A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of getting a sum of 12? (Simplify your answer. Type a fraction.) www

Q: Find the limit as x approaches infinity of (2x-1)(3-x)/(x-1)(x+3)

A: Given query is to find indicated limit.

Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: Evaluate the integral. r1 7x dx

A: To evaluate the given integral

Q: Integrate each of the following functions using substitution, finding the most general…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: Which of the following functions is equivalent to f (x) = log₁ (16x)? Hint: There are 4 correct…

A: To find the function which is equivalent to the given expression

Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

A:

Q: A river is flowing downstream at a constant rate of 5 ft/s. We take a rectangular net that is 6 ft…

A: Given river velocity ( v ) = 5 ftsrectangular net whose area is A A = length × breadth

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

Q: Triple Integral Evaluate 2 x exty de dy fofofo 0² (y +22) Jan

A:

Q: t the correct answer below: ower series ot a power series n=0

A: Topic:- sequence and series

Q: Given f(x) = 3x2 + 5 and g(x) = –2x, calculate f(g(x))

A:

Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (D3-2D2-5D +6)y=e4x, Find Yp a. 1 O 24 O b. 1 0 1 6 O d. 4x 1 4x 18 O e. none 4x e

A: To find the particular integral of given differential equation

Q: A bacterial population is 2,000 at time t = 0, and its rate of growth is 1,000 8t bacteria per hour…

A:

Q: Find the limit (if it exists) of limx->3+ (3-x)/|3-x|

A:

Q: Find the orthogonal trajectories of the family of lines 3x + 5y = C A B C D 3x 5y = k 5x 3y = k 3x +…

A: Orthogonal trajectory

Q: lim √x ln x X x+0+

A:

Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex Ob.ex OC.-xex O d.xex

A: Given differential equation ( D2 -3D + 2 )y = ex

Q: 12. In(x + In(x + 4) dx

A: We are required to find the value of ∫ln(x+4)dx   We are also required to check by differentiation…

Q: 6. (continuous solution) + P(x)y= 4r where P(x) = 2 if 0 ≤ x ≤1 2 HIN if I ≥ 1 ,y(0) = 3

A: You have Asked only Qustion no. 6, 6. According to question,Given Differential equation,dydx + Px y…

Q: In Exercises 7-16, vectors and are given. Compute ū x v and show this is orthogonal to both ū and v.…

A:

Q: 9. Passes through P = (0, 1, 2) and orthogonal to both d₁ = (2,-1,7) and d₂ (7,1,3).

A:

Q: What is the differential equation of the orthogonal trajectories of the family of curves x²-3xy -…

A:

Q: A record company has determined that the cost of producing CDs is $0.04 per CD plus $657.60 per…

A:

Q: A certain bacteria culture is observed that the rate of growth of the population P at any time t is…

A: Given that rate growth of the population P at any time t is inversely proportional to square of the…

Q: #

A:

Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…

Q: are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by vt)…

A: Given query is is to find the velocity at indicated time

Q: Find the volume of the solid that is obtained when the region in the first quadrant under the curve…

A:

Q: on enclosed by the given curves. (A graphing calculator is recommended.) - x², y = 0 -1 y 3 2 1 y 3…

A: Topic:- application of integration

Q: Find the values of c such that the area of the region bounded by the parabolas  y = 16x2 − c2 and y…

A:

Q: Determine the solution of the following differential equations: (D³ - 3D² + 4) y = 40cos2x + 6

A: Let's solve given differential equation.

Q: Convert the point (r, 0, 2) = (1, 3, 5) to Cartesian coordinates. Give answers either as…

A:

Q: 120 2 A sides of lengths 6,10 and 7. Find the mesure of it's largest angle to the nearest degree…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

A:

Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

A:

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A:

Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 -sin 2x 15 -sin2x O c. 1 ➡cos2x 10 O d. 1 15 O e. none…

A:

Q: Given f (x) = x² - 4x - 2. Find the following: a) The vertex ( b) The parabola opens ---Select--- v

A: a) Vertex : (2,-6)

Q: 5. dy 0sec(y/0) + y de Ө

A: 6. dydθ = θsec( yθ ) + yθ

Q: nterval of convergence for the power series Econvergence = n=2 n(x - 2)" 22n (Enter your answer as…

A:

Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

A:

Q: lim (cos(2x)) ¹/x²_ +0x

A:

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola x = 4y -…

A: Answer is in step 2.

Q: 4. Use a linear approximation to estimate tan (47°).

A: Let's find value of tan(47°) by using linear approximation.

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $10 the…

A:

Q: (D3-5D2+8D-4)y= 2x, Find Y = Yc - Yp 1 a. O b. c+ciải tế giớ OC 12²³x²= + 12²x²5+ [²³²] + x³²50 -2x…

A:

Q: Given A ABC~ A ADE, find the length of line segment AC. B D 33 3 110 Picture is not drawn to scale…

A:

Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 Ob. 1.4% O c. 1 4x 4x O d. 1 4x e 18 O e. none

A: