Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x = 11 and x = 13.

Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

A:

Q: Find O 1/10 2/5 O 25/12

A: Follow next step

Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

A:

Q: Find the exact value using a sum or a difference identity. SHOW ALL WORK– include the formula,…

A: cos(225°) here 225° = 180°+45° cos(225°) = cos(180°+45°) cosθ is negative in the 3rd quadrant since…

Q: 1. Find particular solution of the following differential equation: dy 15- + 2r-3 dr - 3x-2 =0…

A:

Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

A:

Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

A: Here, the given function is: f(t)=∫0tx2+13x+401+cos2xdx

Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

Q: In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j –…

A:

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: Q.3. Use the method of Laplace Transform to solve the initial value probl y"+y +y 3 sin(2t), y(0) =…

A:

Q: 6. 2y²e»² dx + 2xye»*dy = 0

A:

Q: Solve for y in the following system of equations: x – y = -7 2x + y = -17 -8 О -1 O -3 O O

A:

Q: 5. Evaluate the expression without using a calculator. Show all steps. (a) sin (4) (b) cot(-210°)…

A:

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: Use area concept of integral

Q: A physical education teacher found that 62% of the students exceeded the minimum standards. Which…

A:

Q: 3/2 <(のーメ)CK dx 2. 2.

A:

Q: owing integral equal?

A:

Q: 8. S 3tan 3z r sec? 32 da

A: As per the guidelines I can solve only first question

Q: 1 dx x+2

A: Given that a integration and we solve this integration by using general property of integration.…

Q: Determine the convergence or divergence of the series. n = 8 converges diverges

A: Given query is to find series converges or diverges.

Q: Find the equation of the circle shown Ih

A: Three point  ( 0 , 4 ) , ( 0 , 2 ) and ( -2 , 0 )   equation of circle   From the graph  center ( h…

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: Solve the two items using Integration by parts. 1. [x' V9- x² dx 2. Te2* sin x dx

A:

Q: cesin x (sin x + cos x) dx e cos x

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

A:

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

A:

Q: 3 dr 3

A:

Q: 1. Answer the following questions for the quadratic function f (x)=x² -8x +8 . a. Calculate the…

A:

Q: Letf(x) = x+3x -9x-13 (a) Find the intervals where J(x) id increasing and decreasing; (b) Find the…

A:

Q: C. 5x' + xy = 5x°y³ .3 ху .3

A:

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

A:

Q: 00 Σ 2 ni(6x – 1)" n = 1 R = Find the interval, I, of convergence of the series. 1. OI = 1%3{1} O I=…

A: Series

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: 2/11 Correct Question 4 of 11, Step 1 of 1 2 Consider the function f(x) = x - 6x - 4 on the interval…

A:

Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

A:

Q: 7. (n'-6n +32) (n- 4)

A: Follow next step

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

A:

Q: 1 -dx is The value of

A: ∫ xn dx = xn+1n+1+C .

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

A:

Q: (425 + 62?)dx Find -2

A:

Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A:

Q: it is always that when the series equal to zero it converges and when it is nonzero it diverges ?

A: For a series to be convergent we must have limn→∞an=0. But the converse is not true.  For example:…

Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

A: