esti + 3 sin(t)j + tk and c₂(t) = e-8ti + 2 cos(t)j - 8t7k. (Enter your solution as a single vector using the vector form (*,*,*). Use symbolic notation and fractions where needed.) Let C₁(t) = [C₁ (1) + C₂(1)]= =

Q: 3 S fine f(1) in a way that extends f(s) = 2 - 1 to be continuous at s = 1. 1 (Type an integer or a…

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

Q: Find all values of n such that y = xn satisfies: x 2 y ′′ − 12y = 0

A:

Q: DETAILS SCALCET8 9.3.508.XP. Solve the differential equation. (Select all that apply y' = 9y² sin(x)…

A: Given query is to find the solution of the differential equation.

Q: The tangent line to the graph of some function f at x = 4 is y = - 2x + 5 corresponding normal line…

A: Given query is to find the equation of the normal line.

Q: QUESTION 15 Interpret the divergence of F(X,Y,Z) = (x2y.yz², zx²) at a point (1.-5,1).

A: The given vector is:F(x,y,z)→=x2y, yz2, zx2

Q: Evaluate the double integral: L² fieri sin X 1 ✓cos² y + 3 dy dx

A: To evaluate the following double integral.∫032∫12sin-1 xπ6 1cos2y+3 dy dx

Q: Find the general solution of the following differential equation: y'' + xy' + (x - 1)y = 0 y(0) =…

A:

Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=1, lim f(x) = oo,…

A:

Q: (a) What does it mean for f to be differentiable at a?(b) What is the relation between the…

A: (a) Let f(x) be a function which is differentiable at a point x=a.It means that the function is…

Q: The base of a railing for a set of steps leading up to the front door of a house makes an angle of a…

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

Q: 2 #fL = √ x² + y²₁ dL dt dx dt = 1, dy dt = -3, find (Simplify your answer.) dL dt when x = 12 and y…

A:

Q: 44. If 5y² + sin(y) = x² then dy dx = ? 2x 10y + cos(y) 10y + cos(y) 2x 10y - cos(y) 2x 2x 10y -…

A:

Q: Find the inverse of the relation {(7.8), (4,6), (², 4), (0, 3), (8, -3)}

A:

Q: steps Ⓒ Graph R(x) = x² + 4x-5 ( list all ) x²+x-2 steps (

A:

Q: Given the function f(x) = x³ + 3x². 9x+5 over the interval −7 ≤ x ≤ 2, answer the following…

A:

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

A:

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: QUESTION 10 Let W (s, t) = F(u(s, t), v(s, t)) where u(1,0)=-4,u,(1,0) = -7, u₂(1,0) = -4 v(1,0) =…

A: Here  ⇒wss,t=∂w∂u×∂u∂s+∂w∂v×∂v∂s ⇒wts,t=∂w∂u×∂u∂t+∂w∂v×∂v∂t

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Exponential growth model : The general form of growth function is y = kbx

Q: Find the volume of the given solid region in the first octant bounded by the plane 15x + 15y +9z =…

A: See this solution in below.

Q: CHAPTER 2 You are the manager of a donut shop. Presently, you sell your donuts for $1.00 each and…

A:

Q: 4. The volume of a certain gas is given by V = 207 where T is temperature in degrees Celsius and V…

A:

Q: Find lim f(x) and lim f(x) for the given function and value of c. x-c* X-C™ |x +41 x+4 f(x)=(x +…

A: To determine the limit of the function

Q: write a polynomial in factored form that has degree 9 with zeroes -5(multiplicity 2), 3(multiplicity…

A:

Q: Solve for x. p³+² √r D³ √t²r t² √F log₁x=3logp- (2logt+logor) ادلة التالية بدلالة x.

A:

Q: 46. y = [x + (x + sin²x)³]4

A: Given y=x+x+sin2x34

Q: A plane lamina with mass density o(x, y) = 2 + x2y2 occupies the region in the xy-plane bounded by x…

A:

Q: Use the relation lim 0-0 lim X-0 tan (5x) X OA. lim Ꮎ Select the correct answer below and, if…

A: given limθ→0sinθθ=1   tan(x)=sinxcosx

Q: 2

A: We have to find the value of the double integration

Q: 2 If √7-4x² ≤ f(x) ≤ √√7-x² for -1 ≤x≤ 1, find lim f(x). x→0 lim f(x) = x→0 (Type an exact answer,…

A:

Q: The integral in this exercise converges. Evaluate the integral without using a table. 1² -2 - 00 Oe…

A: Given query is to find the value of the integral.

Q: g(x) h(x) F(x) G(x) 4 7 9 6 4 2 387826 5 4 5 6 7 3 12 748 7 Which of these functions is one-to-one?…

A: By using one to one function concept

Q: 1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b.…

A:

Q: Use the graph to complete the following. AAARIPASSANT UNO ARAS (a) Write the equations for all…

A: Need to find out asymptotes.

Q: f(1) = 10 and f'(x) ≥2 for 1 ≤ x ≤ 4, how small can f(4) be?.

A: Given query is to find the value of f(4).

Q: Assume all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to…

A: Given query is to find charayof the graph.

Q: A continuous function y = f(x) is known to be negative at x = 5 and positive at x = 8. Why does the…

A: Given: y=fx is negative at x=5 and positive at x=8.

Q: Consider the function f(x) = ax³ + bx where a > 0. (a) Consider b>0. i. Find the x-intercepts. ii.…

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 718 00…

A: We have to determine if given series converges or diverges.

Q: xdx ● Find by first dividing. x+1 Do your results agree? xdx Then use Formula #47 to find ſ- x+1

A:

Q: Given y = x² - 2x + 1 and y = x - 1, Problem 5 (a) Sketch the region enclosed by the given curves.…

A:

Q: 1. Let f(x) = x² and g(x)=√x+1. (a) Find f g and its domain. (b) (c) Find and its domain. 9 Find f +…

A: Given functions are fx=x2, gx=x+1 We need to find the following using the given function, f·g and…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: Re-write the given expression in the form of pªn³. - 2 р (n-5) √P A B = -

A:

Q: Find dy by implicit differentiation. x³5xy = 29

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Define f(3) in a way that extends f(s) = S = 3. f(3) = 3 S-27 2 S-9 to be continuous at (Type an…

A: Given query is to find the value for the function at indicated point.

Q: E. DE with Linear Coefficients (x+2y-1)dx - (2x + 4y + 1)dy = 0

A:

Q: 7. The total cost in dollars of a company to produce an amount x of a certain item is given by C(x)=…

A:

Q: Find the absolute min and max values of each function on the given interval. f(x) = x³ - 6x² - 15x +…

A: Given function f(x)=x3-6x2-15x+1

Q: Exercise 3 ( Let f(x)=x³-9x² + 15x + 7. Find: 1- Areas of increasing and decreasing. 2- Local…

A: