Əf Əf Find and əx dy 2 f(x,y)=√√5x² + 3y²

Q: (x³ - 10x ² +31X -31) / (x-4) write Gorm your answer in remainder theorem

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Q: 8) 2sin²x = sin x

A: 2sin2x=sinx2sin2x-sinx=0

Q: Convert the polar point (-3,3π/2) to rectangular coordinates.

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Q: Problem 2. True or False. Justify your answer. ∞ The power series Cnx" always converges for x = 0.…

A: Please see the below picture for detailed solution.

Q: Calculate the indefinite integral Ivio + C 3dt 16- 36t²

A: Answer is in step 2.

Q: Evaluate. (Be sure to check by differentiating!) S(2+x²) ³x² dx √(2+x²) ³x² dx = 5x7 (Type an exact…

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Q: Integrate: 17²²2 242 dat dx x² + C

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Q: 6. If x < 0 find Vx¹2. Check your answer by plugging x = -1.

A: given   x&lt;0let A=x124for x=-1

Q: Find the area between the curves. π x=0, x=, y = 15 cos x, y = 15 sin x 4' The area between the…

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Q: 3. Which of the following graphs could be the graph of y=-4x-57 Circle the letter of your answer(s)…

A: NOTE: Refresh your page if you can't see any equations. . the given equation of the line is

Q: 5 Given sine = and cose: 13 1+ 5 13 5 13 5 13 12 5 0₁4 (3) (4) 1+ 13 13 12 13 12 12 13 13 = 1 =1 12…

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Q: 4. Write the equation of the line that passes through the points (3, 7) and (-1,2) in: a.…

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

Q: 17. Given a velocity function v(t)=3t-5 (in meters per second) for a particle in motion from time…

A: We need to find out the net displacement of the particle.

Q: Find the gradient of f(x,y,z) = (x² + y² +2²) - 1¹/² + In (xyz) at the point (2,1,2).

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 3 3 f³s(…

A: A detailed solution is given below.

Q: Finding Limits of Integration In Exercises 9-18, write an iterated integral for dA over the…

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Q: (−3, −3, −4) = 6 5 2 √3' √√3 √3 --- . . .

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Q: In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t…

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Q: Write the first four terms of the sequence whose general term is given below. an = n (n-1)! a₁ =…

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Q: Find • JJS ₁² z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), and…

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Q: Rewrite the expression without using the absolute value symbol, and simplify the result. |12 + x| if…

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Q: Solve for the Wronskian of the given functions: f₁(x) = x^2, f2(x) = 3x, f3(x) = 2x+1. 3 O x^2 6 -X

A: Given f1( x ) = x2f2( x ) =3xf3( x ) =2x + 1

Q: Find the sum. k 1 Σ4(3) - 1 k = 1

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Q: ". Is (sin x+cos x)² = sin² x + cos²x an identity? (a) True (b) False

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Q: I Which of the following shows the simplified function of csc x sin 2 01 O-1 O tan x O cot x

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

Q: If the function f(x) = ? (3ax² +2bx+1 if x ≤1 is differentiable for all real values of x, then b =…

A: To find the value of b

Q: 39 Find the value of c that satisfies Rolle's theorem for f(x) = 2x^4 -16x I 5. You are a…

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

Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)= x + 9 and 32 units cost…

A: To determine the cost function

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

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Q: Evaluate fa² tan³ (2³) da + C

A: To integrate the given  function.

Q: If the length L of a fishing rod is shrinking by 1 foot per minute at the moment the rod is 30 feet…

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Q: dy dx poileupe sijusionit = xey+x² y(0) = 0 2

A: To solve the following initial value problem IVP.dydx=xey+x2 , y0=0

Q: 14px 1.5pt : B US A A Dº X₂ 9. The cost of hosting a dinner in a particular restaurant is given by y…

A: Given query is to find the slope of the line and it's meaning.

Q: Use u-substitution to find the integral of (2x+5) (x3+5x+3)4

A: ∫2x+5x3+5x+34dx=∫…

Q: 3 Given [ (x³ - 3x²¹ + (x5 - 3x4 + 6x³ + 3)dx, evaluate the indefinite integral.

A: We have to solve given Questions.

Q: Find the indicated value of the function f(x,y) = 2x+8y-4. f(4, -3) *** Select the correct choice…

A: f(x,y)=2x+8y-4 at (4,-3)

Q: Given y = √x. Find dx dt 11 dx - dt when y = 3 and (Simplify your answer.) dy dt 1.95.

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Q: Which of the following is the simplified expression of 1- 1 sec O sin²0 O cos²e O tan²0 O sec²0 -…

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Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of…

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Q: Find the equation for the parabola that has its focus at the (-5/4,6) and has directrix at x=29/4

A: We have to find equation of parabola that has 1.focus at (-5/4,6) 2.directrix at x=29/4   Let's find…

Q: For y = a) Ay for the given x and Ax values, b) dy = f'(x)dx, c) dy for the given x and Ax values.…

A: The given function is  f(x)=2x-3,x=2  and  ∆x=2

Q: Determine the following. f4e-0.5 -0.5x dx

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Q: Find and simplify each of the following for f(x) = 4x² - 7x+6. (A) f(x + h) (B) f(x+h)-f(x)…

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Q: (a) Find lim f(z), if it exists. -2², f(x) = cos(x), (2-1/2, if # <0 if 0<x<*/2 if x ≥ π/2

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Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y)=2x²+ + 3xy…

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Q: Which of the following is the simplified expression of 1+ -tane? cote O sin²0 O cos²e O tan²e O…

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Q: An investment of $80,000 was made by a business club. The investment was split into three parts and…

A: Given. Total amount =$80000 Interest for 1st,2nd,3rd part is respectively 8%, 6%, 9% We have to find…

Q: a) Asymptotes b) Special points c) Graph R(x) B 2x²-3x-5 x² + 3x-4

A: Given:

Q: a. The points (3,-1,2) and (-1,3,-4) are the endpoints of a diameter of a sphere i. Determine the…

A: Please find the answer

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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