5. Given F(x)=x² -3x+7, find F(3) = a. b. F(x+4)= c. F(x+h)%3D F(x+h)-F(x) d.

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Find the general antiderivative of 4 2 + x3 f(x) = x³ + 6/ | + C

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Q: suppose the daily cost C of manufacturing x bicyklces is given C(x) =80x_+4800 now the average daily…

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Q: Calculate M6 for f(x) = v2x over [2, 5].

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Q: Find the general cowtion of the die. y9) + ya) - 24 =-e (9+67x+17 x²) + (861nax - o cosex) „(2).…

A: The given differential equation is , y(3)+y(2)-2y = -e3x(9+67x+17x2) +…

Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

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Q: c) f(x) = 3x – 2 5 3メー2 51

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Q: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: If u = 3x' – 6x, find the percentage error in u at x = 1, if the error in x is 0-05.

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Q: Calculate ∂ω/∂x for ω=e^−2x x(multiplied by) e^(z^2y)

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Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: Solve the equation below giving an explanation. Thanks.

A:

Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: If S f(x) dæ = 10 , and 10 , and 2f(x) dx = 4 , what is S f(x) dx ?

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Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…

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Q: If f(z) = 5.7x +6.9, then, f(x+h) is:

A: Given : fx =  5.7x+6.9

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: The antiderivative of the function f(x) = + 8x is x2 6. + 4.0x2 + c - 4.0x2 + c - -8 + 3.0x2 + c -9-…

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Q: [g(x )cx = 2 If then g(x )dx equals

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: X, t Xx t 2 Xz531 2X, + X> t Xz Z22 Naximzed By: 233y,tax2tdxg

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Q: Which is equal to () (x) given that g(x) = 1 – 3x and h(x) = Vx? %3D Vx – 3xVx 3xVx Option 1 Option…

A: Let's find.

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

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Q: 2 Find the Cerivative o3 a) y°(x+2)= c3

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Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: Evaluate (D^2 - 3D + 2)y = (1 + e^-x)^-1.

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Q: | (1 – a*)dæ (1 — а?) а

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Q: Which is equal to (4) (x) given that g(x) =1 – 3x and h(x) = Vx? %3D Vx – 3xVx - 3xVx X. Option 1…

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Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 6. 6. If f(x) dx = 37 and g(x) dx = %3D 16, find [3f(x) + 4g(x)] dx.

A: Given that                                           we have to find…

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

Q: 6. 9. If f(x) dx = 37 and g(x) dx = 18, find [2f(x) + 3g(x)] dx.

A: Answer

Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

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Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

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Q: 1) If h(x) = x³ +1, find h-'(x). (A) h-'(x) = 3+ (x +2)³ (B) h-(x) = Vx – 1 (C) h-(x) = 2r³ – 3 (D)…

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Q: Compute f(c + h) – f(c) at the indicated point. f(x) = 7x²; c = 5

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Q: The antiderivative of the function 6. + 8x is. x2 f(x) -6 + 16.0x² + c -6 4.0x? + c - 6 4.0x2 + c -…

A: Solving

Q: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: Which is equal to (2) (x) given that g(x) = 1 – 3x and h(x) = Vx? Vx – 3xVx 3x/x - Option 1 Option 2…

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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

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Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1

Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

A: