= (7, –2) am

Q: ..... .... .............. ............... The values y (in billions of dollars) of U.S. currency in…

A: topic- inequality

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: an=n45nlimn→∞ an+1an=limn→∞ (n+1)4 5n5n+1 n4=limn→∞ (n+1)4 5nn4  5n 5

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A:

Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative…

A: Given :

Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

A:

Q: Evaluate the definite integral. e18i i+ i- (*" - 1) j + k O (el" - 1) i - (e" - 1) j + - (e" - 1) +…

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

Q: 4. Evaluate •5 (4 – 2.x) dx - 2,

A: topic - definite integral

Q: x++ dx 1.

A:

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A:

Q: Evaluate the line integral -ydx+ xdy along the curve C :y = 12x from (12, 12) to (0,0). NOTE: Enter…

A: In this question , we can find the given line integral.

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

Q: 2e- 2 Consider the indefinite integral dz: (e- 27 + 3) This can be transformed into a basic integral…

A:

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: QUESTION 10 Suppose the demand function D(x) = - 3x+7 and supply function S(x) =2x+2. Find producer…

A:

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: topic - law of sines

Q: y" + y' – 2y = 2t, y(0) = 0, y'(0) = 1

A:

Q: 8n 4n2 n = 1 + 1 f(x) = converges O diverges

A: Given query is to find integral converges or diverges.

Q: Evaluate the line integral |-ydx + xdy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

A:

Q: 7

A: We have to find out

Q: 3 dy – sin-! 3y -12+C %3D sin-1. 4- 9y 3

A:

Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

A:

Q: if X-? yk 2 2 3D5 リ+1 yX Find

A:

Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

A:

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

A:

Q: The following differential equation is exact. Find the general solution. (7x + 6y) dx + (6x − 8y3)…

A:

Q: 1) Use a double integral to find the area of the region enclosed by y= x² and y = 2x.

A:

Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

A:

Q: Evaluate the double integral using single applications of Simpson's 1/3 rule 2 (x2. 3y2 + xy³) dx dy…

A:

Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: An object moves along a line, where its velocity function is as described by the graph below. What…

A: answer is in next step

Q: the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

A:

Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

A:

Q: L 32 da = 65 %3D Select one: O True O False A2Vadx = 104/3 Select one: O True O False S (+4)(a+3)da…

A:

Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: You are going to build a rectangular shed. You will put four walls around the shed and leave an open…

A:

Q: Find the partial derivative. 6. z = (x² + 4x – 2y)° dz

A: We have to find out derivative

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

Q: 2. Find S +l" dudy by first snitching the order of integration 4

A:

Q: Find div F and curl F if F(x, y, z) = 9y%z®i – 4x°z1°j – 5xy°k. - -

A:

Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: Evaluate the line integral g. y² dx – x²dy, where Cis the positively oriented circle of radius 2…

A:

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

A:

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

A: see below the answer and explanation

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve).…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

A: