Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and determine if f is differentiable at xo: f(x) { x +1 (x+1, x ≤ -2 l-x-3, x>-2 Xo = = -2

Q: 5. Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the following paths from (1, 0, 0) to…

A:

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

A:

Q: A B D Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 96 л 52 t 48 100 π

A: First I have written the area formula for polar curve , then draw the graph of given curve and then…

Q: Write TRUE if the statement is correct, otherwise write FALSE. Y y = h'(x) (-3,0) (3,0) x (0, -1)…

A:

Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

A:

Q: 10 (1 - 6x)² convergence R Represent the function Co= C1 = C2 = C3 C4 = Find the radius of || as a…

A:

Q: A table of values of an increasing function fis shown. X 10 14 18 22 26 30 f(x) -11 -5 -2 1 5 Use…

A:

Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

A:

Q: Identify/cite a real life event that models a continuous function By applying three conditions of…

A:

Q: the

A:

Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.)…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j|| dt =

A: ||xi + yj || = √x^2. + y^2

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Here, the given series is: ∑n=1∞7n2(2n+1)! Let, an=7n2(2n+1)!; n≥1

Q: Use the Product Rule to differentiate the function. f(x)= x cos(x) F'(x) =

A:

Q: The heights h, and h₂ (in feet) above ground of two people in different seats on a Ferris wheel can…

A:

Q: Find the Maclaurin series centered at c and the interval of convergence. 12) f(x) = 1-2x 13)f(x) =…

A:

Q: Prove the identity. sec²x+csc²x = sec²x csc ²x Note that each Statement must be based on a Rule…

A:

Q: ergence or divergence of the given series or state that the Root Test is in 1 n=1 non x.)

A: Given :

Q: Q₁: Revers the order and Evaluate in 는 I S dx dy y

A: Given integral is ∫-212∫y1-ydxdyx limits are x=yx=1-yy limits are y=-2y=12By inversing limitsy…

Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: Suppose parametric equations for the line segment between (7,-3) and (8, 2) have the form: Т a + bt…

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

Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  x + 4…

A: Solution: f(x)=x+42x2-5x-3

Q: Find the work done by the force field F(x, y, z) = (x - y², y - z², z - x²) on a particle that moves…

A: Work done on particles: W = F.dr

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

A:

Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

A:

Q: 8. The position function of an object is defined as: s(t)= t³-t²- 8t Find the minimum velocity of…

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: Prove the identity. sin 2, x = 1- cos x 1 + cos x Note that each Statement must be based on a Rule…

A:

Q: Assume a (t) represents the acceleration of an object at time t, v(t) represents the velocity of the…

A:

Q: Homework 12 Polar: Problem 6 Find the area enclosed by one loop of the lemniscate with equation ² =…

A:

Q: D4 − 1)y = 0 -

A: Topic:- solution of differential equations

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: Find all solutions of the equation in the interval [0, 27). 2cos’x– cosx−1=0 Write your answer in…

A:

Q: Find all the values of a such that the given series would converge. Answer: Note: Give your answer…

A:

Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Write the Taylor series for f(x) = xº about x = −4 as Σ Cn (x + 4)". n=0 Find the first five…

A: The given function is  f(x)=x3 about x=-4.

Q: Find the area of the region enclosed by the parametric equation x = t³ - 7t y = 6t²

A:

Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: Find the limit. lim 1→2(t i - 5 j + t² k)

A:

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. cos(8)= 4…

A: Given:     cos θ = 4/5

Q: SCALCET9 11.5.006. Test the series for convergence or divergence using the Alternating Series Test.…

A: Use alternating series test to check the convergence of series

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: To find out the tangent line approximation.

Q: Given: (x is number of items) 3844 Demand function: d(x) = √x Supply function: s(x) = 4√x Find the…

A: The demand function is given by dx = 3844x The supply function is given by sx = 4x To evaluate: The…

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to…

A:

Q: What are the cylindrical coordinates of the point whose spherical coordinates are (3, 5, 1)? r = 0 =…

A: Given: spherical coordinates ρ,θ,φ, here ρ=3,θ=5φ=π6 To find : cylindrical coordinates r, θ, z

Q: Find the equation of tangent plane to the surface z = ln (3x²) + 2y at A (1,0, In (3)).

A:

Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below