Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz), Po(0,0,0), A=i+5j +5k (DA¹) (0,0,0) (Type an exact answer, using radicals as needed.)

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y)=x² + xy + y² - 6x +7…

A:

Q: The sides of a square carpet is measured at 4 ft. Estimate using the Linear Approximation the…

A:

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: f(x) = -(x − 1)² +4 Use the equation of the function to find each characteristic of the function.…

A: Given:        fx=-x-12+4 y-intercept:      To get y-intercept put x=0       y=-0-12+4…

Q: Which point is the center of the circle * 4x² + 4y² = 4y - 8x + 5? (-1,-/-) (1,-1) 2 2 Option 1…

A: This question is based on general equation of circle.

Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: (π/4 sec4x dx

A:

Q: 7. f(x)= (4x²-3x5)7

A:

Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

A:

Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

A:

Q: S x cos √x² +4 V √x² + 4 dx

A:

Q: 8.) y' = x-y+5 x+y-l

A: To solve the differential equation.

Q: Consider the differential equation y' = y 2 - 4y + 3. Which of the following could be a graph of…

A:

Q: dy Assuming - 9x3 + 7y2 – 2xy = 0 defines y as a differentiable function of x, use the theorem dx =…

A:

Q: The interval of convergence of the series Σ(√n+1-√√n) (x+2)" is given by A=0 A-3≤x<-1. OB-3<x≤-1.…

A:

Q: 2. Consider the spherical equation given by p = 4 cos 0 sino. Determine its corre- sponding equation…

A:

Q: H.W (3) 1-f(t)=te"; 2-f(t)=3+t² + cos2t. 4-f(t)=e¹.t³. 3-f(t)=e" sin 3t; 5-f(t) = (2t+3e²¹ +4sin…

A:

Q: Given f and g are continuous functions and f(x) dx = -3 and g(x) dx = 5. What is [3f(x) + 2g(x)] dx…

A:

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A:

Q: 4 3 a 2b0 Matrix A is defined as A = 9). where a, b, c E R. If A = A-¹, C 0 1 then find the value of…

A:

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

A:

Q: 12

A:

Q: (ارفق الاجابة) The eigen value of matrix [1] O 1+i, 1-i O 1+i, i 0 1,-1 1-i, 1-i *

A: On solving this we will get

Q: Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3– f(t)=sinh(2t); 5-cosh…

A: We have to solve given Questions.

Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Area region = [ f(x) dx + √ f(x) dx +…

A:

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. [(x²-3x) dx…

A: Here, we have given a definite integral and we have to evaluate it we have to find what amount of…

Q: HW.1 X y 58 Find y. (10) for the following data in the below table. 6 9 14 17 10

A: We will use Lagrange's Interpolating polynomial to find y10.

Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

A:

Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A:

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: find the final value for the 3 z³ +8 F(z) = = 23-22

A: Given; F(z)=Z^3+8/Z^3-Z^2 We have to find final value

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 7x and dx…

A:

Q: Question 25 : A street light is at the top of a 19 ft tall pole. A woman 5.5 ft tall walks away from…

A:

Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

A:

Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Is the answer correct?

A:

Q: Question 8 The value of x for which the series Σ QAX<2 or 4<x. OB2<x<3 or 3 <x ≤ 4. OC. None of the…

A:

Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x <2 or 4<x. C. None of the choices in…

A:

Q: Where is f(a) not continuous?

A: Given:

Q: x² 8. (x) tan 3x+cot 3x 9.f(x) = 2 sin 4x cos 4x =

A:

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: · ] x = 1 dA over a square region Using the transformations u=x-y and v=x+y to evaluate Rx+y with…

A:

Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

Q: Consider the vector-valued function In(2t + 1) sin t R(t) = î+ t t Redefine (t) such that it is…

A: we say the R(t)  is continuous at t=0  if limt→0 R→(t)= R(0)

Q: 6) (-2√√2, 2√2) 8) (2 3 3√3 2' 2 10) (-2,-2√3)

A:

Q: Determine the value of k for which Assume that k is a positive number. k k 1/² 2/² | = 4 2k = 0

A: Given determinant of the 2 by 2 matrix is 0