13. The following functions are given: log3 X +3 4x-15 ● f(x) = g(x) = 2x+8 What is the value of f o g (8)?

Q: 2. [e²y - 2y ycos (xy)] dx + [2ce²y - xcos (xy) + 2y] dy = 0

A: We have to find the solution of given differential equation.

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: The marginal revenue for a certain company is given by the function R' (x) = 100x-1/2 where R'(x) is…

A: Given.

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A:

Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: (a) Write the parametric equations of the line obtained in example 1. (b) Provide the corresponding…

A: Explained below

Q: b) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an…

A: The object is to write an equation that represents the total cost.

Q: (a) IM8 k 서

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

A:

Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

A:

Q: у ху X Sin x

A:

Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,…

A: As we know from the Sine Rule: asinA=bsinB=csinC   Given: So, B=32°, a=30, b=29, c=x

Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

A:

Q: Q5: If y=tant and x = cost then at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e)…

A:

Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

A:

Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)3 ℒ{f(t)} =

A:

Q: 9. Evaluate 18x dV where E' is the region behind the surface y = 4 - 2² that is in front of the…

A:

Q: Evaluate tan |2x| dx F

A: The given definite integral,    ∫-π8π6tan2xdx

Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

A:

Q: Find

A:

Q: If f(0) = -6, f'(0): = 3 S³ = x. f''(x) dx = = - 20, f(3) = 297 11 and f'(3) X 18 then: -49

A:

Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

A:

Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: Determine the volume generated of the area bounded by y=√√x and y=- (A 128/15 (B) 112/15 Ⓒ136/15 (D…

A:

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: Given the function F(x) = 2x 3 - 6, find the value F(-1). 10 -8 -4

A: Solution is done in step 2

Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

A:

Q: Find the general solution of the differential equation: dy dt Use lower case c for constant in…

A:

Q: (-1)kk Determine whether the series converges absolutely, converges conditionally, or diverges Σk=1…

A:

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(n) = 0 if n= d)5 e) others

A:

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

A:

Q: Hello, complete the attached Calculus question correctly and show all your work completely without…

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Q: 1 Sa dy secy tany S sin ²x cos²x dx 2. S

A:

Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

A:

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: O =^P^-^2) TAPE 2

A: Topic:- differential equations

Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

A:

Q: 29. Verify that the piecewise-defined function 1-x², x<0 x ≥ 0 is a solution of the differential…

A:

Q: Determine the maximum and minimum of each function on the given interval 9 a. f(x) = x³ - 12x + 2,…

A: