A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt I Initial Knowledge Check Find the foci of the ellipse. 9x² +16y´-36x-108 =0 (II-) and (D I Don't Know liqns

Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x about th...

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Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

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Q: Consider the function f(x)=12x^5 + 60x^4 − 100x^3 + 7. For this function there are four important in...

A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

Q: Remember: 1- Distribute 2- Combine like terms 3- Cancel with addition or subtraction 4- Cancel with ...

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Q: 1. f(x)=5x² – 30x 2. f(x) = 2x +12x² +4

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Q: 4 Find the value of f'(-1) if ƒ (x) = (3r² – 2x +1)'

A: Given,            fx=43x2-2x+13To find : f'-1

Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7 1....

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Q: If f(x) = 6 cot-lx+ 8, then find the value of f'(-2) is %3D 6.

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Q: 3. sin x cos y dx + cos x sin y dy

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Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

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Q: Find the area enclosed by the curve x = t2 - 4t, y = -Vt and the y-axis. A = S rdy or A= S. (TR-IL) ...

A: x=t2-4t, y=-ty=0 →t=0y=-2 →t=40≤t≤4dydt=-12t  

Q: y = f VI + t? dt Y : 0. t2 dt

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Q: for power substitution method, next step is * . For S(y + 2) /2 – 3y dy - (u² + 2) (2 – 39)")}(3u'du...

A: Find out the correct power substitution. 

Q: Find the indefinite integrals: x5/2 + 4x +1 a) / 2 + Te' ) dt t3 6t +

A: We know that ∫xn dx = xn+1n+1+C         n≠-1 ∫1x dx = lnx+C

Q: 1+ 2t Find the laplace transform of (i).

A: Laplace transformation.

Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: Find  dy du,  du dx, and  dy dx. y = 2   u,     u = 5x + 3

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Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: As we know that; The expression for the area of the triangle PQR is; A=12PQ→×PR→   Given: OP→=1,6,-3...

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: Question 5 of 10 View Policies Current Attempt in Progress Find the volume of the solid that results...

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Q: If f(x) = 7 cot ' + 5, then find the value of f'(-6) is -5 V37 V37 37 -7 37

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Q: 23. y + ху %3 ху , У0) %3D 3

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

A: The given problem is solved below in detail.

Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola? H...

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Q: ( 22 – 3z + 1, z < 3 14- 2, *23 valuate the following limits for h() = and Justify your answer.

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Q: aracters. * mine the slope of the tangent line to the graph of f(x)=-- at the point (4,-4).

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Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: a) dt 9 =dx xVln x b)

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Q: Find the interval on which f is increasing and in which interval f is decreasing

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Q: If g is continuous at a and f (x)=(x² -a' )8(x). fir find f'(a). Hint: Use f'(x1) = lim S(x)-f(x,) %...

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Show that lim Vn = 1. n-00

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Q: Using an appropriate substitution, (cos-1 (x) the integral S dx equals: V1-x2 -e(cos- (x) -elcos-1(-...

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Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A: Given

Q: C. Based your answers on the figure at the right. 1. [- 5, - 3] 2. (- 2, 0] 4. 3. [- 3, - 1] 3. 4. [...

A: Find your answer below 

Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

A: Given,           v=2i-j+3k , b=6i+6j+7kTo find : i The vector component of v along b.               ...

Q: fcac) fCre)ニ2x+5

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Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

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Q: Q3 : Find the PA=LU factorization of the following matrices: 2 4-2 6 0 2 4 -2 A = 3. В 6 0 3 4 2 4 4...

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Q: Which of the following best describes the function below? S (x)={* -4 ifx<2 Wr-2 if2sx if 2<.x A. Co...

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Q: consider a ctosed Kectangutar box with a If base side ir measured with ekror at H.w.y squak bare and...

A: Write the formula for the surface area and volume and then apply total derivative. 

Q: 1. Evaluate the derivative of f (x) = Vx? – 1, using the following formula. f(x+h)-f(x) a. lim h b. ...

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Q: d Compute [(2r* + 5)(4x–1] at x=} 2 24 Your answer

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Q: Given f (x)=sec.r-/2 tan .x , find f'(:).

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Q: - 20 - dr x² Vx? + 64 Evaluate the integral:

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Q: y" + y = 0.001t², y(0) = 0, y'(0) = 1.5

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Q: g) The integral S tan(vx) dx x cos2 (Vx)

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...