Find the minimum and maximum values of the function y = 2613 + 39t² on [1,2] by comparing values at the critical points and endpoints. Submit your answers as exact values. Do not round. Ymin = Ymax =

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A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

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Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

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Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

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A: This is problem of continuity of the function.  Function is called as continuous if the right hand s...

Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

A: Given that: d2xdt2+2dxdt+5x=8e-t

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Q: x? – 3 - 3 dx x +1 Evaluate

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The...

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Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

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Q: 1 ao et/2 dt = 0.50 2 An e-1/2 cos 2nt dt = 0.504 1+ 16n? 8n b, = et/2 sin 2nt dt = 0.504

A: a0 = (1/π) ∫0π e-t/2 dt , put -t/2 = x , dt = - 2dx Using formula ∫ et dt = et + c a0 = (1/π) ∫ ex (...

Q: EVALUATE AND SOLVE THE LINEAR DE. (D5 – 15D3 + 10D² + 60D – 72)y = 0

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Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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A: To find the equation of the tangent line at the point (a,f(a)).

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Q: D etermine if continuous f(x) = X-2 x² -14 %3D at x=2

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Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided , aa'≠bb'.T...

Q: 1132,510,1231,581,421,863,1490,682,1274,1183,945,1135,737,1068,946,1630,1037,2194,1357,443 find a)...

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Q: Find a function z=f(x,y) that has partial derivatives given below. f_x=2sin(x)cos(x)-6xy^2 and f_y =...

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Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4? Expla...

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch...

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Q: Please solve this using non-extract 2(x³+xy²+y)dx+(2x²y³+4xy²+ 2x²y+x⁴y+2x)dy=0 ; y(2) = 0

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Q: C. MULTIPLE CHOICE. Write the letter of the correct answer. 1) Which of the following is a critical ...

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Q: Solve the following: dx 1. xV4x2 - 25

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Q: 2 Can the Fundamental Theorem of Calculus be used to find /. L dx? 6-x 6-x O Yes, f(x) = is continuo...

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Q: not possible , explain why the operation cannot be performed. -8 7 -5 4 5 3 [2 A = -5 ,B -9 6 ,D E=7...

A: Here is given that A is matrix of order 2*2  but matrix D is 3*3 so given operation is not possible ...

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A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

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Q: A patient receives a 150 mg injection of a drug every 4 hours. The graph shows the amount f(t) of th...

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Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

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Q: (xール) 2. 16

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Q: Consider the function f(x) = x – 50x? + 3, - 4 < x < 11. | The absolute maximum of f(x) (on the give...

A: Given : x4-50x2+3 Interval given : -4 &lt;= x &lt;=11 to find : point of absolute maximum and absolu...

Q: X´- 2x - 63 Find the limits in a) through c) below for the function f(x)= Use – ∞ and o when appropr...

A: Given that: f(x)=x2-2x-63x-9

Q: 55-68, evaluate the sine, cosine, and tar of the angle without using a calculator. 58. 675° 2n 64. 3

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4