Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

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Q: 6" j) E n (n+1)" n=0

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Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5? ans...

A: Given two lines, 3x-6y-2z=15 ....(i) and 2x+y-2z=5....(ii) Putting z=0 in (i) and (ii) we get, 3x-6y...

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Q: R be the region of the xy-plane which is in the fırst quadrant and inside the unit circle x² + y = 1...

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Q: If a circle with center at C(2, 3) that passes through the point P(8, – 5), which if the following p...

A: NOTE: Refresh your page if you can't see any equations. . the center of the circle is  and the poin...

Q: Find parameter a of the model by using the least square method. f(x) =x 6(x) = a* x 100 Error(a) = ,...

A: To find the parameter of the model by using the least square method.

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to ...

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Q: The level curve of the surface f(x,y) = x² + y2 + 4x -10y + 28 corresponding to c is a circle of rad...

A: We need to find equation of circle.

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

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Q: (a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b) Give...

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Q: Find the absolute maximum value and the absolute minimum value of the function f(x) = 3 on the inter...

A: To find out the absolute maximum and absolute minimum value of the function. 

Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

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Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: Suppose g is a function which has continuous derivatives, and that g(2) = 5, g'(2) = –5, g"(2) = –1,...

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Q: 2w - kW , find k. Let W =cos(5x) cosh(3y) sinh(4z) . If dx2 + + dy2 dz2 Note : If your answer is -16...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: 1. The first derivative of 3x² – 2xy = 7

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

Q: 2r -3 (x – 1)²(x² + 1) – x dx = -arctan(x) – 1 - In |x – 1|+ 2(x – 1) 1 + C 2 x -1 -

A: Prove that  ∫2x-x3x-12x2+1dx=-32tan-1x-1x-1-lnx-1+12x-1+cSolution :2x-x3x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1...

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

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Q: 5. (a) Find elementary matrices E; (avoiding ones that swap rows) which will row reduce the matrix 1...

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Q: Consider the following functions. f(x) = x and g(x) = x² – 10 %3D | Step 3 of 4: Find (fg)(-2). Answ...

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Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: 5" i) E 2"+1 п n=0

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Q: Find the open intervals on which f(x)= x^4+8x^2 is increasing or decreasing. Find the critical value...

A: Given problem:- Find the open intervals on which f(x)= x4+8x2 is increasing or decreasing. Find the ...

Q: Consider the following functions. f ((-3,-2), (2, 0), (1, – 1), (–2,-5)} and 8= (5,0), (0, 1), (1, 1...

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Q: Determine the values of a and b for the function f(x) = ax² + bx such that f(1) = 8 and f'(1) = 3 %3...

A: The given function is f(x) = ax2+bx  such that f(1) =8   and f'(1) =3. We have to find the value of ...

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible max...

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Q: Question 2. Prove g*g"t" is not regular.

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Q: Oil is leaking in a circular shape from a tanker in such way that the radius of the circular spill i...

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the su...

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Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the d...

Q: Let R be the region bounded by the rose curve, r = 8 cos(70) as shown in the diagram below. Find the...

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Q: A price p (in dollars) and demand x (in items) for a product are related by 2x - 5xp + 50p2 = 21,200...

A: We need to find rate of change of demand.

Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x? + y? +1 а. (4,1) b. (3,3)

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Q: - 3x 2 + (コメオリ)』 = e Jス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: (a) Show that the vectors v = and w = 2 are linearly independent. (b) Explain why 3 vectors in R" of...

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Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

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Q: DG question pls solve it neatly on раper Question A neal surface for which the equations G %3D %3D h...

A: The given equation is; E/L = F/M = G/N

Q: 1-coskx 2. lim = 0. kx

A: We have to find the limit of the function (1-coskx)/kx when x tends to 0 . 

Q: (1 point) Let h(x) = f(x) · g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact valu...

A: Find your answer below 

Q: A rectangular playground is to be fenced off and divided in three parts by two other fence parallel ...

A: To find the dimensions of the playground.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Select all that apply. Solve for x, 0<x<27 : tan x cos x - tan x = 0 2 TI EIN O O

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Q: II. Solve. (Round to the nearest tenth of a degree.) 3.) The height of a flagpole is 12 % feet, and ...

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Q: A particle moving along a curve in the xy-plane has position (x(t), y(t)), at time t > 0 where v(t) ...

A: solution:-v(t)=-2ln(t2+8), -10e-8tcos5tat t=5v(0)=-2ln(52+8), -10e-85cos55       =-2ln33, -10e-40cos...

Q: The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this...

A: Graph