Fird the area lounded by the curve: a) y=X ° and y =2x+3 aJCurve accurately drown with immportant points lobeled b Strip is present, accurate C) Sulostitu tion of eauation of curve limits Cire accurate ) Firal ansuver

Q: f "(x) 2)-1/2 x+2( -3 + 2)-1/2 + 4) -3( 2x+ 2

A: Solving

Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: 9-x2 dx. - х x2

A:

Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

A:

Q: Question 1 half of the circle x +y? = 9. Sketch D, and give D in the polar coordinates. Evaluate the…

A: We will evaluate this double integral using polar coordinates.

Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

A:

Q: In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

Q: Question 5 x² – 25 The antiderivative of - dx is x2 – 25 – sec-lx+ C. True F False

A: ∫x2-25xdx

Q: If R is the region enclosed by 100 – 4x2 - 4y2 = 0 and 9x2 + 9y2 - 36 = 0, then which of the…

A:

Q: Verify that f has an inverse function. Then use the function fand the given real number a to find…

A: I am attaching image so that you understand each and every step.

Q: Evaluate: (9 - 22) -1 x- V9- x sin A f (z) = %3D V9-2 None of the above a+V9-r sin ©f(z) = V9-7 9-…

A: We have to choose the correct option from the given options according to the given information

Q: *(5t² – 3t=3) dt

A:

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

A:

Q: If y = x + ex, find dx/dt.

A: Given query is to find the derivative of the expression.

Q: Given /V -x²+4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? (A…

A:

Q: If D is the region enclosed by 4 < x? + y? < 9 and y <0, then which of the following is the setting…

A:

Q: z+3 lies on the y -axis of complex plane, where Q48. If z = x + iy and z + 3, then which of the…

A:

Q: each of the problems, solve the given differential equation. 1. y` = x2/y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The owners of a restaurant are interested in analyzing the productivity of their staff. The function…

A:

Q: Find the absolute extrema of the function f(x) =(x+1)* in [-2,1], if there is any.

A:

Q: Find the producers' surplus at a price level of $15 for the price-supply equation p=S(x)=6+0.01x2…

A: We have to find the producers' surplus.

Q: tanzVx sec*/x dx

A:

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x? + xy + y? - 9x…

A:

Q: x dx 24) (7x² + 3)5

A:

Q: Question 6 Evaluate: VA 4 – a² A None of the above 2 sin () – av4 – a² + C f (x) 4 sin- (E) - æv4 –…

A:

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: У(2 — 2х)100 — у — хz; ху and yz.

A:

Q: /9-x² dx. Use trigonometric substitution. x2

A: This question is related to indefinite integration, we will we will solve it using given…

Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

A:

Q: 58. Particle Motion The position of a particle as it moves along a line is given by s(t) = – 12r +…

A: Given,           The position of a particle as it moves along a line is given by…

Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

A:

Q: What is wrong with this calculation? 1 dx = In 1- In 1 = 0 %3D Choose the correct answer below. 1. O…

A: Given expression is                                         ∫-11 dxx = ln x-11 = ln 1 -ln 1 =0    We…

Q: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

A:

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: We have to evaluate the function.

Q: dx J Evaluate: (x-4)(x-1) A None of the given choices 1 B x-1 +C X-4 (c) x-1 3ln X-4 + C 1 D X-4 + C…

A:

Q: In each of the problems, solve the given differential equation. 1. y` = 1 + x + y2 + xy2 2. y` =…

A:

Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

A:

Q: uppose that f(1) = 6, f(4) = -2, f'(1) = 5, f'(4) = -3, and f" is continuous. Find the value of af"…

A:

Q: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

Q: For the frictionless spring mass model, using a mass of m=0.5 kg and spring restitution coefficient…

A:

Q: Let f(x) be the function 1 Then the quotient x + 8 f(5+ h) - f(5) -1 can be simplified to h for: ah…

A:

Q: integral is true or false: 3 dxdydz = 72. 0. 1 -3 Select one: Truo

A:

Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

A:

Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

A:

Q: line passes through the points P(6,10, - 1) and Q(8, - 10, -8). Find the standard parametric…

A: Given query is to find the equation of the line.

Q: sin dx. Use trigonometric groups- 4. cos

A:

Q: ,R(x) dollars is the total revenue from the sale of x television sets: R(x) = 600x 20 i) Find the…

A: Rx dollars is the total revenue from the sale of x television sets: Rx=600x-120x3i To find the…

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows: