Determine whether the ordered pair is a solution of the system. 6) 5x-7y=-21; (7,8) 4x +9y=97

Q: Question 11 > Suppose f(x)=√√. Give the function for each of the following transformations. The…

A:

Q: [2,

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Consider the curve C of equation: (x² + 2y + y²)² = 4(x² + y²). From the following options choose…

A:

Q: the solids generated by revolving the region bounded by the graphs of the equations about the given…

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Evualate the vector valued function

Q: A 10,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres…

A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

Q: 14. 2x²y-x³y' = y³

A: 2x2y-x3y' =y3

Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t) ||³ = r(t) = e³ti + e-tj to find k(t).

A: By using the formula kt=r't×r''tr't3 to find kt.rt=e3t i+e-t j

Q: Homework 11 Parametric: Problem 5 Given ze and y = tet, find the following derivatives as functions…

A:

Q: For F(x, y, z) = y²z³ i + 2xyz³ j + 3xy²z² k, determine whether or not the vector If it is…

A: Let's find.

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f(x) X…

A: According to the guidelines, I am answering first three subparts. Please repost the remaining.…

Q: A car braked with a constant deceleration of 16 ft/s², producing skid marks measuring 50 ft before…

A:

Q: Show your work please

A:

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

A:

Q: 2. Moderate Find the inverse Laplace transform of s² +8s +27 (s + 1)(s2 + 4s +13)

A: To find the inverse Laplace transform of s2+8s+27s+1s2+4s+13.

Q: Solve the differential equation: * (D² + 1)y = tan x

A:

Q: :-In an oil refinery, a storage tank contains 200 gal of gasoline that initially has 100 Ib of an…

A:

Q: Finding Points of Inflection In Exercises 37-42, find any points of inflection and discuss the…

A:

Q: Find f. f(0) = f"(0) = sin(0) + cos(8), cos(8), f(0) = 1, f '(0) = 3

A:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: To find the domain of the following vector‐valued function.rt=25-t2 i+t2 j-4t k

Q: Let f(x)=8+ √6x-3. Find f¹(z). f-¹(x) =

A:

Q: A company that sells memory chips for computers established the price-demand and cost functions as:…

A:

Q: r² + 2xy + 4y² = 12, (2, 1) (ellipse) Description: Derivative Slope € O and Equation of tangent A…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

A:

Q: Find the derivative of f(x) =de 22 Of(x) e (e-2x) ²-e -2x O f'(x)=x²e-2 (-2) O (E) None of these O…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Find the equations of the lines tangent and normal to the curve guen by para- metric equations at +…

A:

Q: по + y³ =1, Dzy 2. = .:3 _ x+2y x-2y 3. : . + Злаb2, у" У X sla .

A: We can solve this as follows:

Q: Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i + 7 sin(t)j; t = 3 T() = N() =

A:

Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: Find r'(t), r"(t), r'(t) ・r(t), and r(t) × r"(t). r(t) = 2t2i - 2tj + 2 13배 (a) r'(t) (b) r"(t) (c)…

A:

Q: Consider the following function. 13 f(x) = - In x 13 (a) Find the critical numbers of f. (Enter your…

A:

Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 T (7) 2 ㅠ N(₁) = [

A:

Q: 8 765 4 3 2 1 -7-6-5-4-3-2 4 -2- -3 Clear All Draw: 4 -3 -6- 1 2 3 4 5 6 7 8

A:

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: = fºx R/2 Given that evaluate - b² = g², use this result and the fact that 2 (6 cos(x) - 6x) dx. x…

A:

Q: alyze and sketch a graph of the function. Label any intercepts, relative extrema, y = x² - 8x + 37…

A:

Q: Use logarithmic differentiation to find dy/dx. y = (4 + x)5/x dy dx II

A:

Q: Write the given (total) area as an integral. • The area above the x − axis and below y = 4 − x²

A:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Let, the first number x and second number y. Given that the sum of first number squared ( x2 )  and…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The detailed solution is given below Thank you

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A:

Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

A:

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: The given integral is x2/3 +8 limit from 1 to 2.

Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

A:

Q: of a rectangle.

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. +9 So. || 4 + 12² || ll ti 247.18 dt =…

A: