Find the nth Taylor polynomial centered at c. f(x) = ln(x), n = 4, c = 6 P4(x) = X

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: Solve the given differential equation. All solutions should be found. dy_x³_8y x5 - 8y dx X NOTE:…

A:

Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

A:

Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)=…

A:

Q: 1. 2. 3. 4. 5. Stan² z dr cot cot2 r dr COS I da sin² x 2 COST da sin r 1₁ sin a cos² x + z] dz 6.…

A:

Q: Integrating Factor by Inspection: 7. xdx + ydd = (x² + y²)dx

A:

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: y = 2 x + 2 -3+x

A:

Q: Use the function to find the image of v and the preimage of w. T(V₁² V₂) = (V₁ + V₂₁ V₁ V₂), V =…

A:

Q: Y 4- y = f'(x) 3 -3 -1 (1,0) 2 3 -4 (-3,0) W (0,-0.5) (2,-0.5) (3,-2) -1,-2) -3- (-1,-3) (4, -3) 2 I

A: Observe the graph and answer the question.  Concept:  h'(x) = 0  : h(x) has local maxima Or minima…

Q: The general solution of y' = Y can be written in the form = C

A:

Q: 19. -π/2 21. -π/4 23. [³5e* dx sin 0 de cos x dx sec² 0 do (2x secx tan x) dx 20. rπ/3 22. 24. [¹-dx

A:

Q: fx-2dx

A:

Q: nto v. t of u orthogonal to v.

A:

Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 3 P3(x) =

A:

Q: Find the volume generated by revolving the given bounded plane area about the line. Use shell…

A: Volume

Q: Solve the D.E ý - 25 +2y = 2 X73

A: Please read whole answer your doubt will be cleared.

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√√x-1 1. lim x-5 x² - 4x - 5 2x…

A:

Q: Show that the lines L₁ : x = 4-t, y = 2t, z = 1+ t and L₂ : x = 1 + 2t, y = 3 - 4t, z = 5 – 2t are…

A:

Q: If what does the following integral equal? -2 p(u)du = | - 4 3 p(u)du = 4 and p(u)du = 8.3 - 4 3

A:

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or…

A: Use the ratio test for checking the radius of convergence of series

Q: Integrating Factor by Linear Equations: 9. +xcoty ecosy =

A: Given that a differential equations and we solve this differential equation by using integrating…

Q: Find the value of x + y, if 1. 4 2. 1 3. -3 4 6 [2x 7 5 -y = [8 7 3 D

A:

Q: IV. Do as indicated. 1 1. Let f(x) Find the equation of the tangent line to the graph of f'(r) at…

A:

Q: y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

A: We have to find dx/dy

Q: 1) fx-²dx 2) sin(n)dx

A:

Q: ST/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: 8 Given: (В © √³x³sin(2x)dx= F4 5T 6 21 Зд TL 277²-24 64 T Find bif sb st

A: Solution is given below:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

A:

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Domain -3 ≤ x ≤ 8 -5 ≤ x ≤ 5 -7 ≤…

A: We can find the domain of the equation as below.

Q: II. Find Do not simplify your answers. 1. log, (2x² + y) + tan(x − ³) = sin−¹(x² − 1) +

A: Given problem:-

Q: dx secx+1

A: First simply the equation Using Trigonometric identities.

Q: A continuous O Ext F(XI = Find ***** V-V- K x has CDF X Co oxx cl 15X value of k 16 17 18 19 20 21…

A:

Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

A:

Q: Solve the DE ý - y = x

A: See the details solution in below

Q: y"+9y=2e³x

A: Given; y''+9y=2e3x So, we can also write as; D2+9y=2e3x So, the auxiliary equation is; m2+9=0

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: lim 1-3 (r-3) tan(9-x²) sin²(2x - 6)

A:

Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

A:

Q: Find polar equation for the Cartesian equation 13y = 8x. a. theta = 1.02 c. theta = 0.55 d. r = 0.55…

A: Substitute x=rcosθ and y=rsinθ in 13y=8x. 13rsinθ=8rcosθ  13sinθ  =  8cosθ

Q: V. Given: -2, if x ≤2 f(x)-[2x-5]. if 2 3 1. Determine if f is continuous or discontinuous at z=2…

A:

Q: Find Duf at P. NOTE: Enter the exact answer. Duf= f(x, y) = sin(3x – 4y); P(4,3); - = u 3 i

A:

Q: Use Squeeze Theorem to evaluate lim X→+∞ cos (x) log ₁/2 (x)

A:

Q: (measured counter- 1. A circle with radius 2 is centered at the origin (0,0). For an angle clockwise…

A:

Q: Write an equation for a function that has a graph with the given characteristics. The shape of y =…

A: We can find the correct answer as below.

Q: u be a differentiable function of du (a) (er) dr d du (b) = (6") = b. Inb dr dr 1 du (c) (In u) dx u…

A:

Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

A: