fu)=Sin(x) aニT R=?

Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

A:

Q: Find the exact area under the curve between the indicated values of x. 3 ; between x = 1 and x = 3

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y® +…

A: To Find: Surface area of the region

Q: Find an equation of the largest sphere contained in the cube determined by the planes a 1, a = 7, y…

A:

Q: dy + 2ху dx %3D

A: integrating factor method.

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

A: A detailed solution is given below

Q: y" + y = sec 0 tan 0

A: The given differential equation is  y''+y=sec(theta)tan(theta).

Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

A:

Q: Evaluate the upper and lower sums fo n = 2, 4, 8. Illustrate with diagrams. %3D

A: answer is in next step

Q: V a(x) = e(x-5) - b(x) = -(x – 8.38)² + V c(x) = 1

A:

Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

Q: 5xdx 3. Find the integral (x-1)3 -5 5 а. 2(x-1)2 + C x-1 -5 b. 2(x-1)2 + C x-1 c. In (7DE) – in () +…

A:

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx

A:

Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

A:

Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

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

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

A:

Q: t cos t?dt can best be evaluated by: A Power Formula B) None (c) Trigonometric Transformation D…

A: We have to find out

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: Solve the De as follows via Laplace transformations: y"- (14/3)y" - (55/3)y' + 14y = 0; y(0) = -1,…

A:

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

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

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), Y = e' sin(t), z =…

A: Given;  x=etcost, y=etsint, z=11et.

Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 12tj – 8Vik) dt Need…

A:

Q: Find the area of the plane region bounded by y = x°, x = -2 andx= 2:

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

Q: ydx — хdу %3D у?dy

A:

Q: How many arbitrary constants will be there n the general solution of a second order differential…

A: The number of arbitrary constants in the general solution of a differential equation is equal to the…

Q: So 32 (2 + 4)° da = 5120 Select one: O True O False sin4xdx = 4 7/12 %3D Select one: O True O False…

A:

Q: 3 dy Зу =-sin -1 2 - sin +C V4-9y2 3 A) True B) False

A:

Q: y" – 2y' + y = Ita² 1+x?

A: We use the method of variation of parameters

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A:

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

A:

Q: 1. The point P(p, 1), where p>0, lies on the curve x2 + 2xy3 – : y = 0. a) Calculate the value of p.…

A: we have to find value of p.

Q: 8 – a? if – 2 2 between O 8 and 16 O O and 8 O 16 and 24 O 16 and 33

A: Given problem:-

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

A:

Q: Find V. (V x F), if F(x, y, z) = 7e**i+ 8xej – 3elk.

A:

Q: 20 u(x) = 0.3e(0.5(-x+ 275.1)) + 3.62 21 v(x) = -1.2 log, (0.3(x – 269.73))+4.4

A: We need to find derivative.

Q: The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O…

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

Q: Evaluate the integral / (8x + 18y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A: We have to find value of given Integral along given Curve.

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

A:

Q: Since y"|? v0 at x = -1/2 e we have a relative minimum at the point (c, f(c)). Substitute c = 5e¬1/2…

A: Solve it

Q: cIn2 e*dr = } 1 So Select one: O True O False

A:

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

A:

Q: its magnitude and direction angle. 14. ļu| = 8, 0 = 225°

A: Topic:- vector algebra