The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t³ – 13t meters. %3D (a) Determine the velocity of the bird at t = 9 sec. meter/sec (b) Determine the acceleration of the bird at t=9 sec. meter/sec (c) Determine the acceleration of the bird when the velocity equals 0. meter/sec

Q: Vx2 (b) / 4 dx; x > 2. x2

A: To find out the integration. 

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

A:

Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

A:

Q: 7. e*-4e * dx A 2 C. + C 2 + C ex x + - - x +2 e * + C x - 2 e * +C C O E None

A: Here,               We have given an indefinite                             integral now we have to ...

Q: 2x3+3x dx x4+3x² In lx* + 3x²1 + C 1 + C In(x4+3x²) C В 1 D 1 1 - In Ix* + 3x²1 + C + C 2 In(x4+3x²)...

A:

Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A: Topic:- trigonometry ratios

Q: the largest open intervals of the domain over which each function is ncreasing, decreasing, and cons...

A: Increasing decreasing

Q: Evaluate the Integral dx 4. S V1-e-2x

A:

Q: sc 2x - cot 2x = 0 1 sec

A: We have csc2x-cot2x=?

Q: Show all your work 1. (a) a s} Sketch the region bounded by the graphs of y-Va-1 and y a-1 on [1,2]....

A: This question is based on washer method. V =  π∫ab [{R1(y)}2 - {R2(y)}2]dy

Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...

A:

Q: point in a wire up to time t (measured in seconds) is given by Q(t) = t3- 4t2 + 6t + 5. [The unit of...

A:

Q: Consider the function shown below. 3 What type of function is shown in this graph? O A. density func...

A: Given:

Q: (x-1) y ' = y +2(x-1)3

A:

Q: Find the solution of the following Differential Equations

A: We are asked to find the solution of the differential equation

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and ...

A: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and ...

Q: sin 4zdz J 16+ sin ª 2= 4.

A:

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: Obtain the solution using Integrating Factors Found by Inspection 2x 5y ′ = y(3x4+y2)

A:

Q: 5- 1. If ff(x)dx=12 and [f (x)dx = 3.6 , find 1 1

A: Integral

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

A:

Q: Evaluate the integral. (In(x))² x3 dx

A:

Q: H.W Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, find, in the form x + iy: %3D %...

A:

Q: Determine the limits of the following using the table of values. 4. lim vx3 - x x-2 5. lim x-0 x+1 x...

A: Please refer to the image below

Q: Given: cos a=, sin B= , and a and Bare first-quadrant angles; find cos(+ B). -33/65 16/65 1/3

A:

Q: Find the length of the graph Y (2? + 1) 2. on the interval (0, 2].

A:

Q: dy = 6x– 2x + 1 cos y + eY %D dx

A:

Q: du What is the value of u, given the equation equal to? A. x² В. 4 С. 6 D. none of the above

A:

Q: 13 Given: cosa = and a is located in the fourth quadrant; find tan 29. -14/27 24/7 -24/27

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: dx 3xv4x2 – 9 EVALUATE. Hint: RESULTING TO INVERSE TRIGO. du uýu² – a² =- Arcsec-+ C a a.

A: Given

Q: cot x tan' x +- 2 csc x secʻx -1 II

A:

Q: Using Integrating factors found by inspection (2y-3x)dx + xdy = 0

A:

Q: each given closed interval. Show your proof using the intermediate value theorem. 1. taentify if the...

A: Find your answer below 

Q: X = 6. (x)f (q (x 3. = (x)6 (3x 1. Determine the first derivative of the following functions:

A:

Q: Solve for the general solution of the equation: y'=xy

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: rtices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A acute isosce...

A:

Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: 4. Зх — у 3D 2 х + 2у 3 10 x = 2, y = 4

A:

Q: 2 1 lim х->1| х — 1 X→1 X - 1

A:

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

A:

Q: Prove or disprove without using horizontal line test whether the following function is onc-to- one a...

A: We have to check weather the function is one-to-one/onto

Q: S x²e2** dx

A:

Q: O solve over all real numbers. 6. cotxsin2x = 5cotx

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: sin-"(ry) = cos-'(x – y)

A:

Q: Question VIn(2r +5x-1). Find the derivative of f(x) %3D Provide your answer below:

A:

Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

A:

Q: 8x2 + 8x + 2 dx (4x² + 1)

A: 4x^2+1 cannot be fractionised further

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16