2- -2 d)

Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given

Q: 10 *- 10-x (7) Solve for x. y =

A: Topic:- algebra

Q: (5x2 – y²) dx + 2ydy = 0

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Q: Use the limit definition to find the derivative of f (x), this means no short cut rules, f(x) = x? –…

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Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

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Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

A: Here, the amount of the clay is fixed. dVdt=0...(1) Now, the volume of the cylinder is given by:…

Q: Suppose the function f(x) is an odd function and lim, f(r) = 27. Use this information to evaluate…

A: For an odd function f(-x) = -f(x)

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4, 2)…

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Q: 1 On which of the following interval is f(x) = continuous? - O [2, +0) O (2, +) O (-00, +0) O (0,…

A: Given,  f(x)= 1/sqrt(x-2)

Q: (6) (a) For each of the following differential equatons: • Determine the order of the differential…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

A: Given: x=2u4-u3+u-11, y=5u3-4u2-7u+2     As we know that; The Power rule; ddxxn=nxn-1 The Quotient…

Q: V 3 (d) r(1/6 + At) - r(n/6) = 3 COS At sin At cos At + SV3 sin At it

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Solve the initial value problem y′′−6y′+9y=0 for y(0)=1 and y′(0)=3. After getting the particular…

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Q: Find the area of the following region bounded by the graph of f(x) = (x - 5) and the x-axis between…

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Q: Let i 1 and i and let w = ü x v. Answer the following: 5 Find w. Give your answer as a vector in the…

A: Givenu=0i+j+5kv=-2i+4j-5ka)Givenw=u×vw=ijk015-24-5w=i(-5-20)-j(0+10)+k(0+2)w=i(-25)-j(10)+2kw=-25i-1…

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x?2 - х) dx x2 + x +1

A: ∫01x2-xx2+x+1dxit is a improper fraction ( degree of Numerator= Degree of denominator)Using long…

Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 7 lim t 612 + 7't 1° = (?, ?)

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Q: y2- 4y + 2x = 0, x = 2 and x-axis

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Q: Suppose on Jan 1, 1997 Dave invested $2,000 into a bank account at 5% interest compounded…

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Q: x(4+ x²)!/3 dx

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Q: Find div F and curl F if F(x, y, z) = 3y°z©i – 3x*z°j – 3xy*k. div F= curl F=

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Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: A tank is being filled with a liquid. Z (1), given below, is the amount of liquid in liters in the…

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Q: 5: A party planner is trying to hang a sign between a house and a palm tree for someone's birthday…

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Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: 2 ConseaRa THe REGION BeUND RO BY Y= VX SET SET UP (BUT DU NUT EVALUATE) AN INTEGLAL FormuLA fOR: A…

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Exercises: Find the derivatives of: 1. 1-y = (secx + tanx)(secx- tanx) 2- y = x2.cotx- x2 4. 1+cscx…

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Q: Evaluate x2 lim За - 10 - x→-2 x + 2

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Q: Solve the Laplace Transform of the equation f(t)= te⁻³ᵗcos²2t

A: We have to find the laplace transform of the given function.   f(t)= te⁻³ᵗcos²2t

Q: Find the first partial derivatives with respect to x,y and z. f(x. y.z) - 3x°y - 9 xyz + 10 yz %3D

A: Find first partial derivative

Q: A 25-year old woman burns 350 Gatorade is 55t calories during the tth hour. What is her net decrease…

A: A 25‐year old woman burns 350-60t cal/hr while walking on her treadmill. Her caloric intake from…

Q: The surface area of a spherical snowball is increasing at a rate of 9 mm²/min. Find how fast the…

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Q: Use Hooke's Law to determine the work done by the vaniable force in the spring problem. A force of 7…

A: The answer is 5.6 pounds

Q: Consider the following functions. f(x) 3 Vx - 3 g(x) = x – 3 %3D Sketch the region bounded by the…

A: Let us first find the intersecting point. So,               x-33=x-3⇒x-3=x3-9x2+27x-27⇒x=2, x=3, x=4…

Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain.

Q: Suppose fis a function of x and that you know that f'(x) = 2x² – 15. Is f increasing, decreasing or…

A: Given problem:- Suppose f is a function of x and that you know that f'(x) = 2x2 - 15. Is f…

Q: 3 da Evaluate a+2 A. 3 B. 2 С. 1 D. 0

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Q: Evaluate sin 5x) lim, 0 (sin 5z ) 3x O 1 O 3/5 O 5/3

A: Topic:- limit calculus

Q: (3x-3) dx (x²-2x+1)(x²+2x+8)

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: Find the four second partial derivatives, Observe that the second mixed partials a z = 19xeY-10ye

A: We will differentiate partially with respect to x and y.

Q: et +e-* find the length of the curve h(x) = from x = 0 to x = In 2. 2

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Зх+1 a) y =- 1 b) g(x)= Vx -

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Q: Let F(t) = * F(e)dt (dont include the «C) Fine Question Help: D Video Add Work

A: We know, ∫tndt=tn+1n+1 ∫-sin-tdt=∫ddt-cos-t=-cos(-t)

Q: Зх +1 a) y =- 1 b) g(x)= Jx -

A: