x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1

Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: Given,  F'''(x)=6x, F''(0)=0, F'(0)=1, F(0)=1

Q: Given the following velocity function of an object moving along a line, find the position function…

A: We know that if s(t) denote the position of any particle at a particular time then v(t) denotes it's…

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

A:

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

A:

Q: Find all the derivatives of f, given fl(x) = x ° – 5x' + 4x 6 – nx* + 3x ³ + 11.

A: Let's find.

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A:

Q: a²z Determine a²z if z = tan- r - r r2+92°

A:

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

A:

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

A:

Q: Find the average rate of change of the function from X1 to X2 Function x-Values f(x) = x2 - 4x + 6 X…

A:

Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

A:

Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: 5-10 Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates. 5.…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

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

A:

Q: ne limit represents a derivative f'(a). Find f and a. sin (4 + h) – lim h→0 h xpress numbers in…

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

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

A:

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

A:

Q: Question An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a…

A: An open‐top box is made from a 12‐inch by 42‐inch piece of plastic by removing a square form each…

Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

A:

Q: Given the series E Vn9 +1 Vn9 1. n=1 Explain why the limit comparison test is applicable to check…

A: Using limit comparision and p test.

Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

A:

Q: 8. Determine if 2n-1 [5 -1 is cont 7n n=1

A: Given

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

A:

Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

A:

Q: Graph the function and find its average value over the given interval. h(x) = x² – 1 on [0, V3] -

A: The given function,  h(x)=x2-1 on 0,3

Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

A:

Q: Ginen the point P=(x,y) m @ - (a) find the distance ra/x²+y? the origin O = (0,0) to amol simplify r…

A: See the answer below

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: we know that  The deck has cards in two colours red and black

Q: (cos 2x) f (x) = e

A:

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=…

A:

Q: of the minor axis to the major axis? A) 3 B) 3 ulw wIN

A:

Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

A:

Q: dy = -xy %3D dx

A:

Q: If 10 | f(z)dz = / f(z)dr + f(x)dzx – f(2)dz, what are the bounds of integration for the first…

A:

Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: a²z Determine if z = tan- + r2+02° r

A:

Q: Q(x) = Jx + Vx + Vx + ·…

A:

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

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

A: This question can be solved using the concept of area of triangle and area under curve. I have…

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

A:

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

A: