4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

Q: Find the nth term of the arithmetic sequence (a wh a, = 4; d = What is the nth term of the…

A:

Q: F. Change the Cartesian integral to polar coordinate 11-y !! (x² +y*)dx dy

A:

Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: Find the limit of the following sequence or determine that the sequence diverges. 15 Select the…

A:

Q: 8. Describe the steps you would use to determine the absolute extrema of the function Ax) = (x- 3)e"…

A:

Q: Give inequalities for r and 0 which describe the region below in polar coordinates. (Click on the…

A: Angle is given by arctan(y/x)

Q: Problem 11. Solve the following system and express your solutions (if any) as individual ordered…

A: 3x2-2y2=-5     2x2+4y2=18

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: d) Use the right endpoint rule to approximate the area under the curve of f(x) = 4- x2 on [1,2]…

A:

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: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series for f(x) centered at x=a :     f(x) = ∑n=0∞ fn(a)n!(x-a)n

Q: Use the figure to evaluate the following function, given that h(x) = tan x. (Simplify your answer.…

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

Q: If we apply Rolle's Theorem to the function f(x) = 2x? – 4x – 7 on the interval [ – 1, 3], how many…

A:

Q: 1 Σ 'n² +1 ln + 30 1 4 + 9 27 81 243 729 8 16 9

A:

Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

A:

Q: Find div F and curl F if F(x, y, z) = 9e"Y i – 2 cos yj+ 7 sin? z k. div F= curl F=

A:

Q: dy for x'e*y Find dx sin' ( 3x) + In (y) by using implicit differentiation.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Consider the lines l : = 2 – y = z +1 and l2 : y - 2 3 1. Determine a direction vectors for the…

A: Consider the lines L1: x-12=2-y=z+1 and L2: 1-x2=y-2=z-33.1 To determine a direction vectors for the…

Q: dy 5. Vy -1

A:

Q: cion 3 of 10 plicies t Attempt in Progress curl (9z i + 10x j + 6y k). (9z i+ 10x j+ 6y k) = ( i )i…

A: Topic :- vector algebra

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

A: Write the nth term and  add them to get Sn .

Q: Find the curvature and the radius of curvature at the stated poin r(t) = 11 cos(t)i + 10…

A: Here we have r→(t)=11cost i +10sint j +10t k  at=π2 The formula for curvature is…

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

A:

Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

A:

Q: sketch the given region R and then find its area. R is the region bounded by lines y=x, y=-x, and…

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: show

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

Q: Show that the function f defined by (x, y) = (1, – 1) f(x, y) = 1² + y (x, y) # (1, –1) I + Y is not…

A:

Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

A:

Q: Evaluate the definite integral. O e10 e10 - 1 i+ k 10 10 - 1) j+ k 1- e10 - 1 10 e10 i - e j+ 1 k 2…

A:

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

A:

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

A: To determine whether the given series is convergent or not.

Q: Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the…

A:

Q: If f is just that = e*[- sin(x + y) + cos(x +y)] and -e sin(x+y) which if the %3D ay following is…

A: On solving this we will get:- Option (A) is correct.

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

A:

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: p.564/ use Trapezoidal method and Simpsons' rule to evaluate.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Find the indefinite integral. (a) / (2* + v#)dx (c) / 2x6 + x5 -dx x4 (4) [(4cs (xỉ + 5x + 4)dx (4…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 5) Find tue soletion of the differen tiel equation dr Sec't which paffes dt fant +1 turough the…

A: Solve the differential equation by separation of variables.

Q: S V25 – 4x²

A: For the solution follow the next step.

Q: differential cgnatuin as A. Identify the given to the dependent variable, degce z the eguati degre 3…

A:

Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: Solve 6+ 3+ ニ 2-t-26 3-7++10 +

A: Please refer to the image below

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: we are given the function f(x)=cos(x) and the interval -π3,π3.The function f(x) is continous on the…

Q: 6x² +19x+13 2x +5 5.

A:

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

A: