The limit given below represents the derivative of some function f at some number a. What is the function f(x) and the number a? lim h→0 Provide your answer below: f(x) = a = 9 -10+h 9 +100 CUIDAIT

Q: Consider the following. y ₁+1 A, D = {(x, y) 10 ≤ x ≤ 2,0 sys √x} x² Rewrite the above as an…

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Q: Find and evaluate the arc length of the curve [x(t) = 1² y(t) = t3 = t for t = [0,3].

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Q: 1. Calculate [2ydx-3dy, where C is the ellipse parametrized counterclockwise by r(0) = (4+3 cos )i +…

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Q: x² -0.08x + 2.8 where x is the number of years since 1956. What was the rate of change in the…

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Q: 4) Find the absolute maximum and minimum values of the f(x, y) = 3 xy-6x -3x+7 function defined on…

A: Writing error in question (considering -3x is -3y)

Q: Consider the following indefinite integral. Find the full I(x) = = C + Σ n=1 = C + power series of…

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Q: Find the volume of the given solid. the tetrahedron enclosed by the coordinate planes and the plane…

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Q: Find the area of a parallelogram PQRS, where P = (0, 0, 3), Q = (4,6,-4), R = (1, –4, −5) and S…

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Q: Differentiate y = Σ (k + 4)ak+8. k=0 y=Σ k=0

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Q: What is the marginal change in production if the number of Manufacturing Specialists increases from…

A: We will use values of x and y to find z.

Q: 4. Use Green's Theorem to evaluate the line integral [2xydx + (x+y)dy C C: boundary of the region…

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Q: On a high school campus of 1,500 students, one student spreads a rumor about a high school prank.…

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Q: S

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Q: Let R be a region bounded by the four planes x = 0, y = 0, z = 0 and x+y+z=4. Evaluate 24r dV over…

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Q: Find the mass of a ball of radius 6 if the mass density of the sphere is proportional to the square…

A: the radius of the ball is given as 6 units

Q: Find the volume of the solid that is obtained by revolving the region about the x-axis. 20 18- 16+…

A: y= (x-2)2+3We have to find volume of the solid that is obtained by revolving the region bounded by y…

Q: Let f(x) = = (i) lim f(x) = x→3- (ii) lim f(x) = = x→3+ (iii) f(3) = = 1 + x, (a) Evaluate each of…

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Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: Find the average rate of change of the function f(x) = -3x² - 4x + 2 between x = -1 and x = 1

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Q: Find the speed over the path r(t) = (2t + 4, 8t + 2, 3t-7) at t = 8. (Use symbolic notation and…

A: r(t)=<2t+4, 8t+2,3t-7>We have to find speed,v(8)

Q: Find other polar coordinates (r, 0) of the point (-6, 267) satisfying the given conditions. (Express…

A: NOTE: Refresh your page if you can't see any equations..The given coordinate isFor the first part,…

Q: Directions: Provide 1 question and answer it (with solution) on the topic below. 1. Compute the…

A: Here we have to Compute the area of a plane region between a curve and the x-axis

Q: F=(y-2)i+(x+y)+z²k ral [Fdr, where C is the curve given by the following i+t²j+r²¹k, Ost≤1.

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Q: Suppose f(x) = 3x² + C, where C is any real number. Then the expression can be written in the form…

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Q: Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. arcsin…

A: arcsin(0.23)

Q: Find the equation of the graphs.

A: Find the equation of the graphs.

Q: For the position function s(t)= - 16t² + 114t, complete the table shown below with the appropriate…

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Q: Find an equivalent double integral with the order of integration reversed. (6-3) 2 S. S dyda So y =…

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Q: Treath as a constant. For what values of h (if any) does the following equation have equilibria? Use…

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Q: Calculate the following mentally (and show how you did it!)   13 x 15 2^8 x 2^3 48 x 25 34200 /…

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Q: Find the local minimum value of f(x, y) = 4+25+y5-5xy.

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 5 for f(x) = ln(x + 1). T₂(x) T3(x)…

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Q: The cost of producing x units of a commodity is given by C(x) = 100+ 19x -0.5x2. Find the marginal…

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Q: the area of the windscreen of a bus is 1.21m^2. In a photograph of the graph, the windscreen appears…

A: Given: The area of the windscreen of a bus is 1.21 m^2. In a photograph of the bus, the windscreen…

Q: Directions: Provide 1 question and answer it (with solution) on the topic below. 1. Compute the…

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Q: Find equations for the tangent plane and normal line at the point P on the given surface. x² + y² -…

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Q: What is F(x)=dx? O F(x) = 4√x+4 O F(x) = 4√x+4+C ○ F(x)=√4+C O F(x) = 2√√x+4+C

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Q: Find the absolute maximum and absolute minimum of the function z = f(x, y) = xy + 4x - 2y +4 on the…

A: for function of two variable maxima and minima can be obtained by double derivative test.

Q: The following set of equations has how many solutions? y+ x² = 4 y-x=4 01 O 2 O 0 FL-845 SB Closed…

A: Two curves has n numbers of solution if they intersect at n points.

Q: 6. Find the absolute maximum and minimum values of f(x, y) = e¯ region D= {(x, y) : x² + 4y² ≤ 1}.…

A: We have to find the absolute maximum and minimum values of the given function.We will use Lagrange's…

Q: Find the area of the surface. the part of the cylinder x2 + z2 = 16 that lies above the square with…

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Q: Determine the degree 4 Taylor polynomial for ln(x) centered at c = 1.

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Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 2x³ - 18xy -…

A: We have to find the local minima, local maxima and saddle points of the given function.For this…

Q: Find the volume of the given solid. under the surface z = 3xy and above the triangle with vertices…

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Q: Find a plane containing the point (2,5,3) and the line (t) = +t

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Q: Find the distance from the point (-5,-3,-6) to the plane 4x + 2y + 3x = -5.

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Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = 2x² — 8xy +…

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Q: Find the volume of the solid cut from the cylinder x² + y² = 1 by the planes z = 0 and x+z = 7.…

A: Using Polar coordinates: given    r^2=1" data-mce-style="box-sizing: inherit; user-select: all;…

Q: i need worked out solution

A: Given integral,Formula used,The given integrand is not defined at . So, break the limits using the…

Q: lim (x,y)-(1,1) A) 1 x-√√xy 2x²-xy-y² B) 0 C) DE E) N

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