dy 9. Given the curve xy - y³ = 7, find dx y [A] xyz [B] 3y x-y² y [C] -²/3 [D]x-3y [E] y x-3y²

Q: y = sec² x, y = 8 cos x || 5|3 DEIM 17373 ≤ x ≤ 3

A: Graph:-

Q: 4. y" -10y +34y = -cos3x

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Q: True or false: the limit as x approaches infinity of (x^2-x) =0

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given query is to find integral converging or diverging.

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2x2 + 4 and above the…

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Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: Fill in the first 3 levels of Richardson extrapolation to estimate the derivative of sin(x) at x =…

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Q: Find three positive numbers whose product is 86 such that the sum of their squares is as small as…

A: Let the three numbers be x, y and z. x + y + z = 86 -----(1) ⇒ z = 86 - x - y ------(2) Product, P =…

Q: Find the constant of integration for the DE dQ 2 + dr -Q=4; Q(2) = 100. 10+ 2r Select one: O a. 1306…

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Q: The

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: Find the general solution= y sin 2x tan² x y =

A: Given,Differential Equation y'y=sin2x.tan2x…

Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

A: Since, you have posted multiple questions, as per guidelines we"ll solve only first three parts. If…

Q: 1. Evaluate the integral f2162+12+0dx. (Hint. You may need to use partial fractions and trigono-…

A: Here we use the partial fraction to compute the integral . see below the answer and calculation we…

Q: Solve for the particular solution: 4e-3x-2 y' e -6x +3e-3x+2 ; y (0) = 1

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Q: Find the equation of the plane tangent to the surface G(x,y,z)=2x^2+y^2+3z^2=25 at P=(−3,−2,1).

A: Topic = Derivative

Q: what is the derivative of the inner function?

A: We have to tell the derivative of inner function

Q: 0 = XP(^vx-2)^x + ^p (Tvx-tv^) differential equations.

A: A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x, and general solution is…

Q: Find the area of the region bounded by the y-axis, the line x=3, and the functions f(x) = (x² - 3x +…

A: We have to find the area of the region bounded by the y-axis, the line x=3, and the functions…

Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

A:

Q: Find Vectors and Perform Vector Operations in R³ Vector 7=(2, 0, − 1) has initial point (-9, 7, 3).…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: 1 y=x2y = x, y = ४00 8

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Q: ƒ(x) = 5 4x³+4

A: To differentiate the given function using quotient rule.

Q: Consider the parabola given by the equation: f(x) = - 4x² - 6x + 7 Find the following for this…

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Q: eln9

A: Given:- eln9

Q: 100 56. Σ (3k + 4) k=1

A: Note: Since the student has mentioned to solve only question no. 56, so we are solving accordingly…

Q: Differentiate each function with respect to x -- Product Rule. Please express in descending powers…

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Q: (a) Find the dy = differential dy. y = ex/2

A: We will use differentiation to solve this.

Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

A: Sqrt(1+x2)dy -ydx=0

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy2 + 20x² y³-ky)dy = 0 a)…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: solution:-the region bounded by 27y, x=0 and y=3 rotating about y-axisusing cylindrical shell…

Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: Find equations of level curves containing a point Find an equation of the level curve of the…

A: Given fx, y=y2arctanx

Q: Question 23 arctan y + ln(1 + y²) =a²x³: Find y': Gaz (1+²) 1+2y O Jamani No answer text provided. y…

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Q: e think of In(-3x + 7) as In(u), then u is a differentiable function of x and u = tionally, if we…

A: Topic:- application of derivatives

Q: 1. 2. y"" +3y" +4y +12y = 8cos2x - 16sin2x y" - y'= -2(1+x) +4e* -6e-* +96e³x

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Let f be a differentiable function. A line is tangent to both of the curves y= √1+x2 and y = f(x)…

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Q: 4. Find if possible, the absolute max and absolute min. for. on [0₁4 > f(x)= x X-4

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Q: Determine the derivative of the given function: y = e OV=11/1/20 y y = -6xe 7 y' = -2x-¹e-3/ 0 0y=…

A: To find the derivative of given function.

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

A: Given height :- s=96t-16t2

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given vector:- rt=2ti+etj+e-tk

Q: A conical tank (with vertex down) is 14 feet across the top and 20 feet deep. If water is flowing…

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Q: Use the reciprocal identities for the following problem. If tan 0 m, with (m ‡ 0); find cot 0. cot 0…

A: Here we have to find the value of trignometric function.

Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: 66. 1 - 1 2 + 2 4 68. + 5 25 1 4 + T 8 125 +

A: Question no. 66 & 68 solved

Q: Find the distance from the point (-2, 8, 9) to the line ā(t) = ( − 1, 3, 2)t + (− 2, 3, 9).

A: To find the distance from the point -2, -8, 9 to the line a→t=-1, 3, 2t+-2, 3, 9.