calculus to determine where = 180x³ + 33x² - 12x + 3 ecreasing. your answer as an interval, using U for unions.

Q: Let r(t) = (-4t + 4, e¹, 5e¹¹). Find the line (L) tangent to r(t) at t = L: (x, y, z) = Question…

A: We need to find Tangent Line

Q: An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns…

A: The differential equation is given as , y'=d+ry where r is the interest rate and d is the deposit…

Q: Find the indicated partial derivatives of: fz(x, y) = fy(x, y) = f(x, y) = 1r - 6y -8x - 6y

A: Givenf(x,y)=1x-6y-8x-6y We are required to findfx(x,y)=?fy(x,y)=?

Q: 214 (a) Estimate the area under the graph of the function ƒ (z) — _—_—__ from 2 – 0 to z – 1 using a…

A: Solve the following

Q: 2 Find the sum of a 7+9+11+13+ to 10 terms b

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (5) The marginal revenue, P'(x), for selling x units of a product is given by 40 e0.1x Find the…

A:

Q: dislodged from the side of a cliff. If your head is 490 meter below the base of the boulder at that…

A:

Q: Problem Solving: Show all pertinent solutions and box all final answer. 1. Evaluate fx²√1 + x dx

A: use the substitution method to solve the integral.

Q: f(x) = 6log(13x + 8) - 2

A:

Q: (e) [₂ -2 xVx+2dx U = x+2 du = 3 (1) fe el/x x2 -dx

A: SOLUTION-

Q: * 6. A length of sheet metal 27 inches wide is bent up symmetrically on both edges to make a…

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) (b) (c)…

A: Let's solve all integral value.

Q: sin(4x) (b) lim 2-0 tan(x)

A: Given limx→0sin4xtanx apply  L'Hospital rule limx→0cos4x4sec2xapply limit cos(4×0)4sec2(0)=141…

Q: Give a possible formula for the function below. Let A = (1, 6) and B = (2, 18). Use the general…

A:

Q: Question Convert the equation r = solved for y. 8 sin(0) into an equation in rectangular…

A:

Q: The limit is equal to -∞ 0-1 01 0 lim x→0 Sln(1 + t²) dt x

A:

Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: east one real value of x? =x² +1 لاح * 1T for all real values of c. h(x) = |x| d. j(x)=x²-3x…

A: Function is differentiable everywhere on R if it's derivative is defined everywhere on R.

Q: Evaluate the following integral using a change of variables. y-x !!()** y + 2x + 1 R تالي y-x y + 2x…

A:

Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: Identify the rectangular form corresponding to the parametric equations x (t) = 41³-1 and y(t) =…

A:

Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A: given  c'(x)=26x+8given  total cost of producing 39 units is $23,609∫xndx=xn+1n+1+c

Q: A projectile is launched straight into the air with initial velocity vo = seconds after launch is…

A: The given velocity function: vt=100-32t

Q: Evaluate S- A B 1 x²√√x²-6 (U) x²-6 6x x²-6 √6x 6x +C +C x²-6 6x dx using a suitable trigonometric…

A:

Q: On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for…

A: Given, On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the…

Q: Let f(x) = = (2x¹, (5sin(x), 0 슴ㅠㅠ ㅇ 름ㅠㅠ ○ ㅠ + 10 83 - 10 0 1 - 10 -ㅠ < æ < 0 0 ≤ x < ㅠ Evaluate the…

A: The function is given by fx = 2x4, -π≤x&lt;05sinx, 0≤x≤π To evaluate: The value of the definite…

Q: Find the critical point(s) of the function. f(x, y) = x³y + 12x² - 8y +5

A:

Q: Design a rectangular milk carton box of width w, length 1, and height h which holds 494 cm³ of milk.…

A:

Q: Evaluate the following line integral along the curve C. (x-y)ds; C is the line segment r(t) = (t,…

A: Solve the following

Q: f(u) = Using the u-substitution u = 3x² + 1, identify f such that the integral help (formulas) X 3x²…

A:

Q: Let F(t) = (3t² + 5, 2e-5t, 3 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

A:

Q: A particle moves in a straight line with the given velocity v(t) = 36t−² − 1 (in m/s). Find the…

A:

Q: Given the vector-valued functions i(t) = et + et + 5tk (t) = 3ti + 3t²j5k d ind(u(t) (t)) when t =…

A: Given vectors:- u→t=e5ti+e-4tj+5tk v→t=3ti+3t2j-5k

Q: The graph of g(u) = - 2u + 2 is given below. + -4 -3 -2 -1 Q Use the limit definition of the…

A:

Q: a can is kicked with an initial velocity of 17 feet per second at an angle of 28°

A: Given query is to find initial horizontal and vertical velocity.

Q: need the stretching factor and asymptotes of the following p(x)=tan(x-Pi/3)

A:

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A:

Q: Find the distance from the point (6,-5,-4) to the yz-plane

A: Given point (6,-5,-4)

Q: dr Differential equation: (tº + 5t)i + (9t)} + (5ť³)k dt Initial condition: 7(0) = 9ỉ + j Solution:…

A: ∫xndx=xn+1n+1+cdr⇀dt=(t6+5t)i⇀+(9t)j⇀+(5t5)k⇀

Q: Use a convergence test of your choice to determine whether the following series converges or…

A:

Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

A:

Q: Find the area of the region between the graphs of y = 17 - x² and y = - 4x + 5.

A:

Q: -2 0 8 4 Determine the x-value where a possible global maximum for a function h occurs on the…

A:

Q: Find the net signed area between the curve of the function f(x) = x³ and the x-axis over the…

A:

Q: Number

A:

Q: Let F = (e³ª, sinº x, cos² x). Calculate curl(F). curl(F) =

A: Given  F = e5y, sin9x, cos2x We have to calculate curlF.

Q: Find sin 2x, Coszx, and tonex if sinx = ? JT3 and x terminates in quadront II.

A:

Q: Convert y = 29 z² to polar coordinates in the form: r is a function of 0. r =

A: Given,            The rectangular coordinates is y=29x2.To find : Convert rectabgular to polar…

Q: could you please simplify what it means after the third U in both answers . like write it in another…

A: Please see the answer.

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) x6 + 6,000x³ +…

A: