4. Homogeneous Diffe rential Equation: (x* +2.xy – 4y² kdx– (x² – 8.xy – 4y² kdy = Use the substitution x = y d = wdx+ xdw y = wx;

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: (A) Find the exact cost of producing the 21st machine. Exact cost of 21st machine = (B) Use marginal...

A: Here n= 21 (No. of units) c(n)=c(21)=total cost of producing 21 machines c(n-1)=c(20)=total cost of ...

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A: Equation of family of lines

Q: Given that cot(0) = and 0 is in Quadrant I, what is sin(0)? Write your answer in exact form. Do not ...

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Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: f(x) = (x – 1). sin(x)

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Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

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Q: Which of the following is equivalent to tan 0(sec 0 – 1)(sec 0 + 1) for all values of 0 for which ta...

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

Q: Use the table to the right to find the given derivative. d. [xf(x)] dx x%3D5 d. dx xf(x)] x%35 [xf(x...

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Q: Elimination of Arbitrary Constant: y Ax + Bx+C, A and B are constant, C is a parameter %3D

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Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: The position of a bird flying along a straight line with s in meters and t in seconds is given by s(...

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Q: exV - 1 B Let g(x,y) x +y - 1 (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) • T...

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: To find out the equation d-1(y).

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

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Q: find d^2/dx^2(sinx+cosx)

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Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

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Q: solve for t. SC

A: Follow the procedure given below.

Q: 2 Separation of Variables: x(y+1)dx + dy = 0 %3D

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Q: Homogeneous Differential Equation: (x* +2xy – 4y² Jdx – (x² – 8xy – 4y² kdy = 0 Use the substitution...

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Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ... ....

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Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)...

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Q: equation

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Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t – 21t + 36t ...

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

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Q: Find the average rate of change of the function over the given interval. y=4x+ 1; between x = 2 and ...

A: given :y=4x+1    between x=2 and x=12

Q: y = 7x2, y = x2 + 3 %3D

A: Follow the procedure given below.

Q: 3. y'-5y=x²e* – xe*

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Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: da Evaluate x² V4

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Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown ...

A: Functions

Q: Question 1 Evaluate the value of the function Y + 22 sin(x) f (x, y, z) = at the point (, 3, 2). T O...

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Q: Which of the following integrals will give an area equal to that of a region in first quadrant enclo...

A: We will find the area of the asked region as follows.

Q: The annual world consumption of silver is predicted to be 22.3e0.0ir since 2014. Find a formula for ...

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Q: 12. Let L = lim a>0. If L is finite, the (A) a=1 (B) a=2 (C)L- (D) L-

A: We are asked to find a value and L values.

Q: Given the graph of the function f(x) below, determine where the function is discontinuous. (-2, 2), ...

A: The objective is to determine where the function is discontinuous .

Q: A company that makes thing-a-ma-bobs has a start up cost of $49137. It costs the company $3.02 to ma...

A: the values are:-

Q: If C+ L3 = e9C, compute dC/dL when C = 0. C'(0) =

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Q: a?, x = 4, and y = 0 16 Find the volume of the solid obtained by rotating the region bounded by y = ...

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Q: y = Ce-2 + C2e3*

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Q: (x – a)² + y? = a²

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Q: For the following problem determine a region of the xy-plane for which the differential equation wou...

A: We have to show given differential equation has unique solution

Q: (A) Find the average profit per grill if 40 grills are produced. Ave. profit = Find the marginal ave...

A: Given query is to find the average profit, marginal average profit.

Q: SOWE THE PIFFERENTIAL EOMATIONS 3(x+ 3y-4) dy t (x -3y +z) dx = o %3D

A: First we made a homogenous equation for this we put x=X+h and y=Y+k Then we get homogenous equation ...

Q: 1.0 1,6 -6 6 -6-

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Q: 4. Homogeneous Differential Equation: (r+2ry –4y' dx-(r² -&ry-4y'dy =0 x=2; Use the substitution y- ...

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Q: Let i=, =, and =. Please do all of the following. (a) Compute i x ũ. (b) Compute the scalar triple p...

A: Dot and cross product

Q: Determine the volume of a solid produced by rotating about the line y=14.9 the region bounded by the...

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Q: (1–sin a)(1+sin a) (1–sin a)(1+sin a) Which expression is equivalent to for all values of a for whic...

A: Solution: 1-sin α1+sin αcos α