Given y(4) 6y" - 36y" + 216y' = t² - 5 + tsint, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. A suitable form of y(t) is: Y(t) = = Choose one

Q: P(r) = 3x – 3r² + 2xr³. Consider the polynomial . Determine the value of P'(9).

A: Solution :-

Q: 4. A sketch of r(x) is shown. Which of the following could be an equation for r(x)? a. r(x) = (x-a)…

A: The given graph of r(x) has zeros at point a , -b and  -c . For the zeros of r(x) , put  r(x)=0 .…

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Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

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Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 1. Given function f(x) = (2-5x)(x-6)(x+1), find (A) Degree of the polynomial, (B) Alla intercepts,…

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A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

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Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: Find the coefficients a,b in the function f(x)=ax+b so that (f(x1)-y1)^2+(f(x2)-y2)^2+(f(x3)-y3)^2…

A: Given data: Function fx=ax+b so that fx1-y12+fx2-y22+fx3-y32 is as small as possible. Given table of…

Q: = The second question: Let (W = (x2 + 2 + 2) find the value of the real constant k that achieves = 0…

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Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

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Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: For P(x)=6x* –18x² +6x² – 30x +36 -

A: given that P(x)=6x4-18x3+6x2-30x+36

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: (b) Hence find the value of S² S ²² 2y(1 + y²x) e¹²x dx dy.

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Q: If g(t) = 4t - t2, find g(t + h) - g(t) h and simplify.

A: Here it is given that;  g(t)=4t-t2 we have to find g(t+h)-g(t)h=?

Q: Find the number of zeros of g(2) = z+z++2:²+1 in the first quadrant,where z €

A: Given function is gz=z13+z4+2z2+1. We have to find the number of zeroes of gz in the first quadrant…

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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Q: Let k(x) 3x – 7 and m(x) = 3x + 1. Find the indicated value. m(x) · k(x) = Complete work must be…

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Q: t(x) = 2x-7 If t(x) =19, x=?

A: The objective of the question is determine the value of "x".

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Q: Given r(x) = 6x – 2 and t(x) = 4x< + 23, express the difference (r – t)(x).

A: r(x)=6x-2 , t(x)=4x2+23

Q: Let  f(x) = (2x − 9) / (x + 2). (b) Show f −1 exists. Let f(a) = f(b) and show that a = b.…

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