + 0y = 2x3 ...

Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: Can you please help with the assignment questions. Thank you

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Q: Let R be an equivalence relation on A - {a,b,c,d) such that a Rc and bRd How many distinct equivalen...

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