Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy +4y2 +6x-7y

Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x ...

A: We will use limit definition to find derivatives of given function. Since , we know that f'(x)=limh→...

Q: Test the series below for convergence using the ratio test. n + 5 22n+1 n=1 The limit of the ratio t...

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Q: Let f(x, y) = (4x – y)". Then a²f даду dxðydx dx²dy

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Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocityis...

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Q: Consider the following points. (3.5, -4), (2, 0, -5), (0, 6, -2). (-1, 1, -3) Set up and evaluate a ...

A: Given: (3, 5, -4)    ,    (2, 0, -5)  ,   (0, 6, -2)    ,   (-1,1,-3)

Q: What is an antiderivative of **+2, x2+1 .. x + arctan x-5 2x +3 x + arccot x x + 2arctan x +1 A. D.

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Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6    

Q: A population of bacteria has 1175 bacteria in its starting population. The half-ife of this particul...

A: Given:   Bacteria : 1175     Days : 14

Q: The definite integral (-+ dx when evaluated is equal to- 11 Find the value of a." 12 ... -8 1. 3.

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Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in ga...

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(a + h) – f(a) f(x) ...

A: We have to use the given formula to calculate the difference quotient

Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward. Conc...

Q: cosh z 3+ cosh z then f'(x) = %3D Question Help: D Video Message instructor Submit Question Jump to ...

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

Q: Find the centroid of the thin plate bounded by the graphs of g(x) = x2 and f(x) = - x+ 2. Use the eq...

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Q: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)...

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Q: dy find for the following functions: dx (x²+x)(x²-x+1) y = x3

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Q: Given f(x, y) = 9xy® – 6x*y. Compute: a?f ду? ||

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Q: a. lim g(x) = x→3+ Preview b. lim g(x) x→3 Preview c. lim g(x) = Preview

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Q: Solve the differential equation (FODE)

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Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis....

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

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Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: An investment grows by 8% per year for 10 years. By what percent does it increase over the 10-year p...

A: Given that - An investment grows by 8% per year for 10 years. By what percent does it increase over ...

Q: Absolute maximum and minimum values of f(x)= 2cos(x)+ sin(2x) on the interval [0, pi/2]

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Q: Find the exact length of the curve around the area of the region given in the problem Note: show eve...

A: Given:      r = √θ Here θ goes 0 to 2π

Q: For the Ordinary DE y = f (x, y) to be guaranteed to have a unique solution containing the point (xo...

A: We have to choose correct option where differential equation have unique solution

Q: 2xy f (x, y) = if (x, y) + (0,0) and f (0,0) = 0. (x²+y²)

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Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class f...

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Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

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Q: In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point. (...

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Q: Absolute maximum and minimum values of f(x)=2x3-3x2-12x+1 on the interval [-2,3]

A: The given function is: f(x)=2x3-3x2-12x+1 ;            x∈-2, 3

Q: Iu the values of the parameters of f(t) = A+ B sin(C(t – D)). (o. 1) (1-3)

A: We have to find the value of A , B , C and D

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Q: Find a parameterization for each of the following surfaces: (a) æ² + y² + z² – 4x – 6y = 12 (b) 2x² ...

A: We have to find the parametric representation of the following surfaces: x2+y2+z2-4x-6y=12       → ...

Q: Solve the differential equation (D² – 1) y = x – 1

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Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2...

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Q: Linear differential equetion with constand coefficients -メ ダーンツ e

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Q: 1000 A B

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: 8- 6- 4- 2. The graph of f(x) is shown in red. Draw the graph of g(x) = - f(x). -8 -7 -6 -4 -3 -2 Ma...

A: The graph of the equation f(x) is given , find the graph of  1) g(x)= -f(x)  2) g(x)= f(x)-3 .

Q: Suppose that it takes a point 72 seconds to travel around a circle once. How long will it take the p...

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Q: Evaluate the integral fw(2w + 3)² dw A.) w+4w3+w2 + C B.) w+2w3+9w2 + C C.) w2(w2+4w+9/2) + C D.) 2w...

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Q: Write each of the given numbers in the form a + bi : (a) e- i, e(1+i27) (b) el-1+) i, (c) ee i.

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