Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3r? + 1) cot (322 + 1) -12x cot(3a + 1) csc²(3x² + 1)

Q: III. Evaluate 4 - x -dx. V16 – x2

A:

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

A:

Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

A:

Q: 6. A whale is swimming on course due west at 20 miles per hour. The water is moving at 7 miles per…

A:

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m. Find the work…

A: To find the work require to pump all the water to the top of the vat. Given, 9810N/m^3 as the weight…

Q: Question 7 of 10 The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m.…

A:

Q: Activities in Logarithm dy Find the dx 1. y = In(x? – 7x) -

A:

Q: Find the total area enclosed between y = x and y = a over the interval [-1,5]. NOTE: Enter the exact…

A: The region bounded  by y=x3 and y=x over the interval -1,5

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

A:

Q: 4-S cosh ? Va dx Vx csch vx

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: 3. Integration by parts a.j 18x ( x+ 4)»

A: Given

Q: dx II. Evaluate the improper integral J x(Inln x)

A:

Q: Solve the system by using Gaussian elimination or Gauss-Jordan elimination. 2x+7y = -13 3x+18y = -42…

A:

Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

A: To determine the area of the region enclosed by the graph of  y=x2+1, and the line y=5.

Q: Ans: -+ cosx c 1. y' +y2 sin x = 0

A:

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: Use series to estimate the integral's value with an error of magnitude less than 10. 0.27 1 xp- 0.…

A: To solve the following integral using series

Q: Evaluate the definite integral. e6t i + e¬j +t k )dt O e6 - i - e- 6. + (e* – 1) i – (e-1 – 1) j + k…

A:

Q: 5- S(tanx + secx)² dx

A:

Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: / Graph the following functions ( 1) y = 4 sin x 2) y = cot x %3D 3) y = csc x %3D

A:

Q: ? Va dx Vx csch vx cosh 4-S-

A:

Q: Verify Green's Theorem by evaluating both integrals ƏM r dx + x² dy= dA ду Ne for the given path. C:…

A:

Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

A:

Q: We have 1 d (In(x² + 1)) : dx x2 + 1 Select one: O True O False

A: As we know that; The Chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxlnx=1x   Given;…

Q: Determine the points at which the limacon defined by the polar equation r= 3 + 2 sin(theta) has…

A: We need to find tangent and sketch.

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: 1. A force of 1000 pounds is acting on an object at an ang of 500 pounds is acting at an angle of…

A:

Q: QUESTION 6 A museum charges $10 for an adult ticket and $5 for a child ticket. On a given day, 46…

A: Let the number of adult tickets be x and the number of child tickets be 46-x. Then by using the…

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

A:

Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

A:

Q: Find the area of region bounded by the curves y = x² and line y=x.

A:

Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A: To find the area of the region bounded by the given curve

Q: 2-fx'e-2x* dx

A:

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 121 is…

A:

Q: 議 三 彩券 財 The table gives selected vahies ofrthe velecity, v(.ototicle noving along te raxls. At tine…

A: topic - graph

Q: Directions: Answer what is indicated in each number. 1. Find the derivative of f(x) = 3x², and…

A: 1.  f(x)=3x22. The curve y=2x2+3

Q: Question : Given the following transformations, write the resulting transformed equation for the…

A:

Q: ANSWER

A:

Q: Find the total area enclosed between y = r and y = x over the interval [-1,5]. NOTE: Enter the ezact…

A:

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given  a=3, b=8 and n=2

Q: pyramid hip roofs (see la). As an eco-conscious person, Sharon would like to install solar panels on…

A: answer is in first step

Q: Write each complex exponential function as a sum of its real and imaginary parts: (4.053 + 2.042 i)…

A: Write the complex exponential function as a sum of its real and imaginary parts.4.482+4.681…

Q: Compute for the initial velocity of 3÷(cos(45)×38. Show your complete solution

A:

Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

A:

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A:

Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

A: