Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none of the above

Q: xy a. Compute the first- and second-order partial derivatives of f(x, y) = xe with respect to both x…

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Q: dw For the functions w= -5x² + y², x = cost, and y = sint, express as a function of t, both by using…

A: Given query is to find the Indicated derivative.

Q: f) Use L'Hopital's rule to evaluate: sin x lim X-0 X

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Q: 6) A force, F, of 52 N is acting in the direction of a = [2,5] a) Find a unit vector in the…

A: We need to find unit vector and force.

Q: Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: Water is flowing in a conical reservoir 40 ft deep and 16 feet across the top at the rate of 2…

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Q: etermine the derivative of f(x) = a. f'(x) = -x_ 7 cos x − tan² x− 1 (secx+7)² b. ƒ'(x) = − µ* _ 7…

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Q: c) 1/2 1 1-x² dx

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Q: 2. a) Write sin(3-1) in the form of a + bi. b) Find all the values of (3)-in

A: Concept: Simplifying expressions: Expressions are mathematical statements with at least two terms…

Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 1. TⓇ S (a) Find the general indefinite integral. 2t² + t²√t-1 t² dt

A: topic- definite integral

Q: uate (f¹) '(2) for the function f (x) = √x³ + x² + x + 1. lain your reasoning and write the solution…

A: Topic:- function and its derivatives

Q: 1. IF PLx) =5х4 Sox2+9х2 Find F'(x) and F'(2)

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Q: Q/Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 17 22 f(x) 10

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Q: 14. A small, closed water tank is in the shape of a cuboid with a square base. The total surface…

A: Given :Total surface area of cuboid = 1500

Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: This question is designed to be answered without a calculator. A farm has a rectangular pigpen that…

A: Let's find total numbers of pigs in the piggen.

Q: Evaluate the following integrals: 0 (Cartesian to Polar) Given the cartesian coordinate, find FOUR…

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Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: solution:-♣, ♠, ♦, and ♥  are four different itemswe know that  combination is the selection of…

Q: Given R(t) = 4 cos ti + (1+ 3cost)j +5sintk. Find the arc length of the portion of R(T) from t=0 to…

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Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: solution:-y=x2-2y=-x2+2let two value of x is -t & t , because the graph is symmetrical about…

Q: Find the gradient of the function f(x,y)=5y-x at the point (8,9). Then sketch the gradient and the…

A: See this solution in below

Q: 16+29

A: Given :16+29

Q: 1. Consider the differential equation y" - ry - y = 0 a) Determine two linearly independent power…

A: answer is in next step

Q: 7π| A d) S_T/A (sin x + cos x) dx

A: We will evaluate the given integral in the following step.

Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

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Q: b) f(x) = хе-пх

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Q: Jack has 13 cards printed with the letters from the word “UNDERSTANDING,” so that “U” is in one…

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Q: Compute the center of mass/ centroid of the region R = {(x, y): 1≤x≤3, 0≤ y ≤ x²

A: Here we have to find the centre of mass of a region.

Q: Evaluate the following integrals: 0 • (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: What is the period of the graph below? sto 8+ 7+ 6+ him

A: As we can see graph  Function repeat his value after every 4 point .

Q: Find the equation of the tangent line to the function f(x) = 5* at x = 4. (Use symbolic notation and…

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Q: Consider the series. 2 3 4 10 (¹) + ( )² + ( )² + ( )* +-- ∞ This series can be written as a…

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Q: 2. Given the function: f(x) 3 x -3 x≤2 2 x² + 1 x > 2 Is f(x) continuous and differentiable at x=2?

A: Here is the solution:

Q: Find the area under a curve whose equation is y = x³-3x²-x+3 From x = 0 to x = 2

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Q: Tutorial Exercise Find the Taylor series for f(x) centered at the given value of a. [Assume that f…

A: The given function is f(x)=9/x and a=-3.

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Let P be the population after t years

Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.

Q: Suppose you place a $35 bet on a horse with a odds against winnning. Determine the winning payout…

A: Topic:- algebra

Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

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Q: √x-3 x-3+√√√x²-9 Evaluate lim

A: Given query is to find indicated limit.

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: 9 Use the shell method to find the volumes of the solids generated by revolving the shaded region…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: This question is designed to be answered without a calculator. If g(x) = si sint dt, then g'(x) = 0…

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Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: polar integral to find the area rusk 2) Use a enclosed by the three - petaled T = Singe

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Q: 4. According to the following table, what is the limit of this function as x approaches 0? X -.01…

A: From the table, it is clear that: limx→0-f(x)=2&limx→0+f(x)=2

Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives