2 For each of the recursive sequences below, find a recursive formula for the general term. a -2,-4, -6, -8,... b 1, 4, 64, 256, ... c 52, 5.2, 0.52, 0.052, ...

Q: After Julia has driven for a quarter of an hour, she was 170 miles east from Denver. After driving…

A: Given that after Julia has driven for a quarter of an hour, she was 170 miles east from Denver. So,…

Q: Given: 4xdx + ydy + xy²dx + x²ydy = 0, Find C if x = 1, y = 1

A:

Q: Use integration by parts to evaluate the definite integral Answer: te-t dt.

A: Given  that ∫06te-tdt.To evaluate : the definite integral.Solution :∫fxgxdx=fx∫gxdx-∫f'x∫gxdxdx…

Q: 47. 6 4 2 ++++ -4 -8 y 4 ++ x 4 8

A:

Q: nd the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS. y(x) = = Csinx +…

A: Topic:- application of derivatives

Q: 1. Sketch the graph of the function -1, f(x) = √25-x², (x - 5, x ≤-5 -5 < x < 5 x ≥ 5

A: We have to sketch the graph of the function.

Q: Is that 1 dollar per month or 1 months per dollar

A:

Q: Find the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS a. x Asin(wt +…

A:

Q: 2. Sketch the graph of f(x) = sin(x) on [0, π]. Estimate the average value of f on this interval,…

A:

Q: Find the indicated limit. x5 +4 lim x→1 5x5 + 5

A:

Q: Can

A:

Q: A. Verify if the given general solution is a solution of the indicated differential equation. 1.…

A:

Q: 24. k(x) : = x-2 2-x

A: Given that kx=x-22-xSolution…

Q: Obtain G.S. (xy + x) dx = (x²y² + x² + y² + 1) dy 01/2Ln (x² + 1) + 2/12/2 y2 2 ° In [(x ² + 1) ³²…

A: To find G.S.

Q: Solve for G GS 9dx = (x + √y²-x²) dy

A:

Q: X ·S=√x² +29 dx 14.

A:

Q: B. Verify if the indicated particular solution is a solution of the given differential equation. 1.…

A:

Q: 4. Set up an integral for the arc length of f(x) = 2ª + x² on [0, 1]. Do not evaluate the integral.

A:

Q: "classify the matrix as upper triangular, lower triangular, or diagonal, and decide by inspection…

A:

Q: Given: (x2 + 2xy - 4y2) dx - (x² - 8xy - 4y2) dy = 0, Find C if y = 1, x = 1 O 1.5 O 2.5 O 3.5 O 4.5…

A: We need to find C.

Q: 2y(x² − y + x)dx + (x² − 2y)dy = 0

A:

Q: For questions 9-10, use the following function: (z+1 z≤0 sinz r>0 9. lim f(2)= 2-10- (A.) ∞ (B.)…

A: Topic:- calculus  Note :- as per our guideline if more than three subparts posted than only first…

Q: 1. f(x) = 4x² + 2x - 3

A: Given query is to find the derivative of the function.

Q: Let f(x) be the piecewise function -2x + k f(x) = { x² + 1 if x < 1 if x ≥ 1

A: for continuous function

Q: The hyperbola is translated four units to the left and one unit down. (i) Write down the equations…

A:

Q: Give examples of concepts, priciples and formula of the mensuration of plane figures Please make…

A: To give the examples of concepts, principles and formula for the mensuration of plane figures.

Q: Calculate r' (t), T(t), and T(1) where r(t) = (2t³, 4t³). r' (t) = T(t) = T(1) = = 6t², 12t²

A:

Q: Find the domains and ranges of f, g, f+g, and f g for the functions f and g below. f(x)=x,…

A:

Q: Solve the first-order differential equations using an appropriate method. Find a general explicit…

A:

Q: Let f(x)=3x+8, x₁ = 2, X₂ = 5, x3 = 8, x4 = 11, and Ax=3. 4 (8) Find Σ 1 (x) Δ.Χ. i=1 (b) The sum in…

A:

Q: 41-42 Show that is continuous on (-∞∞). x¹ ifx1 41. f(x) - In x

A:

Q: I. Write TRUE if the statement is correct and FALSE if not. 1. {0} - Ø 2. (0,1,2) and () are joint…

A: Solution is given below:

Q: 7.    Evaluate the integral, which has irreducible quadratic factors. 7 (x − 7)(x2 + 2x + 9)  dx…

A: Given  ∫(x-7)(x2+2x+9)dx

Q: y C (0,7) O R2 R3 y=7√√x R₁ B (1,7) A (1,0) X

A:

Q: Instructions: For each of the following, classify as an Ordinary Differential Equation (ODE) or a…

A:

Q: Solve the first-order differential equations using an appropriate method. Find a particular explicit…

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

Q: xy² = x + cx³

A:

Q: Thank you but what about part d: which asks to solve f(1) ?

A:

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

A: As per the requirement of the student answer to part d has been provided

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A:

Q: Verify which of the following functions are the solutions of the differential equation x" - 4x + 4x…

A:

Q: Find the average rate of change of the function over the given intervals. h(t) = cott a. b. л Зл 4 1…

A:

Q: Given: 4xdx + ydy + xy2dx + x²ydy = 0, Find C if x = 1, y = 1 1 0 / 1x 2 + 1 = Ln5 = C 0√2 + √5=C 07

A: Given :

Q: Calculate the average rate of change of the given function over the given interval. Where…

A:

Q: Please put answers in image format for all steps. I'm having a hard time seeing the solutions and…

A:

Q: I am having trouble with graphing certain equations. How would I graph this? Can you please leave a…

A:

Q: Find the solution for following variable separable equation: dy/dx = (y²-1)/(x²-1), y(0)=0

A:

Q: Sketch the graph of the function f. -5x + 7 1 2 x² + 1 f(x) = = if x 1

A:

Q: Solve the DE: dx +[xcoty-y]dy=0.

A:

Q: Example 6: Solve (4x²y³ − 5y4 + 2xy5 − x¹)dx + (4x³y² - 20xy³ + 5x²y4+ 2y)dy = 0 The general…

A: