25,270 Answered Questions for the topic calculus

Calculus

06/11/23

basic integrals 13
Find f such that f′(x)=10x−7​, f(9)=0.
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Calculus

06/11/23

Calculus Scalar
Let L be the line in R3 that consists of all scalar multiples of the vector [−1,2,2]. Find the orthogonal projection of the vector v = [7,9,6] onto L.
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Calculus

06/11/23

Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)
f(x) 3x -------- x+4
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Calculus

06/11/23

f(x) = (x − 2)^2/5
^ 2/5 exponentDescribe the x-values at which f is differentiable. (Enter your answer using interval notation.)
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Calculus Precalculus

06/10/23

calculus question

1- Given the question below find dy/dx.38x6+10x57y+y9=49dy/dx= -228x5+570x56y/10x57+9y8 2- Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mx+b formaty=?
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Calculus

06/10/23

Calculus subspace
Let v=[3,3,−4,−7]. Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.
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Calculus

06/10/23

Calculus Subspace
Let u = [1,0,2−4], V=[0,1,−9,−9], and let W the subspace of R4 spanned by {u,v}. Find a basis for W⊥.
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Calculus

06/10/23

Calculus subspace
Let L be spanned by 2,-5,-1,2 Find a basis of the orthogonal complement L⊥ of L.
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Calculus

06/10/23

Calculus Subspace
Let the line L be spanned by -5,1,3 Find a basis of the orthogonal complement L⊥ of L
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Calculus

06/10/23

implicit diff and related rates
In a trend that scientists​ attribute, at least in​ part, to global​ warming, a certain floating cap of sea ice has been shrinking since 1980. The ice cap always shrinks in the summer and grows in... more
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Calculus

06/10/23

Calculus Scalar
Find an equation of the plane through the point (-5, 3, -3) and perpendicular to the vector (-4, -2, 0).
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Calculus

06/10/23

Calculus Scalar
Find the point on the line y=6x that is closest to the point P = (6,3).
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Calculus

06/10/23

Calculus Scalars
Find two linearly independent vectors perpendicular to the vectorv = 1,7,7
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Calculus Math

06/10/23

Calculating area -Calculus (disk/washer)
Consider the region R in the first quadrant below the curve y=cos(x), above the curve y=sin(x) and to the right of the y axis.a) Find the x and y coordinates of the intersection point of the 2... more
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Calculus

06/10/23

If water is being pumped into the trough at 2 cubic feet per minute, how fast (in ft/min) is the water level rising when h is 1.4 feet deep?
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.A trough being filled with water. The trough is a triangular prism such... more
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Calculus

06/10/23

Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) y = |x^2 − 81|
^ 2 exponent 2
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Calculus

06/10/23

Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x) = (x + 3)^2/3
The ^ is an exponent the exponent i 2/3
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Calculus

06/10/23

Assuming at least 11000 bottles of wine are produced and sold, what is the maximum profit? (Round your answer correct to the nearest cent.)
 the first 11000 bottles of wine produced this season will fetch a profit of $4 per bottle. the profit from each bottle beyond 11000 drops by $0.0003 for each additional bottle sold. Assuming at... more
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Calculus

06/10/23

Decide whether sequence or series is convergent or divergent
Given:A_n= 9n/(6n+5)For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for... more
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Calculus

06/10/23

Compute Sum for following Series
If the following series converges, compute its sum. Otherwise, enter INF if it diverges to infinity, -INF if it diverges to minus infinity, and DIV otherwise.∑(infinity) n=1 , {3+8^n}{8^n}
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Calculus

06/10/23

Find the level of production (in units) that will minimize the average cost. C(x) = 0.2(0.01x2 + 118)
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Calculus

06/09/23

Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x) = (sqrt x + 5 ) + 5
I don't understand
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Calculus Math

06/09/23

Help calc1 problem
h(x) = x − 2 cos(x), [0, 4𝜋] , find all local minimum by second derivative
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Calculus

06/09/23

HELP in calc1 problem
h(x) = x − 2 cos(x), [0, 4𝜋] , find all local maximum by second derivative
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Calculus Math Algebra 1

06/09/23

Unsure how to do table of values

Use linear function to answer the following questions .Y= -3/2x +6 The y intercept of the graph is 6, the function is decreasingFill in the table of values and graph each point connecting and... more
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