Find the general antiderivative of f(x) = 13x + 13x2 and check the answer by differentiating. (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) [ f(x) dx =

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A: we have given f(x)=4x7+4x4+2

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A: volume = 20m3l =2bbase cost= $20/m2side cost= $10/m2

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A: The given demand function is:D(q)=-2q+290

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Q: sessment #1 for Unit #2 Outcome 4-MCV4UV-02-Calculus and Vectors-EVA... Ikdsb.elearningontario.ca…

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Q: Q96 h² sin² h o a) Show cos h - 1 = cosh + 1 h² o b) Use a standard trigonometric identity to prove…

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Q: Problem Number 2 Find the relative extrema and sketch the graph of the function f given by f(x) =…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: 8. If 7 = grad(sin(xy) + e²), use the Fundamental Theorem of Line Integrals to calculate fF.dr where…

A: The given function is:F→=gradsin(xy)+ex

Q: Consider the following. f(x, y, z)=√x² + y² + to + y² + ₂2 E (a) Express the triple integral x² + y²…

A: Using spherical coordinates, x=ρsin(φ)cos(θ)y=ρsin(φ)sin(θ)z=ρcos(φ)x2+y2+z2=ρ2,dV=ρ2sin(φ)dρdφdθ…

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Q: Given 2y'+1.2y = 5x, y(0) = 2, the value of y(3) using Euler's method and a step size of h = 1.5 is

A: 2y'+1.2y=5x

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A: Given that :  f(x,y)= x3 + y3 -9x2 -27y + 5. We find critical points And saddle point.

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A: The given complex function is:f(z)=z-2

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Q: 3. (a) Find the linearization (liriear approximation) L(x) of f(x) = sin x at use it to approximate…

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Q: Consider the function f(x) = 10x + 6x + 7x + 20. For what value(s) of x a. Find the turning points…

A: f(x) = 10 x3 + 6 x2 + 7 x + 20

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A: plane  point : (x0 , y0 , z0)=(-1,2,7)n1=<3,2,4>   perpendicular plane  n2=<2,1,-3>

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A: r(t)=<-3t3-4, -3e4t, -5Sin(-3t) >

Q: the

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A: Using rules of differentiation find first and second derivatives.

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