Determine the relative extrema of f, if there are any, and locate any saddle points. a. f (x, y) = xy + = + X Y 3 2,

Q: Find and dy dx x = 3t - 3ln(t), dx dy dt' dt y = 8t² - 8t-2

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Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: Find the exact slope of the tangent line to the 5 cos(t) 2 sin(t) parametric curve t co/= 3 X { y =…

A: slope is  dydxdydx=dydtdxdtdsintdt=costdcostdt=-sint

Q: For the D.E. d+7x²y = 0 y(0) = 2, the value of y(1) is

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Q: Find the domain of y = log(4 - 3x). The domain is: Ox≤ A Ox> A Ox ≥ A 0x<A where A = 3x X syntax…

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Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits.…

A: according to guide line we do only firt part . please re post other part 1)   limx→01+x-1-x2x2if we…

Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: Find the arclength of the curve x with 2 ≤ t ≤9. 1 3 Y - 2

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Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

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Q: Find the x-coordinate of the point on the graph of f, between points P and Q, at which the line…

A: Let (x,y) be the point at which the tangent to f(x) is parallel to line PQ.

Q: 4) Write an equation for a sphere centered at the point (4,6,-1) with radius 8

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Q: What amount must be set aside now to generate payments of $30,000 at the beginning of each year for…

A: We are required to find Amount that must be set aside now to generate payments of $30,000 at the…

Q: Find the general solution/ particular solution. 1. (D²+4)y=4 cos²x y(0): .y'(0) = 2

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Q: The population of a town is now 40,000 and t years from now ill be growing at a rate of 300 sqrt of…

A: Let Pt be population of town at any time t

Q: If sin x=3/5, x in quadrant I, then find (without finding x) : sin(2x)=___ cos(2x)=___…

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Q: m confused by the step where it goes to (1-cos(pi)). Where does that come from?

A: Please look at the step  4

Q: Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not…

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Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: 2. (I+x)y'= x'li+x³'2-ху xy

A: To solve the following linear differential equation.1+x2y'=x-11+x212-xy

Q: 8.) 3 -1x + 5 S²₁ dx

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Q: 60. a. Find the linear approximating polynomial for the following function centered at a. b. Find…

A: Given that , fx=16x32 and a=9

Q: A triangular parcel of land has sides of lengths 920 feet, 330 feet and 914 feet. a) What is the…

A: Given length of side of triangle 920ft, 330ft, 914ft We will use Herons formula to find area…

Q: The graph on the next page shows the velocity v(t) of a runner in metres as a function of time t in…

A: Aim: We need to underestimate and overestimate the distance covered by the runner in first 5…

Q: f(x) = 2x + 3 and g(x) = 3x + 2 then g°f(x) =

A: Given query is to find indicated composite function.

Q: The first derivative of a continuous function y = f(x) is y' = x(x − 3)². Find y' and then use the…

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Q: 5 Question 3 Use the divergence theorem to find the total flux out of the solid 0≤x≤1, 0≤ y ≤1-x,…

A: We need to choose correct option.

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

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Q: T. SOLVE THE GIVEN BERNOULS EQUATION 32 xdy + ydx = 3x³y²dx

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Q: If f(x) = [² cos(t)dt then f'(x) =

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

Q: Suppose f(x, y) = x²y + 6. Compute the following quantities: f(0, 0) f(4, -3) • f(-3, 4) . . = =…

A: NOTE: Refresh your page if you can't see any equations. . substitute (x,y)=(0,0)

Q: 81 81 Suppose that a₁ = 24 and b₁ = 30. Compute the sum. Σ i=1 i=1 81 Σ (6a; +23b₂) i=1

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Q: The price-earnings ratio of a stock is given by P RP,E) = E where P is the price of the stock and E…

A: Given: Price per share of a certain company, P = $30.13 Earning Per share, E = $1.84

Q: (D4 + 5D²+4) y = cos (3x +4)

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Q: Inverse functions, Exponentials, and Logs Answer all questions, Show all work. 1) a) Find the…

A: Note:- these are multiple questions according to company we can do only 1 question so i am doing…

Q: Write the Taylor series for f(x) = sin(x) at x = 2 Find the first five coefficients. Co= C1= C₂= C3=…

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Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

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Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: Question Using Desmos, plot the point -1, 5TT 3 in the polar plane.

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Q: Solve the given LDE using the method of undetermined coefficients. (D2+D-2)y = 2x -40 cos 2x

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Q: Of all students at the University of Metropolis, the proportions taking certain numbers of units are…

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Q: ܠ -8 V64 - x2 1 1+Jx2 +y2 dy dx

A: To find:- ∫-80∫-64-x2011+x2+y2dydx

Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.

Q: Evaluate the following integral: by-hand S*(1-x-4x²³ + 2x³) dx; n = 4 -2 2016.875 1416.875 1716.875…

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Q: Integrate csc^5x dx using integration by parts

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Q: Question -10 Considering the interval (-4,1), does the Mean Value Theorem for integrals hold for…

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Q: Evaluate. 2 0 √2x dx

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Q: Suppose parametric equations for the line segment between (3, 0) and (4, — 10) have the form: [x(t)…

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Q: A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top…

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Q: to go to obtain an increase of Problem 2. Consider the function f(x,y) = y ¹ | ²₁ (a) What is its…

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Q: Find the Taylor For n = 2, P₂(x) = For n = 4, P₁(x) = polynomials of degree n approximating cos(2x)…

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