What is the absolute extrema of Q(y,z) = y2z2 on a region with vertices at the points (0,0), (0,4) and (4,0)?

Q: Find the line that is tangent to the graph of the equation 2x^y+3xy^2-2x=-6 at the point (3,0).

A: We have to find the line tangent to the given equation.

Q: company produces two types of drills, a corded and cordless. The cord-type drill requires 2 hours to…

A: Given that the cord-type drill requires 2 hours to make, and the cordless model requires 4 hours.…

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: Given,

Q: Use partial fractions to evaluate the integral. 2x²-1 (4x-1)(x² +1) dx

A: see below the answer and calculation

Q: Simplify. State the values excluded from the domain, if any. p²-6p+8 p²-8p+12 P-4 P-6P 6 and p = 2…

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Q: The world's population grows at the rate of approximately 2 % per year. If it is assumed that the…

A: we need to find the number of years to take the world population double.

Q: 3. For h(x, y, z) = ln(x² + y² - 1) + y + 6z and the point Po(1, 1,0), find the directions in which…

A: Let's find directional derivative and increases, decreases most rapidly at point Po.

Q: Evaluate the integral by interpreting it in terms of areas. L₁ (5+ √1-x²) dx

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Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: a. b. 1. C. d. e. f. g. h. i. j. (2y³ +42) dx = (6-2xy²) dy y² = ex s = [C(x - C₂)]³ 9y+2 y -to (sec…

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Q: Solve the following DEs (in implicit form): (a) [x² + cos y ]dy + [2xy]dx = 0 dy (b) _xy − y² + (1 −…

A: Note:- According to guideline we can do 1 question so i am solving first question all sub parts.

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 −…

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Q: X

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Q: If - xy + y = -4 then find point (2, 4) in simplest form. dy dx² at the

A: We need to find out the double derivative of the function at (2, 4).

Q: Assume that the radius r of a sphere is expanding at a rate of  30  cm/min. The volume of a sphere…

A: Given query is to find rate of change of area of the sphere.

Q: 5. G(x) = 5x Cos¹2x

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Q: For an invertible matrix with an LU factorization A = LU, both L and U will be invertible and A-¹ =…

A: NOTE: Refresh your page if you can't see any equations. . here LU factoriztaion is given

Q: Please find the area of a triangle with vertices (1,0), (2,2), (3,1) using integration Using this…

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Q: Evaluate the following indefinite integral § 13 sin(x) — 3 cos(x) dx = +C

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Q: 4. In what direction(s) is the directional derivative of f(x, y) = xy + x² at P(2, 3) equal to 0?

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Q: 9. Earned Run Average. A pitcher's earned run average E varies directly as the number R of earned…

A: Topic- direct and inverse proportion We are given,  A pitcher's earned run average E varies directly…

Q: Find the solution to the following differential equa- tion: dy dt - 4y= 10 sin(2t) y(0) = 0 (a) y(t)…

A: The given differential equation is; dy/dt - 4y = 10sin(2t) , y(0)=0.

Q: Given f(x, y, z) = √√√− 6x + y − 2z,

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Q: Assume y(x) is the solution to the following initial value problem given below. Find what y(π) is.…

A: y2dx-csc26xdy=0

Q: Where: z = the weekly # of pounds of acetate fiber x = the # of skilled workers at the plant y = the…

A: We have given   z= f(x ,y)= 13000x+5000y+14x2y-8x3  Find  D) fx when x = 19 and y= 42  E) fy when x=…

Q: On a sketch of y = ln(x), represent the left Riemann sum with n = 2 approximating ſå ln(x) dx. Write…

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Q: If −y³ + x³ - 4x² + 1 = 0 then find at the point (3,-2). dy dx Answer: dy dx (3,-2) Submit Answer…

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Q: 3. Solve for x: a. log₂(2x+3) = 0 b. e3x-2 = 105. Use a calculator to find the answer.

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Q: The direction angle y of the vector (1,1,1) is 45° Cos-¹) 60° 30° BO .CO .D O

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Distance (d)=213 unit

Q: Evaluate the indefinite integral: [ (6e" + 5 sec² u) du = = ← + C.

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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Q: Evaluate the following indefinite integral fx-¹5/4 dx = = +C

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Q: 9. Let f(x) = cos 2x. Calculate f(50) (x), the 50th derivative of f(x).

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Q: Your teacher has given you the innitial valve solve it and write problem. your as a symbolic…

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Q: Use the Product Rule to find the derivative of f. f (x) tan (x) sec (x)

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Q: dy 5) Find the general solution of the non-homogenous differential equation : da x+y+4 5x + 5y +3

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

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Q: A) The area under the curve y 8 2² from x = 1 to a = t is equal to B) The area under the curve from…

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Q: Find the derivative of the function. g'(x) = g(x) = '7x - [²3² = 1 0 [po: du √3x *7x 0 7x : [[ ^*…

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Q: The cartesian coordinates of the point P is: ← A 0 2 1 32 R P (1, 0, 3) AC (1, 2, 3) BC (1, 2, 0) Co

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Q: Solve the following differential equations. xy dx + (x2 - 3y) dy =0

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

Q: 3 a. Find an equation for the line perpendicular to the tangent to the curve y = x - 16x + 4 at the…

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Q: The point (-12,4) is on the graph of y = f(x). Find the corresponding point on the graph of y = 9…

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Q: Use the Theorem of Pappus to find the volume of the torus formed by revolving the circular region…

A: Given expression: x-92+y2=9       ..........(1)

Q: EXERCISES Evaluate each of the following integrals. [2 (17z - 6) dz z³-2³-6z

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Q: For the equation given below, find 3 x³y² – 3 x²y 5 dy dx II HO dy dx M

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Q: Determine if the following function (image 1) is derivate at the indicated value. If so, indicate…

A: See the answer below

Q: Evaluate the following indefinite integral

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