In Exercises 13-22, find equations of the tangent plane and normal line to the graph of the given function at the point with specified values of x and y. -13. ƒ(x, y) = x² − y² at (−2, 1) x-y /1

Q: Sketch the graph of the following function. List the coordinates of where extrema or points of…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: We need to find Area.

Q: 15. The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

A:

Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

Q: 15. f(x)=2x²(x+3) (x-2) a. b. C f(x)= 16.

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 15. Solve the following system of equations using the matrix method. Show your work. Express your…

A: We have to solve the given system of equations.

Q: the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ---------by…

A: Topic:- solution of differential equations

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

A:

Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

A:

Q: Simplify and represent the following complex number in the polar coordinates. 1+j 2-j

A:

Q: Eliminate the arbitrary constant. + c₂2e²x y=c₂₁e 1 A B C D -X y"'-y'-2x = 0 y"-y'-2y=0 2y"-y'-2x=0…

A: The given equation is: y=c1e-x+c2e2x...(1) To eliminate the constants c1 &amp; c2.

Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

A:

Q: 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0   2. Complete the graph using the…

A: Given problems:- 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0 2. Complete the…

Q: (3) Find explicit particular solutions of the initial value problems below. (a) + 1 = 2y, y(1) = 1.…

A:

Q: Can you go into more detail? Why is the answer (4n+1)pi/2?

A: We want to find domain of the function.

Q: Consider the following matrix. +88 [148 | Find the determinant of the matrix. Find the values of for…

A: Find the determinant and then equate it to zero.

Q: Prove that lim x → 0+ (√x [1 + sin2( 2π/x )]) = 0 (using the squeeze theorem)

A:

Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A: The given equations are; x1+x2+4x3+4x4-8z=21 2x1+3x2+8x3+8x4-14z=46 x1+5x3+4x4-12z=18…

Q: I. ELIMINATION OF ARBITRARY CONSTANTS. For each problem, eliminate the arbitrary constant/s. Box all…

A:

Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11.…

A:

Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), f(x) = 5x - 9 g(x) = 7 - 6x (a) f(x) + g(x) (b) f(x) -…

A:

Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

A:

Q: 1) GIVEN: FID: X, 9, X 9 3

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: 25. lim h→0 (x+h)² +4(x+h) —x²− 4 at h (A) x³ + x4 (B) x² + 4x (C) 2x+4 (D) nonexistent

A:

Q: 17. For an object whose velocity, in ft/sec is given by v(t) = 2sin(t), what is its distance, in…

A:

Q: 5 db • ( 0 ) ² + 7 ( 40 ) + 6² - 6 ² - P 5 7 dp b dp4 =

A: To determine the unknown function and the independent variable in the following differential…

Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

A:

Q: (x, y) = x+2 8 -1 5 2y 2x 9-4 y + 2, 11 2x + 6 5 9 8 6-8 in -4 5

A:

Q: 1-28, evaluate the indicated limit, if it exists. Assume sin x that lim L I sinx 1-0 tan x 9. lim

A: We need to evaluate the following limit if exists.

Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

A:

Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: elimination of arbitrary constant хзуч- 16x2 уб +30c Fo

A: Need to eliminate the arbitrary constant c.

Q: 1. The slope of the perpendicular line 3x+6y=2 is a. m' = 2 b. m² d. m' = -2 m' = 2 2. The equation…

A:

Q: 24. The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the…

A:

Q: The following table gives the number II(t), in millions, of adult Americans with Internet access in…

A: NOTE: Refresh your page if you can't see any equations. . t 2000 2003 2009 I 101 160 190 .…

Q: utility with a TABLE feature. Use the table to determine at which point the graph of Y₂ crosses the…

A: Topic:- calculus

Q: 1. Find the following limits proving whether they exist or do not exist x² yey lim A) (x,y) →(0,0)…

A: Solve the following

Q: Question 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: Evaluate t9e²t5 dt.

A:

Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

A:

Q: Question 4 What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? Ⓡ…

A:

Q: plane

A:

Q: 17. Determine the equation f(x) = cosx as a sin function.

A:

Q: Consider the following. X-4 f(x) x + 5x - 36 Describe the interval(s) on which the function is…

A: Let's solve continuity and discontinuities of given function.

Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Step 4 now find the time when v=0 v=0 t² -€/ - 2 t (10-²) 10t - 10 here t=0 is the starting point so…

A: Solve the following

Q: lim Cos (40)-1 846 Sin (18)

A: NOTE: Refresh your page if you can't see any equations. . use L'Hopital's rule