Use Simpson's rules to find the value of b if f(x)dx z0.5 and h=0.5 Select one: a. 0.5 b. 1.5 c. 2 d. 1

Q: If g' (x) = f(x) with g(0) = a, g(1) = b, g(3) = c, and g(4) = d. , express the value of æf dx in…

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Q: Given x = 2e3t and y = (2t – 1)3, find the value of when t = 3. Round your dx2 answer to 3 decimal…

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Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: Use your calculator to make the graph of f(x) = x³ - 5x. df (a) Is- positive or negative at x = 2?…

A: The given function is f(x)=x3-5x

Q: For the function y = x² + 2x, find the value of dx when x = 3 and dy is 0.8. O A. 0.1 О В. 10 O.1 O…

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Q: dy Estimate dx of the function y = 4x? O 17 20 16 18

A: differentiate w.r.t x

Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: Gi iven that fx) dx: find | f(x) dx. 77

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = t, y = 2t, t= 5 1 10 V10…

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Q: dy Find dx2 in terms of x and y. x?y? – 10x = 1

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Q: (d) Find the value of x f' (g (x)) dx. 1

A: Definite integration from graph

Q: Q5:A/ Find In x dx XVIN? x + 1

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

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Q: Assuming 0 < c < d, find the value of b (in terms of c and d ) for the function given

A: given: 0<c<d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find f (t), given F(s)> 3 a) 343 c.) 3t4 b) 글 3 di) fty

A: Using inverse Laplace transform,

Q: 3) -24 e 7)子, sinst?

A: We need to solve given problem:

Q: If f(x)dx=2a – 5b, then [f(x) – 2]dx=? a

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Q: b) If y = 6 x° In(x), find f '(x). f'(x)= ===: c) If f(x) = e7**+4x²+77,. find f '(x). f'(x)= | ===…

A: The product rule of derivative states that uv'=u'v+v'u.

Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a…

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Q: Given that x and y are related by the equation x2 + y² = 100, evaluate at the dx point (V50, V50).

A: given thatx2+y2=100     ....1to finddydx   at (50, 50)

Q: Find the function f(x) that satisfies the given conditions. df 55xy11x? + 4; f(0) = 9 dx Answer f(x)…

A: Given the differential equation and f(0)=9 And we have to find f(x)

Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: Answer the ff. A.) Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of…

A: dy/dx = x23 and y=3 when x=-1,dydx= x23If  f'x=gx  then  fx=∫gxdxy=…

Q: d'y Given that y = √3x+5, find the value of k such that dx² kdy dx = 0.

A: Given: y=3x+5 To find: The value of k such that d2ydx2-kydydx=0.

Q: Determine the value of 6 L 9f (x)dx given that "f(x)dx = -7 11 9,

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Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js .

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Q: Find the local extreme values of f(x, y) = 3y² – 2y³ – 3x² +6xy

A: According to Second Derivative Test for Local Extreme Values Suppose that f(x,y) and its first…

Q: d²y Find for the given function. dæ? y = 11 csc(x) d²y Preview dx?

A: Differentiating given function twice with respect to x

Q: If f(t) = est + e-5t, find f'(t). Use exact values.

A: As we know that: The sum/difference rule: f±g'=f'±g' The chain rule:fgx'=f'gx·g'x Given: ft=e5t+e-5t

Q: Determine whether the following statementsare true and give an explanation or counterexample.If in…

A: we know that for any given function ∫abfxdx=-∫bafxdx which means given statement is false

Q: Given that f(1) = 2and f′(1) = 3, find the following values or state that the value cannot be…

A: We will differentiate the relation between f and f-1…

Q: 7 If f(æ) da 16 and f(x) dx = 3.3, find f(x) dx. Answer:

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Q: The derivative of the functionf (x) which is given by f (x) = x - 2x+ 3 at x = 4 is D. 10 E. 4 A. 59…

A: To find the derivative of a function at x= 4 we will differentiate the function w.r.t. x and then…

Q: What is the value of Idx? (x-x2)Z x3+1 Evaluate dx ? x2-4 f dx

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Q: Calculate | f(x)dx, where 12 – x? for x 2

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Q: Q1: If f(s, t) = s2t + In(t2- s) find the value of (f sst) a-

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Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

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Q: Suppose y=f(x) is an even function. If , f(x) dx =7 and 25 So f(x) dx 25 16, find the value of S…

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Q: dy Find for the following expressions: dx a) y = x5 In(3x)

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Q: Find the value of dy/dx if x = t2/(5+t)  and y= sqrt (5+t2)

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Q: Let y =  4 x6 . Find values for A and B so that  dy dx  =  A xB , whereA = B…

A: As the given equation is not in proper form, the answer will be given in 2 cases.Case 1: Obtain the…

Q: Let f(x) = 8x – 15x2 – 3, x2 1.5. Find the value of df -1 at the point x =1185= f(6). dx

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Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Q: If S f(x) dx = 12 and f(x) dx = 42, find the value of (2f(x) – 3) dx. 1.

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Q: If the pdf is 22 e&r4x² , 0<x<1 Find K.

A: The total probability is always 1. So, ∫-∞∞f(x)dx=1

Q: Use the definition to find L{f(t)}

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