2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: In this question we have to find the length of the curve.

Q: Find BT if B= 1 5 07-20 38

A: I have stated the method for the solution

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A: Topic = Trigonometry

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A: We need to find integral.

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Q: Let r(t) = (et, t2 + 1, h(t)). If |r' (0)| = √2, which of the following is a possible h(t)? O sin(t)…

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Q: Find the sum of the series: n=0 x n!

A: We are asked to find the sum of the series.

Q: (9) Find the limit for the given function. h lim (P-3r) mi (sin (8t))² हर t-Do Ne-xst

A: This question is based on limits.

Q: (b) (c) 0 (69) (89-19) 0 0 0 0 0 0 1 2 3 (9) (6 9.6 9.6 2 1 0 0 0 1 0 4. Determine whether the…

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Q: Step 3 Rewrite the integration in terms of u and v. 110 Step 4 (cos w)ew dw = (cos w)ew - Again…

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Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given interval.…

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Q: Find the minimum rate of change of f(x, y) – y³e-² at the point (0. — 2).

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Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: Consider the following information fz(x, y) = 2xy - 2r³ and f₁(x, y) = x² + y² – 6. Use the Second…

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Q: Set R be the region defined by √2² +²³² ≤4 and let f(z,y) = 1²-22+ y². Find the global maximum and…

A: The region R given is: x2+y2≤4y≥x

Q: 5 Laplace transform, solve y" - 4y' + 7y = 0 y(0) = 3 , y'(0) = 7

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Q: A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

A: The given integral,    ∫x2-2xx3-3x2dx

Q: Problem 3 Find a curve in the xy-plane passing through the point (1, 3) and for which the normal…

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Q: xdx

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Q: Represent the plane curve by a vector-valued function. x² + y² = 36 r(t) = (No Response) Need Help?…

A: The plane curve x2+y2=36

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A: Slope of the  tangent line to the  curve  y = f(x) is f '(x)

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A: topic- arc length of a curve

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A: answer is in next step . please give a like !!

Q: Use the given information to find the exact value of the expression. 9) tan 0 = 13/12, 0 lies in…

A: using trigonometry properties

Q: Show that for each positive integer n the polynomial (x-1)2 is a divisor of q(x)=nxn + 1 -(n + 1) xn…

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Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

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Q: F(t) = 4(t+1)²

A: we have f(t) =4(t+1)2 =4(t2+2t+1)

Q: Find the critical points of the given function. 5. f(x) = 2/3+2/3 +x-2/3 6. f(x) Va 7. f(x) (3x +…

A: Given: 5)     fx=14x43+x13+x-23 After simplifying we get     fx=14x43+x13+1x23 Critical points:…

Q: 2x et. Vi-eza ex fer.

A: ∫ ex1-e2xdx=∫1-u2du=∫1+cos2v2dv=12·∫ 1+cos2vdv=12∫…

Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: 7. The points of inflection are found by solving the first derivative equal to zero. 8. When the…

A: You must have idea about Calculus in order to get the answer for these questions.

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: Given that       y = ex, 1<=y<=7; y-axis

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Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

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Q: Consider the function f(x, y) rectangular region D = | 1,1|×|-1,1]. Which of the following…

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Q: Question: The two equal sides of an isosceles triangle measure 95 centimeters and the angles that…

A: The two equal sides of the isosceles triangle are, a=b=95 centimeters The angle that subtend them…

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t2k,   u(t) = 5ti +…

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Q: Use the graph below to write the quadratic function in vertex form. Be sure to use the equation…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Here we have to find the volume.