Find the instantaneous rate of change for the function at the given value. f(x) = x² + 5x at x = -1 The instantaneous rate of change at x = -1 is

Q: Determine the set of points at which the function is continuous  F(x,y)= x2+y2+1/x2+y2-1

A: Given the function  F(x,y) = ( x2 + y2 +1) /(x2 + y2 -1)  We need to find set of points wher this is…

Q: 1. Let A = -1+2j+k D = -5t+3j - k Find the following: a) 2A C + 3D. B B = i +4j+5k E = -3j+k C = 5i-…

A: This question can be solved using the concepts of vector.

Q: 5 Create two different infinite geometric series that each have a sum of 8.

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Q: Z = xexy2, Find zx when x = 1; y = −1 a. 2e b. e ܩ C. d. e² 2/2

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Q: Find all solutions of the equation sin²x = 2 sin x + 3. The answer is A + Bk where k is any integer…

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: The given equation of function  is f(x)=-4x2+8x+3 We have to find the critical point And find the…

Q: Consider the graph of f(x) and its tangent line at x = 1. Determine each of the following: (Use a…

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Q: Find the domain and range of the function graphed below. -5 -4 -3 -2 Domain: Range: 7 3 24 74 -1 -2…

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Q: Solve the equation. Write numbers using integers or simplified fractions. 8 cos2x=4√√/2 Part: 0/2…

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Q: Sales of a new model of compact disc player are approximated by the function S(x) = 1000 - 800e-x,…

A: Concept used: To find the given conditions substitute values to the function S(x)=1000-800e-x To…

Q: Solve - 5 sin(x) – 4 cos(x) = - 4 The smallest non-negative radian solution is: The next smallest…

A: Please see the below picture for detailed solution.

Q: Evaluate y' for the given functions and simplify your answers a.y = sin(6x - 5) sin (6x + 5)

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Q: 1. A cylindrical water tank with depth of 4 feet and radius of 8 feet has one circular base on the…

A: We need to find work.

Q: Find dy using implicit differentiation dx iclx = 10

A: xy=10

Q: For Exercises 71-74, simplify the expression. Assume that all variable expressions represent…

A: Given data:- (71); 5k (72); 5k4 (73); 1510-7 (74);  x-4x+2

Q: In 2010, a patient paid $700 per day for a semiprivate hospital room and $1900 for an appendectomy…

A: Given: Per day charge for a semiprivate hospital room =$700 Charge for an appendectomy operation…

Q: Find all solutions of the equation 2 sin²x - cos x 2 = : 1 in the interval [0, 2π) with ₁ < x2 < X3.…

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Q: XL - Eλ = (x)6 ^ = (x),6

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Q: For Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Compute the derivative of f(x) =x^(1/3) + 8  using the definition of derivative.

A: Solution:

Q: Find the average rate of change of the function over the given interval. y=√√/5x+1; between x = 7…

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

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Q: Simplify completely. Write your answer using positive exponents only: (2w5p¹v) (8w-8y¹5)

A: Given query is to simplify the expression.

Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 5 4 Clear All Draw: 2 1 -2 -4 11 2 3 4…

A: given line pass through (1,0) and (0,-2)

Q: Solve the given first order ordinary differential equation. dx sec y dy 1+tan y +x tan y-

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 5x8 dy = y =

A: Let y(x)=u(x)v(x) Then y'(x)=v(x)*u'(x)-u(x)*v'(x)v(x)2, u'(x)=du(x)/dx, v'(x)=dv(x)/dx

Q: Solve the quadratic equation 3x2 - 6x + 2 = 0.

A: Given data:- The given quadratic equation, 3x2-6x+2=0

Q: 3. Find the exact area of the surface resulting from rotating y = √1 + ex from x = 0 to x = 1 about…

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Q: Solve the following DE: (r+sin-cose) dr+r(sin+cose)de=0 O r²+r(sin+cos) = C Or+2r²(sin-cose) = C O…

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Q: Use an appropriate Pythagorean identity to find the Indicated value. Write your answer as a…

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Q: Identify the open intervals on which the graph below is increasing and decreasing. 8 7 6 4 3 2 N -4…

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Q: A gas company will pay a property owner $5000 or the right to drill on his land for natural gas and…

A: Given: Amount paid for the right to drill: $5000 Price paid for each thousand cubic feet of gas:…

Q: For the function y a. Find f'(2) df dx = f-1(y) c. Find b. Find a formula for x = = = at x = 2. 1…

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Q: For the given function, find (a) the equation of the secant line through the points where x has the…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is: fx,y,z=xyz And the constraint is: x2+y2+z2=243   ...(1) Let,…

Q: B. 65 KN 22. Find the value of f A. 0 B. 1 dx Secx if x= 270 degree

A: Answer is in step 2.

Q: 3. Consider the vector field F = (y cos(xy), x cos(xy), — sin(z)) and the curve C parametrise by…

A: Given F=y cos(yx), x cos(yx), -sin z

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

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

Q: For the given function, determine each of the following: 1. f(1) = 5 Ay M −5 −4 −3 −2 −1₁ -2 -3 -4…

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Q: (x²-3y2) dx + 2xy dy =o

A: To solve the following differential equation.x2-3y2 dx+2xy dy=0

Q: An equation of an ellipse is given. (a) Write the equation of the ellipse in standard form. (b)…

A: Solution: 25x2+16y2+64y+63=0 The equation of an ellipse is \frac{\left(x - h\right)^{2}}{a^{2}} +…

Q: Use the method of disks, washers, or shells to find the volume of the solid obtained by rotating the…

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Q: Set g(x)= Question 1 g'(0) = = y = arctan(x)f(x). Suppose f(0) = 5 and lim h→0 f(0 + h) - f(0) h = 3…

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Q: Which of the following is a differential equation? A. dx dy B. (2x + y) dy + 5 = 0 D. yxdx xo C. ay…

A: A differential equation  is an equation that contains the derivative of an unknown function.

Q: 2x³ + 3xy + 2yz – z², Solve for Wx + Wy + W= when x = 1; y = 2; z = 3 a. 18 b. 17 c. 19 d. 21

A: Given, w=2x3+3xy+2yz-z2

Q: Suppose Zab, Zbc, and Zed form a linear triple. Show that their measures add up to 180.

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Q: - y = arc cotx + arc csc√1 + x²

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Q: Solve the given initial-value problem. y(x) = y"" + 18y" + 81y' = 0, y(0) = 0, y'(0) = 1, y'(0) = -2

A: The given differential equation is: y'''+18y''+81y'=0 So, we can also write as: D3+18D2+81Dy=0 The…

Q: Write an equation for the function graphed below. The y intercept is at 4 (0, -1/1) 3 -7 -6 -5 -4 -3…

A: Concept: A vertical asymptote is a line that runs vertically and guides the graph of the function…

Q: Consider the following. The ellipsoid 9x² + 2y2 + z² = 98 intersects the plane y = 2 in an ellipse.…

A: Here, the given equation of ellipsoid is: 9x2+2y2+z2=98...(1) which intersects the plane y=2 in an…