25,270 Answered Questions for the topic calculus

Calculus

06/15/23

Orthonormal Sets
Find a vector V→4 in V4 such that the vectors V→1, V→2, V→3, and V→4 are orthonormal.v1 = 0.5, 0.5, 0.5, 0.5v2 = -0.5, 0.5, 0.5, -0.5v3 = 0.5, 0.5, -0.5 ,-0.5
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Calculus

06/15/23

A. Find f’(a) f(x) = 9/x+1 , a=2
A. F’(a) = ?b. Determine an equation of the line tangent graph of f af (a,f(a)) for given value of a
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Calculus

06/15/23

Use implicit differentiation to find dy/dx . e^xy=8y
Dy/dx= ?
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Calculus

06/15/23

Find d^2y/dx^2. e^ey +x = 4y
d^2y/dx^2 = ?
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Calculus

06/15/23

Use implicit differentiation to find dy/dx y= x+8/y-8
Dy/dx=?
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Calculus

06/15/23

Use implicit differentiation to find dy/dx. 9cos xy =2x+8y
Dy/dx =?
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Calculus

06/15/23

Use implicit differentiation to find dy/dx. Cos y + sin x =2y
dy/dx = ?
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Calculus

06/15/23

Calculate dy/dx. 3375x=y^4
Dy/dx= ?
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Calculus

06/15/23

A. Find the derivative function f’ for function of f . : F(x)=3/4x+1, a=-1
B. Determine an equation of the line tangent to the graph of F at (a,f(a)) for the given value of a
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Calculus

06/15/23

A line perpendicular to a tangent line is called a normal line. Find an equation of the line perpendicular to the line that is tangent to the following curve at the given point P. Y=x^2-4x; P(7,21)
The equation of the normal line at P(7,21) is
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Calculus

06/15/23

evaluate the integral

∫1/(x^2+9)^2 dxevaluate the integral in terms of arctan
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Calculus

06/15/23

partial fractions
Consider the partial fraction decomposition of the following1/(x-3)(x-7)^2One of the terms in the partial fraction decomposition is of the form:B/(x-7)Find the value of B.
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Calculus Math

06/15/23

Math HW Help Needed
Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 40∘(x,y) = (Incorrect,Incorrect)Round your answers to three decimal places
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Calculus Math

06/14/23

Given the function g(r)= (r-5)(r+2)(r-6) its g-intercept is its r-intercepts are
Given the function g(r)= (r-5)(r+2)(r-6)its g-intercept is ?its r-intercepts are ?
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06/14/23

The revenue R from the sale of x cameras is given by R=68x−x2. The cost C of producing x cameras is given by C=90+49x. How many cameras must be produced and sold in order to break even?

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Calculus

06/14/23

word problem calc
Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the​ crime, the amount of Trioxin... more
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Calculus

06/14/23

A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the rate of change of the radius (in cm/min) when r = 50 centimeters and r = 75 centimeters.
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Calculus

06/14/23

calculus area help
Find the area between the curves   f(x)=x2  and ​ g(x) = ax. ​ (Assume a​ > 0)​(Hint: Your answer will be in terms of​ a.)The area is enter your response here.
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Calculus

06/14/23

calculus help
Find the exact area of the region bounded by the curves  y=10x2−12x+10 and  y=9x2−9x+10 . Answer in integer or fraction form.  NO DECIMAL APPROXIMATIONS.The area between the curves is enter your... more
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Calculus

06/14/23

A baseball diamond has the shape of a square with sides 90 feet long. A player running from second base to third base at a speed of 29 feet per second is 20 feet from third base. Rate changing?
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Calculus

06/14/23

4 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate (in ft/min) is the height of the pile changing when the pile is 22 feet high?
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Calculus

06/14/23

The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rates of change of the area (in cm2/min) when r = 39 centimeters.
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Calculus

06/14/23

substitution 21.8
The curve to the right is the graph of the equation y=−x16−x2. Find the total area of the shaded regions in the graph.
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Calculus

06/14/23

area between curves 20.2
f(x)=x4-8x3+18x2 ,g(x)=-25x+102the area is ______
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Calculus

06/14/23

area between curves 20.7
The population of a town t years after the beginning of the year 2000 is given by P(t) = 5238e0.039t. Find the AVERAGE population of the town from the beginning of the year 2001 to the beginning of... more
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