Find the area of the shaded region. 21) 2- y = 2 2 sin(my

Q: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2…

A: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular. We have, A= 2i…

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship…

A:

Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

A:

Q: Find the critical number for y = f(x) = x (x + 2)²

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

Q: A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3…

A: answer is in next step . please give a like !!1

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: ["[" f(2,3) dy dr True False [1 f(x, y) de dy

A:

Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

A:

Q: 6) y = (4 - x2/3) 3/2 from x = 1 to x = 8

A:

Q: 19. Find each indefinite integral by using appropriate substitution. /etanxsecxdx

A:

Q: Find an antiderivative F(x) with F'(x) = ƒ (x) = 11+ 15x² +14x6 and F (1) = 0. Remember to include a…

A:

Q: Question 6 Evaluate the integral and choose the correct answer. fe¹²x dx 01 다 F2 Cete 2 01 jet + C…

A:

Q: The cost of producing a double filter respirator full face masks is c(x) = 15+ 10x a² (in dollars).…

A:

Q: A force of 20 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: The force function is f(x)=kx ,where k is the spring constant and x be the spring stretch.

Q: Find the polar equation for the Cartesian curve ² Or 1 T= cos 2 1 Or=sin @tan 0 2 T = Or= Or T = 1 1…

A: The given cartesian curve x2=y2 we have to find the polar equation

Q: A particle is moving with acceleration a(t) 24t+12. its position at time t = 0 is 8(0) = 13 and its…

A:

Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A:

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: Solve for general solution of this Homogenous DE .(show complete solution) xydx - (x^2+3y^2)dy =0…

A:

Q: Alden works in the city and lives in the suburbs with Nikka. Every afternoon, Alden gets on a train…

A: We need to determine the time Alden walks.

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

Q: limit, if it exists. 5X +8 x--4x - 7 ree of the numerator is equal to equal to the degree of the…

A:

Q: Question 8x + 1 Find the domain and range of f(x) 8x - 8 Express your answer in interval notation…

A:

Q: Find the divergence of the vector field F(x, y, z) = ln(x² + y²)i + xyj+ln(y² + z²)k. 0 21 2z x² +…

A:

Q: v=√ √31-3j w=i-j gle between v and w; (c) state whether the vectors (a) v-w= (Simplify your answer.…

A:

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 2) sin (2x − 2) . If ƒ (2) = 7, what is…

A: The derivative of the function f is defined by f'x=x2+2sin2x-2 and f2=7

Q: The radius of a sphere is decreasing at a constant rate of 5 feet per minute. At the instant when…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 15 between x =…

A: The area under the curve of function f(x) = 6x + 15 between x = 4 and x = 7 is given by,…

Q: 13) Eloise contracts to work for 11 ​days, receiving $0.04 the first​ day, $0.12 the second​ day,…

A:

Q: the complete solution. Kindly, include the necessary table of values. 7. A body at a temperature of…

A:

Q: the blank(s) provided. 9. The y-intercept of the function f(x)=4(2) is 10. To the nearest hundredth,…

A:

Q: 1 Find an antiderivative of 9 x¹ +4 x6 ار داشته in the variable x where x > 0.

A:

Q: All of the sides of the square are the same length. Use this information to solve for y. y = 3 y = 7…

A:

Q: Question 3 In changing variables to cylindrical coordinates, the dV in JO f(x, y, z) dV becomes p dz…

A:

Q: In general, the profit function P(x) of a product or service is defined as the difference between…

A:

Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter ∞, type infinity with a lower case i.…

A:

Q: Find the derivative of the function by the limit process. g(t) = ³ + St g'(t)=3t+5 Submit Answer

A: given       g(t) = t3+5t Derivative of the given function follow this formula   d/dx (xn) = nxn-1…

Q: 20. Verify by differentiation that finx dx = x(In x-1) + C, then use appropriate changes of…

A:

Q: Find an antiderivative of 9 x³ +6 25 26 Antiderivative = in the variable where x > 0. Remember to…

A:

Q: 0px + xp (xxx)

A:

Q: H.w2: Use Runge-Kutta Method with (h = 0.1) to solve the eqaution y" + 3xy' -6y=0 with y (0) = 1,…

A:

Q: Let f(x) = x³ + 3x² - 24x + 18. (a) Use the definition of a derivative or the derivative rules to…

A: Function

Q: jw F(w). - A [a-acos (wir)] Tjw jwF(W) = -2A (1-c0s (NT)) Тјия ex jwF(W) = -2A (asin" (WI)) t F(W) =…

A:

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

A:

Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

A:

Q: Find all critical points for f(x)=x²-x² - 2x + 1.

A: Our Aim is to find all the critical points for f(x)=x3-12x2-2x+1 -(i)

Q: The volume of a sphere is decreasing at a constant rate of 1515 cubic meters per minute. At the…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Here we will find dh/dt,

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: