Match the function with one of the graphs below using horizontal asymptotes as an aid. f(x) = 5+ H -2 A Vinta I

Q: -2/√√/3 dx x√√x²-1 • [²/²2 (x + 12/²3). dx sin² π/6 28. • √2 30.

A:

Q: Sa 2x²+2+x³+x² =dx = [Aƒ (x) — B ln(g(x)] + D fb dx, and if A = ,B<0, then f(x) dx x+2 x² 2x + + 5…

A:

Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

A: This question can be solved using the concept of limits.

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

A:

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

A:

Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

A:

Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

A:

Q: Integrating Factor by Inspection: 9. (x4y+)dx + xy³dy = 0

A: Let the differential equation is of the form Mx, y dx + Nx, y dy = 0  ...........(1) If Mx+Ny≠0 and…

Q: At each point (x,y) on the curve, the slope is 2x+1. The curve passes through the point (-3,0). Find…

A:

Q: lim (√²-x-√√² + x) H418

A:

Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

A: We have to find the total area between the curve and the given interval on the x-axis.

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: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

A:

Q: 1o. 1 |x-3|dx

A:

Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: x²+x+1 Sa 2x²+2+x³+x² (A (B (D) -b dx dx = [Aƒ (x) – B ln(g(x)]å + D ſb da , and if A = ‚B < 0, then…

A:

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP₁: -60x + 90y + 60z…

A:

Q: Using trigonometric substitution to solve: f 1 A + C 8 sec x√4-sin2x sin 2x + C 4 cos x√4-sin²x sin…

A: Solution is given below:

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. - 3. lim 1-3 (x − 3)…

A: limx→0 sin xx =1   and   limx→0 tanxx=1.

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: Let f(x) = 3x + 6 x + 7 Find: 1) the domain in interval notation Note: Use -00 foroo, oo for oo, U…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: domain means value of x which we can put in equation here is in root value cant be less than 0 t -…

Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

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

Q: Find the arc length L of the graph of r(t). L = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

A:

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

A:

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A:

Q: Describe the long run behavior of f(p) = (p+ 2)(p+ 4) (p + 5): As p →→ ∞, f(p) → ? ✓ As poo, f(p) →…

A:

Q: 1. f/² sin (1) cos (4) Sir sin (²) dx (Consider initially the first 2 terms)

A:

Q: Question 5 A) O B) 48 32 D) 96 If f cos+2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4

A:

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A:

Q: dy II. Find Do not simplify your answers. dr 2. y= tan ¹(coshr) (sin²x) (sech x)secz S [use…

A:

Q: 2x-y if F(x, y) = xy é e af ар ay ах find

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 20 x³ dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

A:

Q: 21. 5₁ 1 dx (A) 2 So to dx dx both diverge when p = xP (B) 1 © DO dx and (E) -1 HOR LAY A DUPA

A: Divergent

Q: Find fa, fy, and fz. f(x, y, z) = 5z ln(x³y³ cos(z)) fx = fy fz f₂ = =

A:

Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

A:

Q: The radius of a circle increases at a rate of 2 m/s. Find the rate at which the area of the circle…

A:

Q: Using trigonometric substitution, what is √x²-9dx ? f x3 A sec (-) √x²_9 6x² +C B ¹ (1) - V +C (ⒸC)…

A:

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1 + ²/ 1. lim x12x² + x1

A:

Q: our answers.

A:

Q: Consider the partial differential equation u, + uux = 7+ uxx: Determine the order of this equation;…

A: Given differential equation:- ut +uux =7+uxx

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: VI. Suppose h' is continuous at x = 0 and h'(x) =tan(2x) - 1 if x > 0. Find h(0), if it exists.

A: Let's find.

Q: (D² — 4)y = 8e²x — 12 - -

A: Given; D2-4y=8e2x-12 So, the auxiliary equation is; m2-4=0

Q: 27 If (2x 3) [133] [3] 3] -3 23 1. 2 13 2 2 3. 13 2 23 2 - 0, then the value of x is

A:

Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

A:

Q: Ex. (10) Sol Solve y"-2y' + 2y = 2x+3

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: