smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x + 7; dx = 5 centimeters per second dt !! a) x=-1 AF cm/sec %3D b) x 0 dy dt cm/sec C) x= 1 dy cm/sec dt

Q: 00 n8" Use the ratio test to determine whether>. converges or diverges. (n + 1)! n=7 (a) Find the…

A:

Q: n(-8)" Use the ratio test to determine whether converges or diverges. п! n=25 (a) Find the ratio of…

A: Here we have to use the ratio test.

Q: Set up, but do not evaluate, an integral for the surface area of the surface generated when the…

A: writing given function as x in terms of y

Q: sec'x tan?x dx, can be evaluated by using trigonometric transformation. A) True B) False

A: Let's find.

Q: Question 8 x2 + 64 Using trigonometric substitution, given - dx, the simplified form of the integral…

A:

Q: There are 150 students in the marching band, and 30 of them play the trumpet. Which number line…

A:

Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

A:

Q: 4" converges or diverges. (7n)2 Use the ratio test to determine whether n=6 (a) Find the ratio of…

A:

Q: applying substitution méthöd: sqns -48

A:

Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: Using trigonometric substitution, given (Vx+64 dx, the simplified form of the integral is: sec³ed®…

A: We have to check whether the given statement is true or false.

Q: 3 dx (3) x? +9 -3

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: 2BVC = (12x - 24)° and mZEVD = (2x + 15. What is m2CVE ? THAM V. A D. Find the missing pieces.

A:

Q: Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True…

A: We solve it by integration by parts.

Q: Find the equation of the tangent line to the curve y =4x-8 at the point (3.-2).

A: Topic = Derivative

Q: Work Problem 1 [With integrity statement] (! Let R be the region bounded by y=x+ 2, y 0, and x=2.…

A:

Q: IVy+1-2dy can be evaluated conveniently if we let x =VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A:

Q: The shaded region R is bounded by the lines x = 0, y = 0, and the curve y = x² – 2x + 2 as shown in…

A: Here, the volume is: V=∫03π(y)2dx =π∫03x2-2x+22dx=π∫03(x-1)2+12dx

Q: Evaluate the following integrals: (a) / dx V2x2+1 (b) / sin(In(x)) dx (c) S(x² + 2x)e2* dx

A:

Q: Consider the function below defined on the indicted interval. f(x)= -(10x+x^2), [-10,0] Find the…

A:

Q: find S- とx 1-COS2X

A:

Q: Qel Find the limis hth G8h alie んう0 2lim 土 2x2_8

A:

Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: 00 n +7 Use the ratio test to determine whether>. converges or diverges. 7" n=3 (a) Find the ratio…

A: To find whether the given series converges or diverges using ratio test.

Q: For the following integral, answer the questions below. ets dx (a) What should be your first step in…

A: Use first substitution then use integration by part

Q: dx Evaluate: xV x2 +4 (A None of the given choices ® n Vx2+4- 2 + C x² + 4 +2 Vx²+4-4 +C x² + 4 + 4…

A:

Q: Sketch the region of i nd change the order of integration ntegral 9. 3 f(x, y) dydx

A:

Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

A:

Q: csc*n y 7. S dy cot²n y

A:

Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

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

Q: x dy Q33. Solve the differential equation = 3x dx (a) y =+ ce 5 (b) yà = +ce 5 +ce 5 (c) yš = Vx +…

A: To solve the differential equation xy-23dydx+35y53=3x.

Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

A:

Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (v2,0). What is its…

A: The tangent to the curve y=1x, intersects the x‐axis at 2, 0.To determine its y‐intercept.

Q: Q3 Find y ン ニ月(^)→ t(メッ) tanx 2 y-(1+x)

A:

Q: solution

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

Q: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

A:

Q: Question 2 Evaluate: J y* sech (e m)tanh (e ) dy A sech (y7) + C B) None © -eh*(,) + C E

A:

Q: Consider the initial value problem y'(t) = t² - 3y, y(3) = 1. What is the approximation to y(3.1)…

A: Here we have to use the Euler's method.

Q: Find the general solution of the following differential equation: y" + 4y" + 4y = 0. %3D

A:

Q: Use the Comparison Test or Limit Comparison Test to determine whether the following series…

A:

Q: Find if yvx – 8 = xy + 2.

A:

Q: If f(x) = (x+1)/(x-1), where x # 1, determine f '(1). %3D

A: derivative of fx=x+1x-1 at x=1

Q: 1. S cot 2v dv 2. S tan*- dr 2 3. S (tan tan 5w +cot cot 5w )² dw sec (Inln x* ) dx 4. S 5. S Csc4…

A:

Q: dz ins- , if we let y=Vz+4, then the new integral becomes z+4 -2 у-2 True B False

A:

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

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: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

A:

Q: 9- 4x2 Evaluate: xp-

A:

Q: Find the values of a and b for the curve x*y+ay =b if the point (1,1) is on its graph and the…

A: Given,            The curve is x2y+ay2=b if the point 1,1 is on its graph and the tangent line…