Find the critical point of the function f(x, y) = − 6-4r - 2x² + 3y - 5y²

Q: Let y = sin(4x). If Az = 0.1 at z = 0, use linear approximation to estimate Ay Ay = = Find the…

A: Given that , y=sin4x Estimate ∆y using linear approximation and find the percentage error.

Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters. 1/3…

A: Since multiple questions are asked,I am answering first question.

Q: II. Find the determinant of B = 3 0 1 2 5 2 1 -1 0 -2 -3 0 ܒ THOT 1 1

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Q: Determine whether a linear function is increasing, decreasing, orconstant

A: We need to determine increase decrease or constant of a liner function.

Q: 1. (cos 2y-3x²y² )dx +(cos 2y-2x sin 2y - 2x³y)dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Then the solution of the…

Q: did u get C1 , C2 and C3 for the intgrating constant

A: Given:- How did u get C1 , C2 and C3 for the intgrating constant.

Q: Find the sum of the series. 8 n = 0 (-1)^²n 62n (2n)!

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Q: Fiven the equation t = 2, 2 x² + y wy " solve for x.

A: Given query is to solve the equation for x.

Q: 1.) f(x)= Relative Find all critical numbers and use the First Derivative Test to classify each as…

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Q: Question Consider the differential system for r > 0. The general solution of such a system is Select…

A: Consider the differential equation systemdydx=-ryfor r>0. The general solution of such a system…

Q: Which are the Six Basic Trigonometric Functions?

A: We need to show trigonometric function.

Q: A radioactive material decays continuously with a relative growth rate of -0.01 per year. If there…

A: let initial amount = x0amount after time t = x growth rate = -0.01 time = t

Q: axis Find the area in the 2nd quadrant bounded by the curve y = e²x-1 and the x-

A: Find the area in the 2nd quadrant bounded by the curve y=e2x-1 and the x-axis.

Q: Do not use a calculator for this problem. Find the x-value where the maximum value of y = sinz - 2z²…

A: We have to find the x-value of maximum of given function.

Q: For the equation given below, evaluate y at the point (2, −1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. fote-t² dt

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Q: ii. 1. A diver jumps off a springboard 10 m above water with an initial upward velocity of 12 m/sec.…

A: Let's find maximum height, velocity when she hits water.

Q: 21

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Q: total of $26,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The…

A: Given query is to find the amount invested in 3.5% interest rate bond.

Q: 2. A poster is to have an area of 180 in² with 1-inch margins at the bottom and sides and a 2-inch…

A: Given,            A poster is to have an area of 180 in2 margins at the bottom and sides and a…

Q: Determine a suitable form of a particular solution if the method of undetermined coefficients is to…

A: The given equation is; y''+y=6cos(x)-3sin(x).

Q: valuate the following limit im →0 1-cos 3x 16 lim z+0 1 - cos 3x 16

A: Given query is to find indicated limit.

Q: i. Evaluate the following integrals 2. S (²/²² - 12/17 - 1²/1) dx a. 3 √x x3

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Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A: concept →if a function is continuous at x = a then limx→a- f( x) = limx→a f( x ) = limx→a+ f( x )

Q: 8. Find the point of the graph of f(x) = xe-2x where the tangent line is horizontal. A(²22) C.…

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Q: a) Identify and sketch the surface with the given vector equation: r(u,v)=, u between 0 and 2pi, v…

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Q: 4. Label the vertices and foci on the graphs given for the ellipses: 1 2 + 2 = 1 4² 52 x2 a. + 4²…

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Q: Expand: log √a²b³ O loga + log b 3 ○ log a + ²log b O logo a -log, b ○ 2log a + 2log b

A: Expand

Q: The marginal cost for printing a paperback book at a small publishing company is $0.019 per page…

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Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. Determine each. Z A X…

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Q: Integrate by substitution  }x4ex^5dx

A: Given query is to find the integral.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: 6. Evaluate the following integrals using the Fundamental Theorem of Calculus 112 16 10x+x² ४ 334…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2) Solve the following LP: Minimize C= 2x+5y Subject to: x + 2y 24 3x+2y 26 x20, y 20

A: The answer is in step 2.

Q: The sequence is defined recursively. Compute the first five terms a₁ = 0; an = 2an-1, n ≥ 2 a₁ = a2…

A: Given: So,              a2=2a1=20=1a3=2a2=21=2a4=2a3=22=4a5=2a4=24=16a6=2a5=216=65536

Q: Compute the volume of the region bounded by z=8−y^2, z=y, x=0, y=0 and x+y=1

A: We have given that a region R is bounded by the curve:   z=8−y2 , z=y , x=0 , y=0 and x+y=1     Here…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: Given query is to find the year when export will be 9.7 billion.

Q: Use cylindrical coordinates. Evaluate JJJ √x² + y² dv, where E is the region that lies inside the…

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

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Q: Question +00 Evaluate ez da. State the value to which the improper integral either converges or…

A: To evaluate ∫-3+∞e-x dx. To state the value to which the improper integral converges  or diverges.

Q: (1) =( 9-1², 7²²_,,sin (√1² −9)) Find the domain of the vector function, r(t) = {

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Q: log sin x 10 lim → log tan x -0

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

Q: 27 ft sik sia² x dx

A:

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) =…

A: Topic - increasing and decreasing intervals of a function we are given,f(x) =-3+x2function is…

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

A: we know that absolute maximum and minimum occur either at end point or at critical point so first…

Q: Find the radius of convergence, R, of the series. R = 8 I = n = 2 (x + 6)" 6n In(n) Find the…

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Q: valuate the line integral Sc F • dr, where C is given by the vector function r(t). F(x, y) = xyi +…

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Q: heated object is placed in a room and the temperature of the object (in degrees Celsius) after x…

A: Given query is to find the initial temprature.

Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: 17 d aſ" dx I t³ dt =

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Q: Use Newton's method to approximate a root of the equation 3x7 + 6x² + 4 = 0 Let x₁ = 3 be the…

A: As we know the iteration formula for Newton's method: xn+1=xn-fxnf'xn Given: 3x7+6x4+4=0 and x1=3…