3n° + 2n³ - 7 {a,}== 7n' + 3п +4

Q: Evaluate the definite integral. + ej+ dt - 1) i - (e" - 1) j +k O e? i+ (e-1-1) j+국k 2.

A:

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, 00).…

A:

Q: show

A: As per the guidelines we can solve 3 parts only.

Q: 9. (D² - 1)y = 2/(e – e-*).

A:

Q: Use a truth table to determine whether the two statements are equivalent. (p v q) a r and p v (q A…

A: Here we have to find the truth table.

Q: 3) use implict differentiation to finol dd et the point (8.1). 4 xy+ slny=32 Anywery: 28 a) 37 り 36…

A:

Q: dx x?(4x++9)Z

A: Integration are simplyfied..

Q: Problem 3. at a speed of 60 cm/s. Suppose the function g models the radius as a function of time t…

A:

Q: S(1 + tanx)² dx

A:

Q: Change the Cartesian integral to polar coordinate | +y*)dx dy

A:

Q: Find V. (F x G), if F(x, y, z) = 14.ci + j+ 13yk and G(x, y, z) = xi + yj – zk. V· (F × G) :

A: Vector

Q: 10 %3D1

A: Formula Given

Q: A plane is given by the equation 5x − 8y + 4z + 9 = 0 a. Find 3 points on the plane b. Find a…

A:

Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: Verify that the conclusion of Clairaut's theorem holds, that is, u, Uxy = "yx' u = x'y8 – y? With u…

A:

Q: Use the formula k(t) = |r(t) × r"(t)|| ||r(t)||° to find «(t). r(t) = 8 cos(7t)i+ 8 sin(7t)j + 3tk…

A:

Q: Finding the length of a curve. Arc length for y = f(x). Let f(z) be a smooth function over the…

A: To find the arc length of given function.

Q: integral

A: We will solve the definite integral.

Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value.

A: Topic = Algebra x=3

Q: Find div F and curl F if F(x, y, z) = 17y*z4i – 3x°z®j – 3xy°k. - div F= curl F=

A:

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

A:

Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.

Q: (D² +1)y = sec x. %3D

A:

Q: 2n+3 {a,} = 7n- 2 7n+4)

A:

Q: S etanx sec²x dx

A:

Q: For ​f(x)=x+5 and ​g(x)=3x+1​, find the following functions.   a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

A: Topic = Functions

Q: Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from…

A:

Q: Evaluate the line integral, where C is the given space curve. y dx + z dy + x dz, C: x = t, y = t, z…

A:

Q: 3. Let f(x) = x (x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f f(x)dx…

A:

Q: y = x and y =x+2 ve the area about the line x = 3. Using cylindrical shell method, the volume of the…

A:

Q: The function f(x) = 2x° 39x + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Topic = Derivative

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r>0 and one with r…

A:

Q: Evaluate the definite Integral. Use a graphing utility to vertfy your result. dx Step 1 To evaluate…

A:

Q: Find the exact value of each of the following trigonometric functions of 0. 12 90° <0<180° 13 sin 0…

A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

Q: 19) pind tue sum of tue canvergent mveryent Senies' り。 d)- 12 아 ej 60 60 80 4/6

A: 1n+4n+6=121n+4-1n+6

Q: dy 4 V -1

A:

Q: If z = +3y, find the differential dz. dz =

A:

Q: Show that g : B → A, g(x) = √ln x is the inverse of f. Why is f^−1(x) 6 ≠ −√ln x?

A:

Q: n = 1 Vn lim n-00 converges O diverges

A:

Q: Evaluate the definite integral. i-ej+ k 7 O el - 1 7. O el - 1 i+ (e- - 1) j+ k i- (e-- 1) j+ k O e…

A:

Q: ( sec(Inx) tan(lnx) dx

A: ∫seclnxtanlnxxdxLet u=lnx.=∫secutanudu=secu=seclnxAdd a constant to the solution=seclnx+C

Q: Calculate the power series solution of the differential equation of y'- y= e* up to the five terms.…

A:

Q: 2.2 State the identity that validate sin x = 3 cos x- and hence show that 6+9/3 tan x = [10] 23

A: Follow the procedure given below.

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

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L&lt;1 then…

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

A:

Q: Evaluate the limit 11г3 — 7? — 9х lim 10— 5х — 5а3 I+ 00

A: This question can be solved using the concept of limits.

Q: Solve the equation on the interval 0s0<2n. cos (30) = - 1 Vhat are the solutions to cos (30) = - 1…

A: We have to find the angle

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function F(x) = x…

A: A complete solution is given below.

Q: Find the roots Lzerel of eah tunction and State tHhe multipicty of any veputed root - 니 2x

A:

Q: 7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x –…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…