Evaluate the definite integral. ra?/3 xVx6 + a2 dx (a > 0)

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A: topic - linear programming

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

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A: Follow the procedure given below.

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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A: This question is related to infinite series, we will solve it using given information.

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A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

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Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

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Q: Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2,…

A: Consider the equation of the form          F(x,y,z) =0 then the equation of the tangent plane to the…

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A: We have to evaluate the integrals using substution method.

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Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

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Q: 8. Given 8. dx = 16 and f(x) C g(x) dx = -5, evaluate the following. %3D (a) [F(x) + g(x)] dx (b)…

A: Given query is to find the value of the integrals.

Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

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A: Let, x be the number of general admission tickets.  y(=1357-x) be the number of reserved tickets.

Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

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A: topic - combination and permutations

Q: Given: (1+5x, X<-1 f(x) ={ x2 -3, -1 <x<3 7x-6, x23 Determine (if possible) f(-1) a. None of these…

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Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

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Q: a) lim f(x)= b) lim f(x)= c) lim f(x) = d) value(s) of x for which f(x) is discontinuous

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Q: 4. Below is a photograph of the Eiffel Tower in France. On it there is a red parabola and purple…

A: the pair of equations can be x2=-8(y+30)      ... Parabolax236-y2169=1    ........ Hyperbola

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A: Solution:

Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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