25,270 Answered Questions for the topic calculus

Calculus

10/10/23

Mat 270: Calc 3.10
The linear approximation at x=0 to f(x)= 1/sqrt(9-x) is L(x) = A +BxI have to find A and B. I was able to find A by plugging in 0 to f(x). I'm having trouble finding B
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Calculus

10/09/23

Find the derivative of the function below.
Find the derivative of the function below.A) f(x)= (sqrt x^2-9 sec^-1 (x))
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Calculus

10/09/23

Sketch a graph of a function with the following properties.
For the following problems, make a sketch of the graph of a function that has the properties described. f(3)=4; f'(3)=0; concave down for all x. f(-1)=0; f'(x)< 0 for x < -1; f'(-1)=0; f'(x)... more
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Calculus

10/08/23

Derivatives of Trigonometric functions

10. Find the higher derivative d^2017/ dx^2017  (2 cos x) by finding the first eight derivatives and ob-serving the pattern that occurs.
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Calculus Math Precalculus

10/08/23

I'm not sure what concept this is
Which of the following functions grow the fastest?g(t)=(3t-t)i(t)= ln(t^100)a(t) = t^5/2c(t)=√(t^2-5t)e(t)=e
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Calculus

10/08/23

Calculate the upper sums Un and lower sums Ln , on a regular partition of the intervals, for the following integrals.
(b)  ∫1 0 (4+18x2)dxJust want to know which step am I doing wrongLn = Σ from i=1 to n of (4 + 18xi^2)Δx Σ from i=1 to n of 4 = 4n Σ from i=1 to n of 18(i/n)^2 = (18/n^2)Σ from i=1 to n of i^2 Σ... more
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10/08/23

How did this sin(𝜃) /1 − cos(𝜃) end up with csc(𝜃) + cot(𝜃)
My professor is a bit bad at explaining so I am holding hope for the explanation for this. sin(𝜃) /1 − cos(𝜃)= csc(𝜃) + cot(𝜃)
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Calculus

10/08/23

Product and quotient rule

In the function h(x) below, defined in terms of f(x) and g(x), determine h′(2) in each case if f(2) = 3, g(2) = 4, f′(2) = 1, and g′(2) = −5. h(x)=g(x)/f(x)+2
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Calculus

10/08/23

The product and quotient rule

f(x) = 1/x  + 1/1-x  (in final answer, use a common denominator and simplify numerator)
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Calculus Math

10/07/23

Find the derivative of the function s(t) = √1+sin(t) / 1+cos(t) using the chain rule. s'(t) = ?
Find the derivative of the function s(t) = √1+sin(t) / 1+cos(t) using the chain rule. s'(t) = ?*the square root covers both the numerator and the denominator*
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Calculus

10/07/23

Find the implicited derivative

dy/dx=5y^2/1-5xy Find the implicit differentiation to find the second derivative of y with the respect to x. d^2y/dx^2 = ?
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Calculus

10/07/23

Derivatives of polynomials and exponential functions

T/F (with justification) If f(x) = √7 for all x, then f prime of (x) = 1/2√7 for all x.
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Calculus

10/07/23

derivatives of polynomials and exponential functions
Find all points (c, f (c)) on the graph of f (x) = x3 − 3x2 where the tangent line has slope 9.
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Calculus

10/07/23

Calculate the upper sums Un and lower sums Ln , on a regular partition of the intervals, for the following integrals.
Calculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the following integrals. (a)  ∫7 1 (2−8x)dx(b)  ∫1 0 (4+18x2)dx(c)  ∫2 1 H(x−2)dxwhere H(x) is the... more
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Calculus Math Algebra 1

10/07/23

In this question we show that certain sets are not convex.

In this question, we show that certain sets are not convex.For each of the following sets, give the coordinates of two points P and Q which are in the set, but the line from P to Q goes outside the... more
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10/07/23

Find the laplace transform of a constant
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10/07/23

Find the Laplace transform of 1
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Calculus

10/07/23

Implicit Derivatives

The equation given is ln(8y)=5xy . Find dy/dx Then d^2y/dx^2. Also find the point on the curve where d^2y/dx^2=0 point (x,y).
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Calculus

10/07/23

FInd the derivative y'

Let y=ln(x^2+y^2). Determine the derivative y' at the point (-sqrte^8-64,8). y'(-sqrte^8-64)=
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Calculus

10/07/23

f'(x) given a eqaution and f(x) and f(-1) and left to find f'(-1)

The question is : Find f'(-1) if 2x(f(x))^3+4x^5 f(x)=-66 and f(-1)=3 . Find f'(-1) =
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10/07/23

asap needed in 30 mins (algebra help. graph)
Sketch the graph of a function f with the following properties: - f is not continuous when x=2 but limx→2​f(x) exists. - f has a jump discontinuity when x=−1. - f is continuous at all points other... more
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Calculus Math

10/06/23

Finding the Rate

A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing... more
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Calculus

10/06/23

Calculus Homework
Find the derivative of the function below. (a) f(x)= (sqrt x^2-9^sec^-1 x)f'(x)=(b) y=12x sin^-1 x+(sqrt 9-x^2)dy/dx=
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10/06/23

How to differentiate between, Partial and ordinary differential equations, Linear and non linear differential equations, Order and degree of a differential equation.
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Calculus

10/06/23

Calculus Homework
Find the derivative of the function below. (a) f(x)= (sqrt x^2-9^sec^-1 x)f'(x)=(b) y=12x sin^-1 x+(sqrt 9-x^2)dy/dx=
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