Find a vector a with representation given by the directed 个 line segment AB, where A(–6, −6) and B(4, 8).

Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

Q: Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to…

A:

Q: Homework: Ex dx 7.S √√x + ³√x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: = { x + 15 X C(x) = if x < 100 if x ≥ 100

A: Topic:- function

Q: Evaluate the integral by changing to Spherical Coordinates. √16-3² [√/32-32-42 xy dz dy dx

A:

Q: Q1: _lim, Q2: lim (x-1)(x-2) x+1 x+01+stnx Q8: lim h-o = (C)-8 x²-16 Q3: f(x)=x²-5x+4 is…

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A: The curve y=4x-6, for 52≤x≤92 rotated about y-axis we have to find the surface area of the solid

Q: The manager of a car rental agency knows from experience that all 300 cars will be rented if the fee…

A: Given problem:- The manager of a car rental agency knows from experience that all 300 cars will be…

Q: Use exponential regression to find an exponential function that best fits this data. f(x) = Use…

A: Answer is in next step.

Q: Differentiate the fol y = (sin x)(lnx) a)

A:

Q: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

A: Please see the below picture for detailed solution.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A:

Q: Find dy dx Please, expert, I do not have much money. Solve as many questions as possible, please…

A:

Q: Find the distance between the pairs of points in exercises A) (0,0,0) and (2,-1,-2) B)…

A:

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁2₂ and the quotients and (Express your…

A:

Q: X 10. [7x+3x+1 dx 2x ux 11. Jhxdx 12. f(x²-4)³ dx 2x

A:

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 4 cos…

A: We  have given polar equation  r=-4cosθ-6sinθ Using cartesian equations x=rcosθ y=rsinθ x2+y2=r2 Put…

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

A:

Q: The magnitude of the vectors and are 2 and 11 respectively, and the angle between them is 53º.…

A: Given, |u|=2, |v|=11 Angle between u and v is θ=53°.

Q: Given that u and are not collinear, which of the following is false? Ox=0 Ov • v = | 0 | ² υ ये • ये…

A:

Q: [sec² (x-4) do 2) Evaluate sec

A:

Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 8 Σ k=1 3k² 7k…

A:

Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

A:

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: 5. S (2x+1) dx (x+4)6(x-3)6

A: ∫2x+1(x+4)6(x-3)6dx

Q: A lawn mower is pushed a distance of 250 ft along a horizontal path by a constant force of 45 lb.…

A:

Q: Which of the ff is a valid double integral? -2x [*f* xy dy dx b. f*f* xy dx dy a. C. -2x ** 1²* xy…

A:

Q: A woman standing on a hill sees a flagpole that she knows is 70 ft tall. The angle of depression to…

A:

Q: 1. Karen is a hobby farmer from near Toowoomba in Southern Queens- land. She sells the lettuce she…

A: Topic- Functions and application of derivatives

Q: dy 4) Solve the differential equation - = sinx, y(x) = 2 dx

A:

Q: 12 lo Slog, clox) dx 10 X

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: State the domain of the graphed function: -5 -5- 0 -5 -10- 5 10 15

A:

Q: sec x In the figure to the right, the equation of the solid curve is y= 2 dashed curve is y=2 cos2x.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Q7: If f(1) = -1,f(1) = 2,g(1) = 3,g'(1) = -1, F(x) = then F'(1) = . (A) (B g(x) Q8: lim…

A:

Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

A:

Q: The function f is defined as follows. - 3x + 4 if x < 1 2x - 1 if x 21 (a) Find the domain of the…

A:

Q: A-0 ********* ****** Q9: If f(2)= 3, f'(2) = 4, g(3) = 6, g'(3) = -5,K(x) = f(g(x)).then K' (3)=(A)…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 3 [₂(2²)…

A: Please see the below picture for detailed solution.

Q: 13. What is the maximum value of the parabola ? 5 0 5 a) y = 3 b) x = 4.9 -Cr- 5 c) y = -1 d) There…

A:

Q: Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum height…

A:

Q: cos (5) cos(3x) dx = - Jeigh Ch JAS (no (D) 2

A:

Q: A 100-gal tank contains X (X is 17 ) gal of fresh water with 0 amount of salt. At t=0 a brine…

A: Amount of salt changes per time =salt amount ×rate of incoming - salt amount× rate of outgoing

Q: Find the product z₁z₂ and the quotient Z1Z2 = N 11 Express your answers in polar form. Z2 Z₁ =…

A: We know that general property of trigonometry is - Cos(A+B ) = CosACosB - SinASinB. And Sin(A+B) =…

Q: 9. What is the maximum value of the parabola shown ? -4- 2- 0 --2- 2 a) y = 5 b) x = 3 c) y = 3 d)…

A: Graph of the parabola is given, we have to find its minimum value.

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A:

Q: 1 If f(x) = -2x2² +8x-4, find the following value. f(5)-f(-7) 5-(-7) Give answer as an integer or…

A:

Q: Find each model WITHOUT a Calculator (without regression) BY HAND. Then, use a calculator to…

A:

Q: 41) 42) B 5 C Find sec 0. 8 9 A

A: