The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3 x. This curve also passes through the point (2, 8). Find the equation of this curve.

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A: Here given 3x + sin(x) - ex = 0Let  f(x) = 3x + sin(x) - ex ∴ f′(x) = 3 + cos(x) - exx0 = 2.5

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A: Solution:-

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Q: H.W:- Find the determinant for the following matrices: 0.3 0.2 0.2] 4. A = 3 0.2 0.2 [-0.4 0.4 0.3

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Q: P.1: Consider f (x) = a) Sketch this function by hand showing the asymptotic points and their values...

A: To find asymptote and to graph the sketch of the below function. fx=12x2 fx=e−2x2

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Q: et l2 be the same region as in part (2). Write this region in the form 12 = {(z, y) : e<ysd: a(y) SI...

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Q: 3. Let S be the set of BS Math students, M be the set of math courses/subjects, and p(s, m) be the p...

A: This is a problem of Logic.

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Q: of x3 - x - 3 = 0 using If the starting gues ue of the root after %3D

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Q: For which of the following integrals would partial fraction decomposition be an appropriate method o...

A: We have,∫2x+1x2-9x+18dx=∫2x+1x2-3x-6x+18dx=∫2x+1xx-3-6x-3dx=∫2x+1x-3x-6dx

Q: 01. Determine the splitting field of x4 + x2 + 1 over Q. Also find its degree over Q.

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Q: Prove the following inequality, (1+x)^n>/= 1+nx+(n(n+1)/2)x^2, x>/=0 for any n>/=1

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Q: Let z (х, у). Show that z- 2' 2 X + y -

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Q: The differential equation ty' = cos² (y) is . ...linear, separable, and autonomous. O.nonlinear, non...

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Q: consider He unction: f(c)= t ax, whete. IS a Teal number. 9. Give zeros of f- How does Hhe number de...

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Q: Use the cyclical alphabetic encrypting code that shifts each letter 8 positions to decode the follow...

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Q: t" + t"-2 + an–3t"-3+ ... + ait + ao. Let Mnxn be the set of all n-square symmetric matrices and the...

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Q: A mass that weighs 8 pounds stretches a spring 6 inches. The system is acted on by an external force...

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Q: s-4 s+1 2. L(sin 2x + e2x+3) = . s²+4 s-2 Hint: e²x+3 = (e2x)(e³) -7s*+2s²+24 3. L(x* + x² – 7)

A: L{ eat}  = 1s-a    ,  L{sinat} = as2 + a2,     L{xn} = n!sn+11. L( e4x + e-x + x2  ) =L {e4x} + L{ e...

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Q: The alternating series converges to given multiples of r. (The value of x to 15 decimal places is r ...

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Q: The preference ballots for three candidates (A, B, C) are shown. Fill in the number of votes in the ...

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Q: 2) Show hat the expected value of pN is p, i.e., PN is a valid estimator for p.

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Q: The value of ⌊−3.4⌋ is​

A: The greatest integer function is the round off of the real number down to the integer less than the ...

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A: Introduction: The triangular matrix is a square matrix. There are two different kinds of triangular ...

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Q: Let T = {o E S4|0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T= S3.

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Q: Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

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Q: Prove the following inequality п(п — 1) (1+ x)" 21+ nx + x², r20 2 for any n > 1.

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Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q= 80...

A: The demand equation is q=800−20p, 0≤p≤40 Here p is price in dollars and q is the quantity.

Q: tan"x jun's de - | tan"-x dx (n 1) n- 1 tan x sec" r sec x dx (n 1) n- 1

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Q: 2n-1 + Prove that the series 1+ 22 +... converges. .. 33

A: Solution:-

Q: Find the number of different ways the letters of the word BALLOON can be arranged?

A: