4x2-3z-2 Given a+1 determine y"

Q: Differentiate. 9. y = e

A: As per the guidelines I am sharing the solution to the first question.

Q: Solve the system of differential equations - 12x + 8y y' = – 10x + 6y a (0) %3D — 10, у(0) — — 13…

A:

Q: Find the rectangular equation of the curve given by the parametric equations below. Then graph the…

A:

Q: y = 4e2x + xe2x; y" - 2y' + 1 = 0. Yes O No

A:

Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 8x + 7 %3D…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y =…

A:

Q: rrent Attempt in Progress Evaluate the line integral using Green's Theorem and check the answer by…

A: Greens theorem

Q: ind V × (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F) = ||

A: Topic:- application of derivatives

Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: Graph in radians please

A:

Q: f(t) 3. Find the function f and a number a such that a + dt = 2 sin x for all x greater than zero.…

A: We can solve as follows

Q: Improper Integral. KINDLY EVALUATE and Identufy whether convergent or divergent

A:

Q: a) Prove If he Given DE Is exact or non-exact Find its General solution

A:

Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯-" ) at the point where…

A:

Q: Describe the graph of the equation. r = (5 – 31) i – 1ltj O Itis a line in 2-space that goes through…

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A:

Q: dr Vr +3 5.

A:

Q: Q2: You have the matrix How can we get the transpose matrix

A: Given problem:-

Q: Determine the derivative of the following curve: T3+y3 +yi = 5

A: Given: x23+y23=5

Q: f(x) = x-5/x+8 find the domain

A:

Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

A:

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

A:

Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

A:

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

A:

Q: Sketch the region whose area is given by the definite integral. 8. x dx

A:

Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 7 Choose the correct answer below. ki…

A:

Q: Calculate s f(x, y, z) dS for the given surface and function. D(r, 0) = (r cos(0), r sin(0), 0), 0<r…

A:

Q: S Sec ta

A:

Q: 0y-25 +y= 2メ+3 %3D

A:

Q: Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

A: answer is in next step

Q: Ise Newton's method with the specified initial approximation x, to find x, the third approximation…

A: Solve the following

Q: Use series to approximate the value of the integral with an error of magnitude less than 10-8. 0.19…

A: We will use atleast 8 digits in every value which eventually lead to the error less than 10-8.

Q: dy Solve the separable differential equation dt t t?y + y Use the following initial condition: y(0)…

A:

Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

Q: Find an equation for the line tangent to the curve at the point defined by the given value oft.…

A:

Q: lim (1+ sin(18a))/(2«) (A) e? (B) eº (C) e18 (D) ∞ (E) 1 we the question carefully edited 8:11 PM /

A:

Q: If x=tan , then dr = coso de by trigonometric substitution. (1+x*)½" A True B False

A:

Q: dx (x– 1)%

A:

Q: Ir(t) - u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = cos ti + sin tj + tk, u(t) = j + tk…

A:

Q: You are given the following information about a termite colony population. The current population is…

A:

Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here, using the Divergence Theorem, ∯F·Nds=∫∫∫v∇·Fdv Here, F=xy,z,x+y So, ∇·F=∂F∂x,∂F∂y,∂F∂z=y,0,0

Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

A: We can evaluate the given integral by using the following formula.

Q: Find the area of the quadrilateral lot shown in the figure below to the nearest square foot. 130 ft…

A:

Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

A:

Q: 2. sin 2wcos 2wdw

A:

Q: Use the graph to complete the following.

A:

Q: Given the supply function   p=​S(x)=10e0.02x−1   find the average price​ (in dollars) over the…

A: