For the given function find dy/dx. = x + 2 %3D O y = 1-y-3x2-4x %3D 3y2 +2+2 O y = 1-a+3y-4x 322-y+2 O f = 1-y+322-4x 3y2-a+2 %3D 1-a-3y-4a 3x +y+2

Q: (ar3+ bx2+ cx) dr =2b x2dx where a,b and c are constana A) True

A:

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

A:

Q: Calculus Use newtons method with the specified initial approximation x1 to find x3 the third…

A: Given

Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯-" ) at the point where…

A:

Q: When the eigenvalues of a b A = 0 d are 2, = 0 and 2, = 2, what are the possible values of a and d?…

A: When the eigen values of A=ab0dare λ1=0, and λ2=2, then to determine the possible values of a and d.…

Q: Evaluate the integral / (4x + 12y)dx + (15x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwis p…

A:

Q: The graph of the function f(x) = sin(x+ 8) is shown along with the points (– 8, f( – 8)) and (– 7,…

A: (1) f(x)=sin(x+8)f'(x)=cos(x+8)slope =f'(-8)=cos(0)=1equation of tangent at…

Q: No new data to save

A:

Q: Evaluate the integral. V3/2 dr V1- r2 |

A: We know, ∫dx1-x2=sin-1(x)

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

A:

Q: Question 2 Determine the derivative of sec(x) tan(x) O sec z + sec z tan? x 2 sec? z tan x sec x O…

A:

Q: + 3x² 4)dx

A: Given query is to find the value of the integral.

Q: 12 and sin 0 < 0, find (Please show the solution.) 5 If tan 0 = %3D - (a) sin 20 (b) cos 20 (c) tan…

A:

Q: 9. 5+ 8 7- 6- 3 5 4 2 g(x) 2 h(x) 1 1 1 2 3 x-values 4 5 1 2 3 x-values 4 If f(x) = g(h(x)), then…

A: Explanation of the answer is as follows

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0,0). NOTE:…

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

A:

Q: -dx is an improper integral. A) True B) False

A:

Q: A A A A A A A A A A AA A A A A A A A A A A A A A A A AAA 6. What is the sum of the series TC + ... +…

A:

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

A:

Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

A:

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (V2 - V1, Vị + V2,…

A:

Q: ф бху dх + 2ху dy %3D i

A:

Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

A:

Q: 23 + 7x + 9 Find dy: y = 1² + 4 dy :

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 3…

A:

Q: 6. An airplane is flying at 800 km on a bearing of [N 20° W] from Toronto to Sault St. M Then from…

A: We have to draw vector diagram and find displacement.

Q: Use series to approximate the value of the integral with an error of magnitude less than 10-8. 0.19…

A: We will use atleast 8 digits in every value which eventually lead to the error less than 10-8.

Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

A:

Q: 1. The resultant of two forces has a magnitude of 55 N in the southeast direction. What is the…

A:

Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

A:

Q: 4) Compare your answers

A: answer is in next step

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

A:

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

A:

Q: Use the below graph of f(x) defined on the interval (0,12] to answer 4 through #9. 4- 11 4) Over…

A:

Q: Solve the seperable differential equation 10yy' = x. Use the following initial condition: y(10) = 7.…

A:

Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

A:

Q: Determine the vector field of F. F(x, y) = yi - xj

A:

Q: Find V· (V × F) if F(x, y, z) = 4 sin ci + 7 cos(9x – 10y)j + 10zk. V · (V × F) =

A: Given F(x,y,z)=4sinx i+7cos(9x-10y) j+10z kTo find∇·(∇×F) first we need to find ∇×Fwe know that ∇×F…

Q: Solve the system of differential equations x' 60x + 126y l y' = 28x + 59y - x(0) = – 31, y(0) = – 14…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: af(x, y) If f(x, y, z) = , then is equal to dz

A: Given,  f(x,y,z)=x-zy-z

Q: Question 10 sinh a For y= V find y' at x = In2 e* Oy = 0 Oy = 12 Oy = 2/6 Oy =

A:

Q: Ise Newton's method with the specified initial approximation x, to find x, the third approximation…

A: Solve the following

Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

A: