Suppose that f(0) = 1, f(0.5) = 2.5, f(1) = 2, and f(0.25) = f (0.75) = a. Using trapezoidal rule with n = 4 gives f f(x)dx= 1.75, then a= Select one: a. 4.5 b. 3.5 c. 2.5 d. 1.5 O O

Q: v(t) = -2vt – 4, where t is in seconds and v(t) is in meters per second. If the position of the…

A:

Q: Show how to make a quick estimate (to two decimal places) of V(4.98)² – (3.03)² without using a…

A: Given we have given  4.982-3.032

Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

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Q: Find f(t). 1. 1. (s + 8) f(t) =

A: We need to find the value of ft=L-11s+83, here, Fs=1s+83 We will use the formula L-1n!s-an+1=tneat…

Q: 6. If I leave home at timet, l'll be at the bus stop at f(t)= t+17 min. The bus leaves at 9:25. What…

A: the final answer will be 9:08  hope this answered your question.

Q: F(x)=x10+2x9+3x8+ .. +9x2+10x +11, and a =1

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Q: The table gives the values of a function obtained from an experiment. Use the table to estimate f(x)…

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Q: Let f(x) = cx3.4 and suppose that f(5) = 30. Find the value of c. (Round your answer to two decimal…

A: The function is given by fx = cx3.4 To evaluate : The value of c if f5 = 30

Q: Given: f(t)= -3 Evaluate F(2). Use 2 decimal places.

A: It is provided that f(t)=-3t. We need to calculate F(2).

Q: Find for the following function. dx2 y=e -6x2 %3D dx2

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Q: TT f(c)dc)+ =xtan"(x) 4

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Q: Suppose f(x) = (-) Evaluate: /(x) dr (A) +C 3. In (5) 3x 3. B +C In (5) · In (5) +C 3x · In (5) +C

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Q: Find the F.T of the following; f(t) = e-jwot %3D

A: Given: f(t)=e-jw0t we can write  f(t)=e-jw0t.1 By using property y(t).e-jw0t→F.T2πδw+w0

Q: complete the following table for y = f(x) = 3x² and the indicated value of a = 2 h AN -0.1 -0.01…

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Q: For the given function P = xyz – 2y²+ x²z² find the div grad 9 at point (8,5,4).

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Q: f(s, t) = – 11s?t* – 15st? – 14

A: Given,         fs,t=-11s2t4-15st2-14

Q: 4.The height, h, in metres, of a BMX rider t seconds after leaving a jump can be modelled by the…

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Q: Find F(s). F(s) = L{t(et + est 23

A: Solution is uploaded below.

Q: dz IV. Suppose z is a function of x and y, and ax² – y? = 2"e6y. Solve for dx

A: Given: z is a function of xand y and x2-y2=zxe6y. To find: ∂z∂x

Q: Calculate F(s), if given f(t) the following is b-be cosbt at (5).f(t) =

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Q: In the following function, let U and R be a variable and V be a constant. Find R'(U). v²R U = - R+V

A: Given: U=V2RR+V Now,            U=V2RR+V⇒UR+V=RV2⇒RU-V2=-VU⇒R=-VUU-V2;   U-V2≠ 0

Q: If f(t) = 13 - Vt- 30, and g(t) = (t + 9)72, find all values of a such that f(a) = g(a). Select the…

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Q: Given the function f (x) = x –- 3x2 + 5, fill-in the table below: (Note type + for positive and -…

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Q: Find dy for the following functions: - dx 6 1) у - 2 y = * 1 1 Vz² 8x4 2x8

A: 1) y = xn     dydx = nxn-1 2) y = 1x      dydx =-1x2 3) y = z     (a) if z is constant…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.