C. Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontal %3D D. Let x and y be functions of time t that are related by the equation y = 4xy +1. At dx at time t=6 dt dy time t=6, y=2 and = 7. Find dt 3. Consider the curve given by y2 = 4xy +1. %3D dy A. Find dx B. Find all points on the curve where the tangent line to the curve has slope 2.

Q: Make an application problem regarding equations (algebra) Follow these steps - Question - What is…

A: To make an application problem regarding equations (algebra).To follow the following…

Q: 1/5 Find the minimum and maximum values of the function y = (t – 312)" on the interval [-1,2] by…

A:

Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

A:

Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: Scos | cos 3x cos 4x dx :

A:

Q: Differentiate exp(sec(x^2)

A: Given query is to find the derivative of the expression.

Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

A: Given ∫ln(x+x2) dxTo evaluate the integral using Byparts rule:

Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

A:

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

A:

Q: 12" +2 2 (- 1)"-b,. where b = n=1 (n+2) 14"+3 a) Find and simplify bn+1 bn b) Test the given series…

A:

Q: a line is parallel to the vector 2i + 7j+ 8k and passes through the point P = (3,6, 6), then the…

A: Given query is to find the equation of the line.

Q: 14. Find X(s), given x" + 16x = t, x(0) = 0, x'(0) = 0.

A: answer is in next step

Q: Evaluate the indefinite integral solve for two cases csc² 20 cot 20 de

A:

Q: Compute the given integral. fain' sin" x cos xdx +C

A:

Q: Evaluate the integrals in the following questions using integration by parts For 0 cos T0 de

A: By Parts Rule: ∫u(x)v(x) dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: f(x)dx = 12, g(x)dx = 6, f(x)dx = 6, and g(x)dx = 2. Evaluate the following integrals. Saman = 2…

A: Given:       ∫27f(x)dx=12 , ∫27g(x)dx=6       ∫67f(x)dx=6 , ∫26g(x)dx=2 we can write as…

Q: A curve is defined implicitly by the equation ax + by2=r2 Given that a=20, b=2 and r=7, find the…

A: We have to find the solution.

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: 4. S Væ*dx

A:

Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

A:

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: dy at x = 2 for the function below. dx Evaluate у%3D — 2и + 4и + 9, where u %3D 4x2 — бх + 5

A: Given that,    y=-2u3+4u+9, where u=4x2-6x+5

Q: The series 1 Σ 2 (-1) "-1. 00 n=1 1.8 is absolutely convergent. Select one: O True O False

A:

Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: Obtain the general solution unless otherwise instructed 2. у" — у' — х — 0 SUMMARY OF ANSWERS 2. Yc…

A:

Q: Give an example of a differential equation  and  classify according to   order, degree ,linearity…

A: answer is in next step

Q: dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

A:

Q: -3 1 4 What is the transpose of the matrix 5 2-1

A: Transpose of a matrix can be found by interchanging the rows into columns or columns into rows.

Q: Which of the following is false? O none 3 n The series >, is divergent. 6+n n=1 00 1 The series is…

A:

Q: Use sigma notation to write the following left Riemann sum. Then, evaluate the left Riemann sum…

A:

Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

A: We have to tell whether it is true or false

Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

A:

Q: So 0 cos r0 do

A:

Q: Find lim r0+ sin x 1- sin x 6. Find lim CSc x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: (y In a In y) dr + dy = 0 O In In y| + x Inx +x = C O In y = Ce" r* O y = eCe*z* O y = eCe*z ts)

A:

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A:

Q: The following series is an alternating serie

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

A:

Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

A:

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: sin III. Use Squeeze Theorem to evaluate lim In r x→0+

A: This is a problem related to limit and continuity of the function. Based on the general formula and…

Q: You make $8.45 an h before taxes? a) $278.85 b) $295.75 c) $302.07 d) $338.00

A: Topic:- algebra

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

A:

Q: x2 +y? +z? - 4x + 8y – 2z = - 12

A:

Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: a) Test the series EN7-1)" for n =1 convergence or divergence (show all your works) b) Test the…

A: We have to find convergence test

Q: p1 Use a straightedge to draw line

A: answer is in next step