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Calculus

04/12/24

Antiderivatives

Given f”(x)= 3x-5 and f’(-1)=-6 and f(-1)=4. find f’(x)=and find f(1)=

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Calculus

04/12/24

Suppose P2(x)= A+Bx+C(x^2) is the second-degree Taylor polynomial for the function f(x) about x=0 shown in the figure below. Fill in the information below about the coefficients (A,B,C) of p2(x),... more

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Calculus

04/11/24

Evaluate Intergral from -inf to -4 of (1/((x+1)^2(x+2))

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Calculus

04/10/24

series question!

∑(n=1,∞)arctan(n+1)-arctan(n+2)

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Calculus

04/10/24

need help with a math question

Find the limit of the sequence, [ln(n)+(-1)n]/(3n2-1)Would the answer of this be that the limit diverges? Or would it be zero? Would I use L'Hospital's rule while finding the limit?

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Calculus Math

04/09/24

Calc 2 series quiz question

Is [An] = (((2n^2)+(2n)+1)/(((n^2)+n)^2)), monotonic? thenWrite in function form and find the derivative of f'(n) = (((2n^2)+(2n)+1)/(((n^2)+n)^2))Determine where the sequence [An] = (natural... more

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Calculus

04/08/24

Finding a Riemann Sum

Find the Riemann Sum for f(x)=x^2 +3x over the interval [0,8] wherex0=0 x1=1 x2=3 x3=7 x4=8and c1=1 c2=2 c3=5 c4=8

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Calculus Math

04/08/24

Define the parametrization of r(u,v)

F(x,y,z) = (y,x,x+z^2) accross the paraboloid z = x^2+y^2 over the unit disk oriented with upward point normal vector r(u,v) = (u*cos(v), u*sin(v), ____)I can't figure out what Z would be, I tried... more

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Calculus

04/07/24

Consider the region R bounded by y = x^2 and y = 2 − x^2.

Consider the region R bounded by y = x2 and y = 2 − x2.(a) Sketch the graphs of the two curves and shade the region R.(b) Find the volume of the solid obtained by revolving the region R about... more

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Calculus

04/07/24

Consider the two curves y = x^2 and y = 5 − x.

Consider the two curves y = x2 and y = 5 − x.(a) Sketch the graphs of the two curves and shade the are between them in the first quadrant.(b) Find the area of this region using integration with... more

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Calculus Math Precalculus Sat Math

04/06/24

Find the image of an arbitrary vector

Here's the link to the question. https://ibb.co/mDVnLN2

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Calculus

04/06/24

Consider the equation below.

f(x) = x5 ln x(a) What is the domain of the function?(b) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)Find the interval(s) on which f is decreasing.... more

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Calculus

04/06/24

Consider the following function.

f(x) = (3 − x)e−xa) Find the intervals of increase or decrease. (Enter your answers using interval notation.) increasing decreasing (b) Find the intervals of concavity. (Enter your... more

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Calculus

04/06/24

Consider the function below.

f(x) = x√x + 6(a) What is the domain of the function? (Enter your answer using interval notation.)(b) Find the interval(s) where the function is increasing. (Enter your answer using interval... more

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Calculus

04/06/24

Consider the function below. f(x) = 9 + 4x^2 − x^4

(a) Find the interval(s) where the function is increasing. (Enter your answer using interval notation.)Find the interval(s) where the function is decreasing. (Enter your answer using interval... more

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Calculus

04/06/24

For the function below, determine each of the following. g(x) = 5x^4 + 20x^3 + 13

(a) Find the critical values of g(x). (Enter your answers as a comma-separated list.) x = (b) Find the intervals on which g(x) is increasing and the intervals on which g(x) is decreasing.... more

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Calculus

04/06/24

Suppose the function g(x) has a domain of all real numbers. The second derivative of g(x) is shown below.

g ''(x) = (x−2)5(x + 3)(x + 4)2a) Give the intervals where g(x) is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)(b) Give the intervals... more

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Calculus

04/06/24

Suppose the function f(x) has a domain of all real numbers except x = 3 . The first derivative of f(x) is shown below.

f '(x) = 5(x − 1)e^8x/(x − 3)^5a. Find the interval(s) where f(x) is increasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)b. Find the interval(s)... more

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Calculus

04/06/24

Suppose f '' is continuous on (−∞, ∞).

(b) If f '(−4) = 0 and f ''(−4) = 0, what can you say about f ?a. At x = −4, f has a local maximum.b. At x = −4, f has a local minimum. c. At x = −4, f has neither a maximum nor a minimum.d. More... more

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Calculus

04/06/24

Suppose f '' is continuous on (−∞, ∞).

(a) If f '(−5) = 0 and f ''(−5) = −3, what can you say about f ? a. At x = −5, f has a local maximum. b. At x = −5, f has a local minimum. c. At x = −5, f has neither a maximum nor a minimum. ... more

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Calculus Math

04/06/24

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1

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Calculus

04/06/24

Calculus Optimization

Eight feet of wire is to be used to form a square and a circle.(A) Express the sum of the areas of the square and the circle as a function A of a side of the square x.(B) What is the domain of A?... more

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Calculus

04/05/24

Finding a unit normal vector to a surface

Find a unit normal vector to the surface z(x,y,z)=0 at the point P(-4,-5,9) for the functionf(x,y,z)=ln(-4x/(-5y-z))Please write your answer as a vector ⟨a,b,c⟩ with a negative z component, and... more

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Calculus

04/05/24

Using a tangent plane to approximate

Use a tangent plane at (7,2) to approximate the value of the following function at the point (7.1,1.9):-4x^28y^2+7z=263Present your answer accurate to 4 decimal places.

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Calculus

04/05/24

using tangent planes to approximate

Use a tangent plane to approximate the value of the following function at the point (-4.9,-16.1) f(x,y) = arctan(xy^2+1281). Present your answer accurate to four decimal places.

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Antiderivatives

Polynomial taylor

Evaluate Intergral from -inf to -4 of (1/((x+1)^2(x+2))

series question!

need help with a math question

Calc 2 series quiz question

Finding a Riemann Sum

Define the parametrization of r(u,v)

Consider the region R bounded by y = x^2 and y = 2 − x^2.

Consider the two curves y = x^2 and y = 5 − x.

Find the image of an arbitrary vector

Consider the equation below.

Consider the following function.

Consider the function below.

Consider the function below. f(x) = 9 + 4x^2 − x^4

For the function below, determine each of the following. g(x) = 5x^4 + 20x^3 + 13

Suppose the function g(x) has a domain of all real numbers. The second derivative of g(x) is shown below.

Suppose the function f(x) has a domain of all real numbers except x = 3 . The first derivative of f(x) is shown below.

Suppose f '' is continuous on (−∞, ∞).

Suppose f '' is continuous on (−∞, ∞).

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

Calculus Optimization

Finding a unit normal vector to a surface

Using a tangent plane to approximate

using tangent planes to approximate

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