H.W: find the local maxima, local minima, and saddle point of the functions: 2. f(x, y) = x² + xy+3x +2y+5 bas.

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Q: Your bank offers you a personal loan of $24,000.00 at an interest rate of 5.02% compounded…

A: Given query is to find the time duration of the loan.

Q: 2+ y =x+ - 2x3 1 y = 0 2 -1

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Q: Consider the following function. H(x, y) = 10 ln(x2 + 3y3) a) Find fxx(2, 3). b) Find fyy(2, 3).…

A: H(x,y) = 10 ln (x2+3y3)a)fx (x,y)=10x2+3y32x+0 =20xx2+3y3differentiate partially w.r.t x…

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Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx

Q: 14. Which of the following integrals is equivalent to cosxdx if u = V1- sin'x sinxV1- sin'x du c) ;…

A: We are asked to find equivalent integral to the given integral

Q: The marginal cost for a company to produce g items is given by MC(g) = 0.004g? - 0.7g + 650, The…

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Q: y" - 4y 8xe2x %3D %3D

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: f(x) = 2x² – 4x + 2 on [–2,3).

A: answer is in next step

Q: 73/2 + 2x/2 – 4x¬1/2 dx

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Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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Q: (approximations:Numbers of significant digits in).Suppose approximations a≈a*, b≈b*,....,z≈z* are…

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Q: Find the volume of the solid generated byrevolving the specified region about the given line. R…

A: Let's find.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: q=D(x)=1080-18x

A: answer is in step 2

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x - 13x + 12;…

A: The given polynomial function is: fx=x3-13x+12 To find the rational zeroes and then other zeroes of…

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Find your answer below

Q: In the year 2000, the population of a small city was 48,000. The population grows at a rate of r(t)…

A: Follow the procedure given below.

Q: Prove by Mathematical Induction. n(n + 1)(2n + 1) k² 6 k=1

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Q: Find a particular solution y, of the following equation. Primes denote the derivatives with respect…

A: Here we have to find the particular solution of the given differential equation.  y5+2y3+2y''=9x2-6…

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

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Q: A car rental agency rents 190 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

A: Here we have to plot the graph

Q: Calculate the definite integral. 1 | 3 Vx dx

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Q: 9. Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vx²+x a) lim X--00 -3x

A: topic- limits

Q: The area of the surface generated by rotating the curve y = 2 + e*, where 1 < x < 2, about the…

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Q: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

A: Given query is to find indicated function.

Q: 1 tegral 2-2 dx eq" others

A: We have to choose the correct option according to the given information

Q: (1) This question is about the extension of the differentiation rules from 1-dimensional space to…

A: We are given  f(x, y) =(yex , ex+y)  and g(x, y) =(xey , ln(xy) )  We have to verify (i) (f+g)'(x,…

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Q: Consider the integral | (3x? + 3x + 4) dæ (a) Find the Riemann sum for this integral using right…

A: h=b-anSubstitute a=4 , b=7 , n=3h=7-43=33=1Consider f(x)= 3x2+3x+4a) By Right endpoints Riemann Sum…

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Given problem:- You are driving a car away from home. Your velocity (miles per hour) t hours after…

Q: A particle moves along the x-axis with velocity given by v(t) = 3T sin (t) for time 10 at time t =…

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Q: 3- 2- 6 -5 -3 /-2 -2- 1.

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Q: 2. Let f(x) = V4 – x for x < 4 and g(x) = x² for all x E R. (a) Give the domain of f g, ƒ + g, ƒ o…

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Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: We need to complete the description of the graph.

Q: 11. Find the second partial derivatives of the following function and show that the mixed…

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Q: dxdy y Vy2-x2

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Q: 3. Solve r"(t) = subject to the initial conditions: r(0) = and r'(0) =

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Q: x+3 3. Consider the following function. f(x) = x2 a) Find the critical numbers of f, if any. b) Find…

A: The given question has been solved in detail

Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

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Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: Use double integrals to find the mass of the lamina ( thin Plate) which occupies the planar region…

A: To find:  The mass of the lamina which occupies the planar region bounded by the straight line…

Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x - 40y – 200 = 0

A: answer is in step 2

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q -0.9q + 600. The…

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Q: find the range 1) y = /1 – 2) y = /3– x V1-x

A: Given: 1.y=1-x22.y=3-x

Q: The cost of producing q units of a good is C(q) = 50q + 500, and the firm sells q units at p(q) =…

A: C(q)=50q+500 and p(q)=500-2qTo Find:a. Determine the approximate change in profit when quantity sold…