Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No Response) f (x, y) = (No Response) f (6, -6)= (No Response) f,(6, -6) = (No Response)

Q: A hemispherical dome has a diameter of 700 m. A search light was placed at a point A located at the…

A: The solution is given below

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.

Q: Find the general solution, y(t), which solves the problem below, by the method of integrating…

A:

Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

A:

Q: c) x² + xy = 2x² +1. d) = 2² sin(3r) +2. d

A:

Q: Solve the given initial-value problem. y" + 6y'7y= 11e²x, y(0) = 1, y'(0) = 1

A: Given :y''+6y'-7y=11e2x

Q: 2. Approximate 64.1 by using linearization and use a calculator to compute the percentage error.

A: Given :64.13

Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 2x²y…

A:

Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -2 -1 f'(x) 1 2 3…

A: According to Bartleby guidelines I can only answer the first three sub questions of the given…

Q: The graph of the *derivative* of F is given below. 0 -1 1 2 F'(x) Given that F(0) = -4, find F(6). 3…

A: Find function f by integrating given function and then eliminate value of constants

Q: find the unit vector in the direction of u u=

A: find the unit vector in the direction of u u=<-4,-1,-3>

Q: Solve the given initial-value problem. y(x) = = y" + 6y'7y - 11e2x, y(0) = 1, y'(0) = 1 = -7.x 7e…

A:

Q: Test the series below for convergence using the Ratio Test. Σ n=1 n! The limit of the ratio test…

A:

Q: Evaluate sin'0 cos de Ꮎ

A:

Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A:

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Find the critical points of the given function. a) f(x) = 2/3+¹/3+x−2/3

A: Since multiple questions are asked, I am answering first question

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

A:

Q: Find and simplify the function values. f(x, y) = xy

A:

Q: dp dt Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

A:

Q: In a classic video game, balloons travel from left to right along a linear path that passes through…

A: Given equation is :   x-12+y2= 100 ---- equation of circley=3x+7 --------equation of line

Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A) 7 5 A

A: We have to find the exact value of the trignometric angle A, csc(A)=? Since ABC is right triangle,…

Q: Select the correct steps when differentiating from first principles. O a. O b. O C. O d. lim 0+x lim…

A:

Q: Simplify. 2 sec 2 X 2 - 1

A:

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A:

Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.

A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below.   As we know that;…

Q: Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

A: Given that cosx=12. We have to find the value of cosx+π.

Q: Use a product-to-sum identity to rewrite the expression. 5cos v sin 5v

A:

Q: d.) s 2x+3 x243x-1 dx

A:

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

A:

Q: he following represents the dor 4- x² - y² ? (C) y x Y X

A: We have to choose the correct option from the given options according to the given information

Q: Discuss the topic from algebra you used in completing this exercise. Give an example of a business…

A: Concept: Algebra: The area of mathematics known as algebra aids in the representation of…

Q: 5x3+ 40x² + 94x - 1 (x² + 8x + 17)² 1³ dx

A:

Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: The table provides various values, including select minimums and maximums, of a particular cosine…

A:

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

A:

Q: • 5x²+1 (t²-t) dx F(x) =

A:

Q: The owner of an apartment tower rents out each of her 250 apartments for the sum of $300 per month.…

A:

Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

A:

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: lim f(x) = 5 and_lim_f(x)=5, but f(3) does not exist. X-3 X-3* What can you say about lim f(x)? X-3…

A: