Solve the following recurrence relations: (a) an = 3an-1-2, ao = 0 (b) an 2an-1+(-1)", = ao = 2 (c) an=2an-1+n, ao = 1 (d) an=2an-1 +2n², ao = 3

Q: 3) dx xinx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: Find the length of the loop of the given curve. x = 6t - 2t³, y = 6t²

A:

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

A:

Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

A:

Q: Determine the x-value of all critical points for the following function. x² x-3 f(x) = x² x-3 The…

A:

Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A:

Q: The inverse Laplace transform of A. e³t (3 cos(5 t) + 5 sin(5 t)) C. e-3t (3 cos(5 t) + 25 sin(3 t))…

A: we want to find L-1 [ 3s + 34s2 + 6s + 34 ]

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

A:

Q: Sketch the curve. r = 9 cos(8) O -4 ac -2 O y 2 -8…

A: Given query is to sketch the curve and find the area.

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

A:

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: standard form of line is y=mx+c,  where m is slope dxndx=nxn-1d(constant)dx=0

Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

A:

Q: 7. The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A:

Q: Solve the equation: 3*²-5x x = 3 x = 5 and x = -5 O x = -5 x = 3 and x = -5 || 27.

A:

Q: 44. Simplify: cos 40° cos 30° + sin 40° sin 30° 45. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

A:

Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: Which of the following statements are true by the comparison test? A. The integral 5 da diverges…

A:

Q: given the sides of a right triangle ABC,C is the right angle AB= 17 and AC = 8

A:

Q: Let f(x) and g(x) be two functions that we know very little about. In fact, all we know is that…

A: Let fx and gx be two functions that we know very little about. In fact, all we know is that ∫12fx…

Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

A:

Q: The number of bacteria in a culture is given by the function, n(t) 930e0.5t, where t is measured in…

A:

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

A:

Q: 6) Show that (2xy, 2yz + is conservative.

A:

Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

A:

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

A:

Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

A:

Q: Use mathematical induction to prove the statement is true for every positive integer n. 4+8+12+ + 4n…

A:

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

A:

Q: 4- Say whether each given sequence is a geometric sequence, or not. Find the common ratio and the…

A:

Q: Use the arc length formula to find the length of the curve  y = 7 − 4x,   −1 ≤ x ≤ 2.  Check your…

A:

Q: Differentiate. g'(x) = g(x) = (x + 9√x)ex

A:

Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: lifted to the top of a 25 meter tall building by a rope with density 0.1 kg/m. However, the bucket…

A:

Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

A:

Q: Evaluate the integral 4x3 x² +1 - dx.

A:

Q: Consider the function f(x, t) = x³e-, where c is a constant. Find the indicated partial derivatives,…

A:

Q: Consider the ellipse defined as 9x² + 25y² +90x-50y +25=0 • write the standard form equation of the…

A:

Q: -1 Find f-¹(x) if f(x) Of-¹(x) Of-¹(x) Of-¹(x) f-¹(x) = = = 2x + 1 3 2+x 3x 2x - 1 3 2 - x 2 2 3x +…

A:

Q: Let f(x) = sin(z))". Find (1). (1).

A: