C- for the function below, the domain and the range is respectively y = y=√16-x²

Q: Determine L-1. 2s² +10s (2s²-20s+58) (s+1)

A:

Q: The area of the region between the x-axis and the graph of the function shown below and the lines…

A: First I have drawn the region between given curve and lines and then find its bounded region,…

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

A:

Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) Ins

A: To find all of the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A:

Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

Q: How do you find the eccentricity of an ellipse for question 4? Please explain in detail your answer.

A: Here, the given equation of the ellipse is: (x+3)216+(y-5)225=1 Comparing the equation with…

Q: Let f(x,y,z) = zIn(x³ycos(z)), find Z 3x² O In(x3ycos(z)) - ztan(z) 0 2 Y о 3z X af ila

A:

Q: Additional Activities What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x²…

A:

Q: (c) Graph f(x) = sinx, 0≤x≤ 2π and also graph f-¹(x).

A:

Q: INFINITE SERIES H.W 1. Test the convergence and divergence of the following series, find the sum of…

A:

Q: Additional Activities What function will you differentiate to get each function? 3. g(t) = -3t2 +…

A:

Q: dy dx x3 2+y²

A:

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Find the area of the curve: r² = 16 cos 20

A:

Q: Use the method of variation of parameters to find a particular solution of the following…

A:

Q: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

A: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

Q: Solve the following initial value problem. y+y"=6x+8e; y(0) = 1, y'(0) = 0, y''(0) = 1 The desired…

A:

Q: a. b. C. [(x² + 2x³ + 4x + 10) dx [ 6xe*² dx [ In x dx

A:

Q: Find the derivative of s(q) = 15 cos q sin q. s'(q) =

A:

Q: Find the exact value of the trigonometric function of using the given format: 5п Let then is in Q…

A:

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A: The given series is ∑n=1∞3n51-n

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: 16 sin²x cos²x dx

A:

Q: 2x+1 x²-7dx 1

A:

Q: Find a particular solution yp of the following equation. Primes denote the derivatives with respect…

A:

Q: 1505 152 maxa 081 din 3a. Find the coordinates of the relative maximum and relative minimum of the…

A: Solve the following

Q: How much work is required to pump all the water over the top of a full cylindrical tank that is 2 m…

A:

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A:

Q: B) The Value of the integration for the below function shown is : sec²2xdx = [sec²2x+c] tan (2x)+c]…

A: To find out the integration.

Q: 3x²y dx − (x³ + y³)dy = 0,_y(1) = −2 -2

A: See the details solution in below

Q: the area of the region between the x-axis and the graph of the functionshern X = 2 X=1 below and the…

A:

Q: Use the given transformation to evaluate the integral. J (8x + 8y) dA, where R is the parallelogram…

A:

Q: 2 So Adx 4-x

A: We can find the answer as below.

Q: Find dy dx dy dx if y= x³ + 7x + 5 2² +6

A:

Q: Describe the domain of the function. 1 g(x) = √8-x The domain of the function consists of all real…

A:

Q: smal 150 125mxa 081 dia! 3a. Find the coordinates of the relative maximum and relative minimum of…

A:

Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: Carlos invested $70,000.00 for 5 years at 8.50% compounded monthly. Calculate the future value of…

A:

Q: ylor Polynomials: -- Find the 3rd order Taylor Polynomial for f(x) x centered at a = 2.

A:

Q: Q.2A) Evaluation: If Z = x.n.f (*), then show that: x. z₁+y. Zy = z

A:

Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

A:

Q: Sy² sin(3y³ + 4) dy

A:

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A:

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

A: To solve the given differential equation

Q: Problem Solving 1. For the following problems, determine the area of the region between the two…

A: Solved below.

Q: Solve the following initial value problem. y" - 2y' + 2y = 7x+1; y(0)=3, y'(0) = 0 The solution is…

A: We can solve the differential equation.

Q: The coefficient of (x - 1)5 in the Taylor series for a In x centered at x=1 is Hint: you can't do…

A: This question can be solved using the concept of expansion of Taylor series centered at x=c.