6. (6x°-4x² +1)*

Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel...

A: topic - equation of a line

Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: A rancher wants to construct two identical rectangular corrals using 200 ft of fencing. The rancher ...

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Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the ...

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: R = {y=x^3+1, x=-1, y=2}   Can you help me answer this? It is in calculus, about area

A:

Q: Sez? dx + x* dy + y dz, Cis the line segment from (1, 0, 0) to (4, 1, 2)

A: For the solution follow the next step.

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: (ysin x+xy cos x)dx+(xsin x +1)dy = 0 Ans. xy sin x+y = c

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: Question 2 (a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 anima...

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Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

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Q: Test the series for convergence or divergence

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Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: 3) f(x) =9x/チxー3 %3D

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), –1) v= (sin(0),...

A: The objective is to determine whether U and V are orthogonal, parallel or neither. 

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

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Q: Obtain the general solution of the following differential equations.

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Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

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Q: At 2:00pm a car's speedometer reads 50mph, and at 2:10pm it reads 65mph. Use the Mean Value Theorem ...

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Q: dx

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Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: Let f(x, y) = x² + In(2x – y). Find the gradient Vf(x, y) at the point (1, 1). O O O O

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Q: 2k-13k+1 6–1 00 kk k=1

A: Answer is given below.

Q: (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in b...

A: Here are the answers  1) y=1.595(1.086)x  2) 29522.6038 3) 2034  Here is the complete answer for the...

Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. RW = T3(x) - Graph fan...

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Q: 24. Vnt +1 n³ + n n=1

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Q: solve for 0 ≤ Θ < 2pi    ,                                            Θ = theta -cosΘ+sinΘ=1

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Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the ye...

A: Given a function relating the number of phone  subscribers from year 2000 to 2010

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as...

A: Slope of tangent line

Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: Given that: f is a function such that f'7 is undefined. We need to comment upon the continuity of th...

Q: Lincarize : -3x 3x² arourd = !

A: I am attaching image so that you understand each and every step.

Q: In Exercises 1-4, use the comparison test to confirm the statement. 1. 2 diverges, so diverges. n-3 ...

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Q: - partial fraction 1 dx x(x² +1}

A: Let's find. 

Q: 3. c ² +7z+10 dz, C: |F|=1

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

A: Given that       f(x) = 36-x2 over the interval [0,6] 

Q: 1. Write the equation for Sn, the nth term in the sequence of partial sums. Then determine the sum o...

A: follow next step

Q: Let y 522 + 2x + 3. If Aæ = 0.4 at x = 3, use linear approximation to estimate Ay Ay =

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Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it. 

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Determine where A(t)=t^2e^5-t is increasing and decreasing.

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Q: Q3: Solve the following first order differential equations Use any method: dy 1-2у-4х dx 1+y+2x

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Q: A. Let R be the region inside the curve C:r = 1+ sin 8 and above the line e: r = 3/4 csc 0 a. Find t...

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in rectangula...

A: Given: za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2....

Q: 1. Let f (x) = x (cos(2a)+ sin(3x)). a. Find the average value of f (x) for 0 <x < T. Show your work...

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Q: f(x) = ex, a = 1 f and T, on the same screen. y y 3 -1 -1 1 -4 -3 1 y

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Q: R = {y^2=x-1, x=5}   Can you help me answer this, its about area in calculus. That's the only give...

A: Explained below