3. If g(x) = -dt, find g'(2). %3D

Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

A:

Q: Evaluate the cylindrical coordinate integral. π θ/π 74-2 zdzrdrde 0 0 - /4-12 a 0/n 7/4-12 zdzrdrde…

A:

Q: -dx is an improper integral. A) True B) False

A:

Q: Evaluate the integral. V3/2 dr V1- r2 |

A: We know, ∫dx1-x2=sin-1(x)

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

A:

Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

A:

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

A:

Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: Consider the following function. T: R2 → R3, T(x, y) = (2x², 2xy, 2y²) Find the following images for…

A:

Q: Solve the system of differential equations x' 4x – 15y ly' 2а — 7у - x(0) = 3, y(0) = 1 x(t) = y(t)…

A: We solve the given problem using method of elimination by use of operator D  .

Q: Use the below graph of f(x) defined on the interval (0,12] to answer 4 through #9. 4- 11 4) Over…

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i+5 sin(t)j+ 6tk;…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: Find an equation of the hyperbola having foci at (1, -7) and (1, 3) and vertices at (1, -5) and (1,…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

A:

Q: af(x, y) If f(x, y, z) = , then is equal to dz (y – 2)² (y – 2)? O 1 2z – x – y (y – z)?

A: Given problem:-

Q: 16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C<D where…

A: 1) The given function is:…

Q: Graph in radians please

A:

Q: Find dy/dx. x = Vt y = 9-t dy dx

A: Here, x=t3y=9-t

Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

A:

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

A:

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

A:

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

A:

Q: Solve the initial value problem. x'(t) -x = 1; x(0) = 3

A:

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: Express the limit lim E (4 cos (272;) + 6)A¤; [2, 4] over as an integral. n- 00 i=1

A:

Q: 1. Given the DE as x(1 – siny)dy = (cosx – cosy – y)dx a) Prove if the given DE is exact or…

A: Given differential equation: x( 1- siny) dy=( cos x-cosy-y) dx

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: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: tó úsé co ór -0o, enter INFINITY or -INFINITY, respectively.) (-1)" + 1n! 1. 8. 15 ... (7n + 1) n =…

A: Solve the following

Q: Find the particular solution determined by the given condition. f'(x) = x2/5 + x; f(1) = -6 f(x) = =…

A: We can find the particular solution as below.

Q: domain: vertical asymptotes l:  x= horizontal asymptotes: y=

A: Given query is to find vertical asymptots and horizontal asymptote.

Q: Evaluate the following definite integrals. år 5.

A:

Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. dx

A:

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A:

Q: Find div F and curl F if F(x, y, z) = 4y°z°i – 8a*zl°j – 7xy°k. div F= curl F

A: we have to find curl and divergence of F.

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 4+ 12x…

A:

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

A:

Q: 0.4x Find the area between the curves y = e and y 1.9x + 1 from x = 0 to x = 3. Area =

A:

Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Solution:

Q: Evaluate: /1/T 1–x*dx (A 4) ² +c B D E) None

A:

Q: Evaluate the integral directly by integration with respect to x and y. 4 x= (y/4)+ 1 4x - y -dxdy 4…

A: We have to find the value of the double integral ∫04∫x=y4x=y4+14x-y4dxdy Since dx present first in…

Q: (x) = V19+r dt , find f'(3)

A: Given query is to find indicated derivative.

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A: The solution is given below.

Q: Solve the initial value problem. 1 u'(x) = – 2; u(0) = 1 x2+1

A: Explanation of the answer is as follows

Q: Find y': y arcsin Oy =-- %3D Oy = - zV-9 %3D Oy = %3D zV-9 %3D -69

A:

Q: 1.

A: Given,  ∫1+∞1xdx

Q: If f(x) = V19+r² dt , find f'(3).

A:

Q: sin 201/1+ 2 sin 0/cos? 0 (sec² 0 – 1) d0 1. |

A: To find the following antiderivative.∫sin 2θ1+2 sin θcos2 θ sec2 θ-1 dθ