Let g(x, y) = 3.2³-6-2²-5.y2 +1. a. ag Show/hide

Q: Let f(x,y)=3x³y-2y²-3x²-8y+2 i. Find the stationary points of f ii. For each stationary point P…

A: As per guidelines,  I can answer maximum one question.  Since you have asked for two questions, so I…

Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: A certain bacteria culture is observed that the rate of growth of the population P at any time t is…

A: Given that rate growth of the population P at any time t is inversely proportional to square of the…

Q: Find a unit vector in the same direction as v = Provide your answer below: (7,24).

A: Given vector v = { 7 , 24 } let u = unit vector

Q: глада- лед 6 [x3- for Draw the function

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Q: Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

A: To find:- ∮cxy5dx+x3dy Where C is the rectangle with vertices 0,0,6,0,6,2,0,2

Q: For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select…

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Q: Which of the following statements is. CORRECT? There is not enough information to determine how many…

A: Suppose , fx=x3+x-1 Determine the solutions in 0,2.

Q: 12. In(x + In(x + 4) dx

A: We are required to find the value of ∫ln(x+4)dx   We are also required to check by differentiation…

Q: Giving that f(x) = 4x + 4 3 Find: a) F(3) b) f(-5) c) F (-2) J) F (1) e) f (0) 2 X 3 -3≤x≤0 X>0

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must…

A: Please see the below picture for detailed solution.

Q: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: Given red cars - 6 silver cars - 11 black cars - 5 total cars - 22

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

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Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

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Q: Convert the point (r, 0, 2) = (1, 3, 5) to Cartesian coordinates. Give answers either as…

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Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: Use the basic integration rules to find or evaluate the integral. (Use C as the constant of…

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Q: Fundamental Theorem of Calculus to find the "area under curve" of y=−x2+9x betweenx=3 and x=7. In…

A: Given query is to find the area under the curve.

Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

A: Given query is to find the value of the expression.

Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: Find the volume of a solid obtained by revolving the region between the graph of f(x) = x(1 − x) and…

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Q: 8 3 3.s²+12 $²+49 +

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Q: Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which…

A: We need to choose correct option.

Q: 12. Using the substitution u = = √x. S₁. (A) 25e" du (B) 25e" √x e" du dx is equal to which of the…

A: The given integral: ∫14exxdx

Q: 10. What is the area of the region in the first quadrant bounded by the graph of y = ex/2 and the…

A: Find the area

Q: = Find the area of the region enclosed by y x = 3.5 - y². 1 1 2 3 and 3.5x and Use horizontal strips…

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Q: Find the center, foci, vertices and asymptotes of the hyperbola. (y-3)^2/ 25 - (x+1)^2 =1

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Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

A: Given that volume of teh right circular cylinder is 1152cm3.And the total alumonium used up by the…

Q: The demand curve for a certain product is given by p(a) = 535-q^2. The supply curve is given by P(q)…

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Q: R is the region bounded by the functions f(x) = x² + 1 and the x-axis and the lines x=0 and x=3.…

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Q: Find the area between f(x) = x^2-13 and the x-axis from x = 0 and x= 3. The area is blank square…

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Q: Find the particular solution of the equation satisfying the given condit 3 TT sin(x) dx + sec(x) dy…

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Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

A: To find the value of the angle θ

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: Determine which of the following is the particular solution for the differential equation…

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Q: he shape of an ellips following equation:

A: The equation of ellipse is given as   x2a2+y2b2=1where,a = 12*(lenght of major axis)b = 12*(lenght…

Q: Evaluate: Sin (sin ²¹ (2) + tan ¹ (-3)

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Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: A covered box is to be made from a rectangular sheet of cardboard measuring 45 inches by 72 inches.…

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Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

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Q: artha invests $7600in a new savings account which earns 5.5% annual interest, compounded…

A: Formula for compounded continously A = Pertwhere A = amount after t P = principal amount r = rate of…

Q: Given r= 1 and r = √2 cos 0 Find all the intersection points of the following curves.

A: Given           r=1    ..........(1)           r=2 cos θ  ..........(2)   Equating equations (1) and…

Q: Calculate the work W against gravity required to build a right circular cone of height 2 m and base…

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Q: Complete parts (a) through (c) for the following function. 1 x² +10x+21 f(x)= (a) Find intervals…

A: Given: fx=1x2+10x+21=1x2+7x+3x+21=1x+7x+3 Function is not defined at x=-7, -3. So, the domain is…

Q: A curve with polar equation r represents a line. This line has a Cartesian equation of the form y =…

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Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: 10. Change the order of integration: a. 2 lay [re [ f(x, y)dxdy 10 In 44 b. f(x,y)dydx

A: Given integrals:- ∫12∫0lnyfx,ydxdy ∫0ln4∫ex4fx,ydydx

Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: Inverse laplace 8/(3s^2+12)+3/(s^2+49)

A: The given Laplace transform is Fs=83s2+12+3s2+49. We have to find the inverse Laplace transform.

Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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