dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: dw given w = ² – 2y + z² and a = cos (st), Use Chain Rule to find ds -2s Int and z = 8 - - Vi.

A: Given,             w=x2-2y+z2 , x=cosst , y=-2slnt , z=s-tTo find : Use chain rule to find ∂w∂s.

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: What is the derivative of 3x+5?

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Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: 2 Evaluate the foltawing cartesian integrats by changing them inte equivalent Pelarintegrals: 2. 4-…

A: in polar coordinate x=r cosθy=r sinθ

Q: Question : Given the following transformations, write the resulting transformed equation for the…

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Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

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Q: Work Problem 2( Question 1 ( Use the First Derivative Test to find the local maximum and minimum…

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

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Q: Find the volume of a cone with a base radius of 3 in and height of 10 in. Do not round. Be sure to…

A: Find your answer below

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

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Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: Find the limit. lim (t i – 3 j + r² k)

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Q: Find the volume of the pyramid with base in the plane z = and sides formed by the three planes y -9…

A: To solve the following problem

Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

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Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation in…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: if it was 2K+Y た44eV 4メ=24-3VFlay) = 2f ty ア-2X find の2F うu

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

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Q: Evaluate (x – 17)dA where Ris the region in the first quadrant enclosed between y = x and y = x³. R…

A: Given curves y=x, y=x3 Now for point of intersection we put, x=x3 So, x(x2-1)=0 So, x=0,1 as x lies…

Q: Describe the graph of the equation. r = 6 sin 9t i – 6 cos 9t j O Itis a circle of radius 6 in the…

A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va…

A: To find out the derivative of the function.

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

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Q: *xp: Evaluate the integral Jī+x

A: The given integral is: ∫x1+xdx

Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

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Q: Find the extremum of z =x + y' subject to x + 5y = 4. Set up the Bordered Hessian matrix determine…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

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Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

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Q: For Item # 9 - 10: A company manufactures fuel tanks for automobiles. The total weekly cost of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: d d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: We have to find derivative

Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

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Q: p(x) = sin x cOs x Select the correct response. O tan x O cos? r- sin? x ,2 COS" X O sin x - x cos²…

A: p(x) = sinx/cosx here if sinx*cosx then any of the answer is not possible so the question is  p(x) =…

Q: If a > b, it is possible to have log,(a) < log.b). (As usual with logarithms, a and b are positive…

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving