What is the area bounded by the curve y =x and the line x-4 =0? A. 11 B. 31/3 C. 10 D. 32/3

Q: For the function, find the second-order partials fxx, fxy, fyx, and fyy. f(x, y) = yex - x In(y) (a)…

A: For the given function, to find the second-order partials fxx, fxy, fyx, and fyy. fx, y=yex-x lny

Q: A continuous income stream has an annual rate of flow at time t given by f(t) = 12,000e0.03t…

A: A continuous income stream has an annual rate of flow at time t given by f(t) = 12,000e0.03t…

Q: A space ship is to be launched from the surface of Venus, which has a radius of about 3760 miles and…

A: Given that,  radius (R) = 3760 miles = 3760 * 5280 ft = 19852800 ft. Surface gravity  (g) = 29.1…

Q: For the function g(x) = 2x³ - 24x+9 a. Find the critical numbers b. Use the first derivative test to…

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Q: Solve for z. Give an exact answer. 6z - 9 = eln(18) Z =

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Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1200x dollars and…

A: To find out the number of units that will produce the maximum profit and also the maximum profit.

Q: Question 5 Solve x4y (4) + 6x³y (3) + 25x2y + 19xy' + 81y=0 where x > 0 c cos (31nx) + c sin (31nx)…

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Q: [e-32-2³ d. z. Write your resul in the form- Carry out the following integration: ea -3-322+c. What…

A: To find the value of alpha.

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(u² - 346 - U² + ·…

A: Given integral  ∫( u7 - 3u6 - u4 + 63 )du Formula used  ∫xndx = xn+1n+1 + C

Q: ASK YOUR TEACHER Find the change in cost C for the given marginal. Assume that the number of units x…

A: Short Explanation::-

Q: Consider the vector field F = (5x + 4y, 7x + 5y) Is this vector field Conservative? Select an answer…

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Q: A particle is moving in the plane so that at time t it is at the point x, y, where x = cos(t³ + 7),…

A: We have given x = cos(t³ +7), y = sin(t³ + 7) To find: we need to find the distance between times…

Q: A. Laplace Transform. Determine the Laplace Transform of the following equations. 1) cosh(5t) –…

A: The given trigonometric expression is:(1).   cosh(5t)-sinh(5t)

Q: Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and +2y-8=0. A. 11.7 B. 4.7 C. 9.7…

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Q: c. Repeat part a with h = 0.025. Compare the results with those found in a and b. d. Find the…

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Q: What is the final value of the following postfix expression: (Hint: You can draw a tree if it helps…

A: 9 3 / 5 + 7 2 - *

Q: i. ii. the length of the perimeter of the site. the total area of the site to be developed. 29.5m…

A: SOLUTION:-   Given that we have surveyed one of the buildings sites which your company is to…

Q: (A) Find the parametric equations for the line through the point P = (-4, -2, 0) that is…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y = √√√x, y = 3 and the…

A: y=√x ,y=3 About y axis

Q: 4. 2x x²y" + (x − x²) y' - e²x y = 0

A: SOLUTION:-   Given,    Differential equation is x²y"+(x-x²) y' – e2x y = 0.   We need to solve the…

Q: Use the values 3 1³ F(x 16 90 f(x) dx = 6 and g(x) dx = 2 to evaluate the definite integral.

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Q: Find the maximum for the profit function, P = 3.25x + 1.5y subject to the following constraints. y ≤…

A: Find the corner points of the feasible region. The corner points areA75,435, B(0,3), C207,507,…

Q: Undetermined Coefficeints Method The table is in the picture Solution Steps: 1. Solve for Yc. 2.…

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Q: Consider the vector field F = r(t) = t²i+t³j, 0≤ t ≤ 2 Calculator Check Answer Evaluate IF F. dr…

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Q: Consider the following. -4 Find its foci. y 8 6 S Find an equation of the ellipse. smaller x-value…

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Q: Change the point (4, -pi/4, 2) to rectangular coordinates

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Q: The following sphere has a radius of 3 ft and holds rice that is at a depth of 4 feet. The weight of…

A: To find the volume of rice in the sphere, we need to use the formula for the volume of a spherical…

Q: Tmin = 0 Tmax=2 XT = -1 + YT = 0 T 2 8+ 7 6- 5- 4- 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5- -6…

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Q: If log(5) + log(y) = log(z), then 5 + y = z. ---Select--- V If In(5x) = In (y), then 5x = y.…

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Q: 6. Compute the integral ²₂ ده ایم dydx by switching the order of integration.

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Q: Find the volume of the solid that lies under the plane 4x+10y-22+19-0 and above the rectangle R ((x,…

A: The equation of plane 4x+10y-2z+19=0 and Region R=x,y:-1≤x≤4,-1≤y≤1

Q: If w is an eigenvector of A, how does the vector Au compare geometrically to the vector ? O A is a…

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Q: Evaluate the following. √ [(x − 3y +z) ds - S: z = 19 - 6x + 6y, 0 ≤ x ≤ 5,0 ≤ y ≤ 3

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Q: Find the area of the region inside the circle r=-6 sin 0 and outside the circle r = 3. The area of…

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Q: 4. Evaluate - 2 sin(32) dr.

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Q: Given f(x, y) = 2x² + 6xy² + y³, find frz(x, y) = fry(x, y) =

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Q: hort Answer 1. Identify the coordinates y=2e1-2x-1. State of any local maximum or minimum values of…

A: Let c be the critical point of a function f. If f"(c)>0 then f has a local minimum at x=c If…

Q: tangular coordinates of a point are given. Plot the point. (Select the correct graph.) (0, -3) 2 -2…

A: (0,-3)

Q: If the total cost function for producing x lamps is C(x) = 720 + 37x + 0.8x2 dollars, producing how…

A: If the total cost function for producing x lamps is C(x) = 720 + 37x + 0.8x2 dollars, producing how…

Q: Find the solution of the following initial value problem. 1 1 3 3 v'(x) = 8x + 8x ; v(8) = 25, x > 0…

A: Find the solution of the following initial value problem.  v'(x)= 8x13+8x-13; v(8)= 25, x>0

Q: 5. An electronics store sells three models of tablets. The number of each model sold during "Black…

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Q: 8) Find dy/dx by implicit differentiation. 2xy-y2=1 A) dx = y x-y dx X C). *| dx y-x dy y dx y-x

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Q: 1.. The astroid curve below is defined by the parametric equations x(t) = 2 cos³ t, y(t) = 2 sin³t.…

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Q: Consider the vector field F = Evaluate Jo r(t) = t²i+t³j, 0≤ t ≤ 2 248 Calculator Check Answer X F.…

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Q: A subject in a psychology experiment who practices a skill for x hours and then rests for y hours…

A: SOLUTION:-   Given, A subject in a psychology experiment who practices a skill for x hours and then…

Q: If the total revenue function for a computer is  R(x) = 2600x − 11x2 − x3,  find the level of…

A: Given: The total revenue function for computer is:R(x)=2600x-11x2-x3 We are required to find: The…

Q: y (5-x) 2 6) Verify Rolle's Theorem on [0,5] for the function f(x)=x√5-x and algebraically determine…

A: We have to verify the Rolle's theorem and then find values of c. According to Rolle's Theorem, if a…

Q: sin(49t) sec²(cos(49t)) dt

A: given integration :-∫sin(49t)sec2cos(49t)dtthen we have to evaluate it

Q: Find the tangent unit vector (T) and curvature (K) for the following curves. a. r(t) =…

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Q: Consider the following vector field F(x, y) = M₁ + Nj. F(x, y) = yi+xj (a) Show that F is…

A: The solution is shown in step-2