[C D] E C [-2 [F G] and B- FE 1. Let A- where C and Find AB andA-B.

Q: Given f(t) = 3t – 4 and g(t) =7 – t², find the following: - %3D a. (f – 9) (t) b. (f o g) (t) (go f)…

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Q: In the given question  as follows  ,determine whether the statement is true or false. If it is…

A: x=ft  &  y=gt Differentiating with respect to t, we get dxdt=f't  &  dydt=g't Now,…

Q: Suppose that f(0) = f(2) and f' (2) = 2 and f" is continouos, 2 Find the value of xf" (x)dx = (a) 4…

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Q: Suppose that f(0) = f(2) and f (2) = 1 and f" is continouos, 2 Find the value of xf"(x)dx = (a) 4…

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Q: c1 f(x, y) dy da = F(z, 9) dz dy %3D O True O False

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Q: Let T: P2(IR) → P2 (R) be defined by T(p(x)) = p(x) – 3p'(x). Given that %3D - T(1+x + x?) = a + bx…

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Q: 2. Given the functions below, find A. (A + B + C +D + E + F) B. (P + Q +R + M + N) (x² +1)(x+1) (2x…

A: Both parts are solved below in detail.

Q: a b c Given det de f 3, find ghi а b c det 5 d 5 e 5 f ghi a b det e %3D g + 5 d h + 5 e i+5 f a b c…

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Q: If f(x) = ax + b where a 0, then 1 dx = f(x) In |ax + b| + C, a, b, C e R. True False

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Q: -25 -3e c) s+2

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Q: f (x) = cx, for 1<x<2 and 0 otherwise. Vhat is the value of c? А. 1/4 В. 1/2 C. 2/3 D. 1

A: Given,f(x)=cX     ;   1≤X≤20        ;   otherwise

Q: (c) If f (2) = (2³ + 6) e'0-, 10z and f' (6i) = re®̟ then what is the value of r² ?

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Q: Find f'(1) given that f(x) ax+b cx+d' where a, b, c, d are constant.

A: we have to find derivative.

Q: the interval in which the root exists for the function f(x) =x² – 16=D0 is O a. [0,3] O b. none O c.…

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Q: Suppose that f(0) = f(2) and f' (2) = 1 and f" is continouos , 2 Find the value of xf"(x)dx = (a) 4…

A: As per our guidelines we are supposed to answer only first question, please repost other question as…

Q: For S dx -=In(F (x))+C. What is F (/3) if C=0? (*+**) (xtan-(x) +1) A - 6. B 3. D 3.

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Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

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Q: Use Simpson's rules to find the value of b if o f(x)dx - 0.5 and h=D0.5 Select one: а. 0.5 b. 1.5 С.…

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

A: Using inverse Laplace transform,

Q: (a) G = Z where a * b = a + b – 1 for all a, b EG (b) G = {r € Q |r > 0 } where a * b = ab for all…

A:

Q: I. If f(x, y) = x² – y² + 4xy – 7x + 10, find (a) f(2, 1) (c) f(x + h, y) (b) f(-3, 5) (d) f(x, y +…

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three…

Q: Which of the following expressions are not valid? Why? (a) [ f* 1(x, y) dy dz [T (c) [[1(x, y) dy de…

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Q: 0 ≤t≤ 27, then C F. dr = 0.

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Q: ,-(ax²+2bxy+cy²) dædy = e (Hint: Let s = x+By and t = yx+8y, where (ad – BY)² = ac-b². Then ax?…

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Q: dt 4. If f(r) = | 3. and f'(e) = (b – 1) determine the values of a and b.

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Q: Evaluate ffp Vx² + y² dA, where D is the domain in Figure 4 F D F : x² + y? = 4 G: (x – 1)² + y² = 1…

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Q: 3. If f f(x)dx = 7, then , (2f(x) + 5) dx = %3D %3D (A) 14 (В) 19 (C) 24 (D) 29 (E) 57

A: Integration.

Q: Q3) prove that: fa+¹h f(x).dx h 2h 4h - = 3 [ƒ (a) + f(a + 4h)] + f(a+2h) + [f(a+h) + f(a + 3h)] 3 3

A: Introduction: Numerical integration is a word utilized in evaluation to explain a set of strategies…

Q: If f(x) dx g(x) dx = 5, what is the value of // f(xg(y) dA where D is the = 1 and %3D

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Q: If f(x, y) = (8x2 + 8y³)³, then f_(0,0) %3D %3D A) 0 B) 2 C) 8 D) 1 E) Does not exist

A: Let us consider the two variable function f(x,y) Partial derivative of the function with respect to…

Q: 3. The statement f(x) dx = [ f(y) dy is, A. true B. false C. sometimes true D. neither true nor…

A: Given,            The statement is ∫abfxdx=∫abfydy.To find : Check whether the statement is true of…

Q: Let * = 3.54, and y 3.31. Determine the value of C when you evaluate %3D 5+x xp-

A: Given ,y=∫x5+xdxSubstitute…

Q: If f(x, y) = ecosy, then find Ꭷ f Ꭷ2 f + Ox2 " dy2

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Q: (b) If f (2) = (249 + 8) e8ɛ, then at how many points the function f (2)is not differentiable? (c)…

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Q: 2. Given the functions below, find A. (A + B + C + D+ E+ F) B. (P + Q+R+ M + N) (x² + 1)(x +1) y = 2…

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Q: If f(x,y) x³y2 + x²y3-3xy and x = 2r + 3s, y=r-s. %3D %3D then find when as r = 1 and s 0. Select…

A: Given f(x,y) = x3y2+x2y3-3xyx = 2r+3sy = r-s Hence ∂f∂s = ∂f∂x∂x∂s+∂f∂y∂y∂s =…

Q: For f(x.y) = 3x* - 4x°y+5y° - 4, find f,(1, – 2). O A. 12 О В. - 12 OC. 36 O D. 24

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Q: If f(2) = 16, f'(2) = 2, g(x) = xf(x) – 4F(x), then find g'(2) %3D %3D %3D a. 19 b. 22 O c 13 O d.…

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Q: Find a - b - c; for b>0. Given PS: f(x) = [n! (2x + 1)"] with : n=0 ROC: R = a IOC: (18 C

A: The give power series is                            f(x)=∑n=0∞n!2x+1n  with:…

Q: (c) Find A? fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, f5 = 218, fe = 250, f7 =…

A: We will find out the required value.

Q: -8 | f(x) dx = := 6, f(2) da = 3, f(2) da = 7 | f(x) dx = 7 Let -10 10 I f(x) dr = Find -8 and /.…

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Q: Suppose that f(0) = f(2) and f' (2) = 2 and f" is continouos, 2. Find the value of xf" (x)dx = (a) 4…

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Q: If a < b < c, then f(1) di - ff(t) dt = %3D O f(b) -f(c) O f(c)-f(b) O"f(t) dt

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Q: (a) (b) с O AB AC AD вс DE DF OEF F No bridges A D O AB AD BE CF DE EF No bridges B E E B

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Q: For f(x,y) = Inx+y³, find f( e 5,6). f( e 5,6) = [

A: We have to find f( e5 , 6)

Q: 2r+3, x<1 f (x) dx if f (x) = 5, Evaluate x21 A 21 B 19 28 D 16

A:

Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

Q: F(s) = => f(t) =? (s+A)²(s+B)3

A:

Q: d(a*) Suppose a E R, where a>0, a +1 what is dr A xa*-1

A: To find:ddxax

Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other