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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10/10/23

Cardboard open top box
A rectangular piece of cardboard measuring 120 cm by 80 cm is used to create an open-topped box by cutting out congruent squares from all four corners. Determine the dimensions of the square that... more
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10/09/23

Line m is the perpendicular bisector of segment AB. Write the equation of line m if the endpoints of the segment are A(-5, -2) and B(3, 4)
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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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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

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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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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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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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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10/07/23

Find the Laplace transform of 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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10/06/23

Find the indicated nth derivative of the following. Write the solution of each number

7. 2nd derivative of y = In|cscθ - cotθ|ans. y" = - cscθ cotθ
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10/06/23

Find the derivative of the following function.Write the solution of each number

3.f(z) = In|cos5z|ans. f'(x)= -5 tan 5z6. y = In √tan x ans. y' = sec²x/2 tan x
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10/05/23

Formulas, Variations Applications
y varies directly as x. If x = 6 then y = 30. Find y when x = 3.
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10/05/23

Find four consecutive integers such that 8 times the sum of the first and the third is 40 greater than 10 times the fourth.
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10/05/23

Let  ∫x 2 (t^2+19)/(t+1)dt Evaluate  F(2)
Let  ∫x 2 (t^2+19)/(t+1)dtEvaluate  F(2) =
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10/04/23

Derivative of Inverse Function Problem
For each of the given functions f(x), find the derivative (f^-1)'(c) at the given point c, first finding a=(f^-1)(c) f(x) = 4x+6x^13 c = -10 a= ? (f^-1)'(c) = ? f(x) = x^2-13x+65 on the... more
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10/04/23

Calculus Homework
Let f(x)= cx+ ln(cos x). For what value of c is f'(pi/4)=1? c=
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10/04/23

Geometry Complementary angles

4G and ZH are complementary angles. If ILG = 6x - 15 and m/H = 3x + 6, find • m<H.
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10/03/23

AP Calculus BC - Derivatives
If f(6+h) - f(6) = ah + bh2 + ch3, find f'(6) if possible.
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10/03/23

What are the coordinates of the point on the directed line segment from (- 7, 2) to (- 4, - 10) that partitions the segment into a ratio of 5 to 1?
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10/03/23

System of Equations
A motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 5.5 hours. Use this information to... more
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10/02/23

Urgent Question!
What is an equation of the line that passes through the point (-7,3) and is perpendicular to the line x-y=9?
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10/02/23

use polynomial identities to factor the polynomials or simplify the expressions.
x^9-88x^3+y^9x^6-27y^34x^2+144216+27y^1264x^3-125y^6
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10/01/23

Use the Law of Sines to solve for all possible triangle
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal... more
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