11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to approximate to 4 decimal places. P3 (2.3) Find the actual Value (put 2.3 in for x in f(x). = D. Find the error by subtracting from the actual value around c = 2. (4 decimal places)

Q: Let f(x)= - (2.-17). a. Use the following definition of the slope of the tangent line at x = a to…

A:

Q: 4. Determine the values of a and b such as the two vectors (2,1, a) & (b,-2,2) are a. Perpendicular…

A: We hae to find the vales of a and b for the given conditions.

Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

A:

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

A:

Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

A:

Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

A:

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A:

Q: Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ f(-1.1, 6): = tan(x) + y and u is the unit vector in the…

A: f(x,y)=sqrt(tanx+y) , (x, y) = (-1.1,6) Unit vector in the direction <-1,1> Find the gradient…

Q: A projectile is fired vertically upward into the air; its position (in feet) above the ground after…

A:

Q: 3. Use the Fundamental Theorem of Calculus Part I to determine the derivatives of the following: (i)…

A: We need to solve Integral problem.

Q: 4. Find the distance between the planes: 4x+3y-2z=20 and 4x+3y-2z=-11. a. Find any point P on the…

A:

Q: Approximating the integral de by using the Trapezoidal rule and using, integral of: O 135.5 O 137…

A:

Q: Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,…

A:

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: dy dx + 2y = x³e-2x

A: The given differential equation is: dydx+2y=x3e-2x

Q: What is the reference angle of θ if θ = –137°? A 43° B 47° C 137° D 223°

A: Explanation of the answer is as follows

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

A:

Q: Find the distance, d, between the point S(9,3,6) and the plane 1x + 1y+7z= The distance, d, is…

A:

Q: (2) Prove that TT/2 S tane Z coś 0 (1 + tano) ² 11 #la

A:

Q: The interval solution to the inequality (-2,2) □ (-∞,2) [2,00) (-2.21 3(x + 2)² - 6x(x + 2) (x + 2)4…

A:

Q: Question 8 What are the domain, range, and period of the function f(θ) = –3cos(–2θ)? Answer in…

A:

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

A:

Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

A:

Q: TT Find the Taylor series at x = for 7sin(x). (Make sure your answer has at least three terms.) 2

A:

Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

A:

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: f(x) = x + 1 X

A:

Q: Integrate by partial fractions: x² - 4x + 4 r(r - 1)³ -dx

A:

Q: Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. Find…

A:

Q: Q5 Use the graphs below to fill in blank for Q(5.1)-Q(5.6). Write DNE" for Does Not Exist" or NEI"…

A:

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A:

Q: a⃗ =⟨2, −3⟩ and b⃗ =⟨1,4⟩​. Represent a⃗ +b⃗ by using the parallelogram method. Use the Vector…

A: vec a = < 2, - 3 > vec b = <1, 4 > to evaluate and draw  vec a + vec b by parallelogram…

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

A:

Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+1x2-1

Q: Find the Laplace tranform of the ff: e3xsin4x

A:

Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

A:

Q: Divide. 4+i -2+3i Enter your answer, in standard form for complex numbers, in the box. 4+i -2+3i ||

A: Given

Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: Find the annual percentage yield, to 3 decimal places, for an investment at a) 8.6% compounded…

A: We are required to find: The annual percentage yield for an investment at:a. 8.6% compounded…

Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

A: