Find the area of the region(s) enclosed by the curve (x) the x-axis, and the lines x = -1 and X= 2. A) 12/45 в) 6 D 17/4

Q: 2а-2х V4a-V4x

A:

Q: Зху dx + 4xy dy %3D i 63

A:

Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Calculate D(fog) for the functions f(x, y, z) (st, tu, su).

A: answer is in next step

Q: Find [r(t) u(t)] and [r(t) × u(t)] in two different ways. dt dt r(t) = cos ti + sin tj + tk, u(t) =…

A:

Q: cos (0 + 11) y = Use symbolic notation and fractions where needed.) dy -4 cos (0+11) sin(0+11)| do

A:

Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different way dt dt r(t) = cos ti + sin tj + tk, u(t)…

A:

Q: Find the area of the region(s) enclosed by the curve f(x) = x°, the x-axis, and the lines x =-1 and…

A:

Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: given point. Function Point f(x, y, z) = V x2 + y2 + z² (10, 3, 9) %3D Vf(10, 3, 9) = Find the…

A:

Q: The function ƒ (x) = |x| is continuous at every real number. %3D False True

A: Let's find.

Q: 1+9n² b) Determine whether the sequence a, = converges or diverges. If it converges, %3D 1+n find…

A: The given sequence is: an=1+9n21+n2

Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

A: To solve the following problem

Q: around the boundary of the parallelogram in the following figure (note the orientation (X9.Y), (2.0,…

A:

Q: 4. Use L'Hopital's rule to evaluate lim(1 – 2 sinh(r))ach(=).

A: 4) To evaluate: limx→0(1-2sinh(x))csch(x)  which is in 1∞ form.

Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

A:

Q: n! n=1

A: Given :∑n=1∞ 1n!

Q: Find div F and curl F if F(x, y, z) = 3e"Y i – 6 cos yj+ 10 sin? z k. div F= curl F=

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: an

A:

Q: O An ellipse in the plane x axis, minor axis of length 14 parallel to the y-axis. = 1, center at (1,…

A:

Q: Hello, complete the attached Calculus question correctly and show all your work. Please use the…

A:

Q: Find div F and curl F if F(x, y, z) = x°i – 2j + yzk. div F= curl F=

A:

Q: Find the gradient of the function at the given point. g(x, y) 11xe/x (13, 0) %3D Vg(13, 0) =

A: Gradient

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: To determine the volume of the largest cone having its circular base circumscribed about a face of a…

Q: 11. Calculate the directional derivative of the function f(, y, z) = xyz at the point a (-1,0,2) in…

A: See the answer below

Q: Solve [D* +3D² –4]y= 2sin° (5x)

A:

Q: Find the Laplace transform of f(t) ={0, 0 ≤t ≤1         7t −7, t ≥1 .}

A: Given :f(t)=00≤t≤17t-7t≥1

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: +4

A: To check the convergence of the given improper integral:∫-∞2dxx2+4

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Directional derivative: D f = del f • unit vector of direction

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 4 cos(t)i…

A:

Q: Find curl (9z i + 10x j+ 7y k). curl (9z i+ 10x j + 7y k) = ( i Di + ( i Oj + ( i )k

A:

Q: Find the area of the shaded region. y = -x3 + x2 + 16x and y = 4x %3D 30 254 20 IS 104 y 4x 20 25 30…

A:

Q: Find the area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B c) 0.5 D 3

A:

Q: Evaluate the definite integral. (9ti + 3+j + Vik) dt 9ti + 3tj tk dt

A: Topic = Integration

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: find SCE) at timet V=-5t+5, S0) = 14

A:

Q: What is the closed-form expression for the series 2 (k+ 1)², k=1 13 n3 + B

A: First expand the squre  term and make it in standard format then use the formula of summation.

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 24x from (24, 24) to (0,0). NOTE:…

A:

Q: Determine the vector field of F. F(x, y) 3D 6і — 2)

A: GIVEN :                  F(x,y) = 6i - 2j.           ------(i)  We have to determine the vector…

Q: Find the unit tangent vector to the curve at the specified value of the parameten r(t) = 4 cos(t)i +…

A:

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 7 cos(t)i…

A:

Q: Use a double integral to find the volume of the indicated solid. 4아 2 30 z = 25 - xy 20 10 3. 2 y=x…

A:

Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

A:

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x8 1 g(x) 5x + 1 (Express numbers in…

A: