4(sinhx dx 5. Evaluate Vi+x? V1+x°

Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: (a) Consider A B + X-1 7x2 - 17x + 38 C (x + 6)(x – 1)²- x+6 (x – 1)² (i) Use partial fractions to…

A: (7x2-17x+38)/[(x+6)(x-1) 2]=A/(x+6) +B/(x-1) +C/(x-1) 2

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Q: sec 3xtan3x dx

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Q: f'(8)= xcas (2x)

A: Function and it's derivatives

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

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Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: Solve

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Q: 3. Compute f (x)dx f(x) = { 2x if x <1 4 if x 21

A: Given: fx=2x if x&lt;14  if x≥1 And I=∫04fxdx The Power rule: ∫xndx=xn+1n+1+C

Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p 0 and q = 1, then !! %3D…

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Q: f(x) f'lx) %3D

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Q: V. How many different ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (a²x6 – x8)Zdx

A: To find  the  value of given integral.

Q: тх sin nx dx

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A: To find the slope of tangent to the given curve.

Q: 12sin3xcos7x dx

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Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

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Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

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Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Homogeneous Equation ( 3x + 4y - 1) dx + (18 x + 24 y + 2) dy…

A: The given DE is: (3x+4y-7)dx+(18x+24y+2)dy=0⇒dydx=-3x+4y-718x+24y+2⇒dydx=-3x+4y-76(3x+4y)+2

Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: For the function S-22 + 3x if z <1 f(x) = | 2x + 2 if z 21' evaluate the limit lim f(x). (If a limit…

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Q: Find the slope of the tangent line to the curve of intersection of the graph of z = 2x2 + 3xy + 2y2…

A: We need to find slope of the tangent line.

Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

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Q: 2. Write the given (total) area as an integral. a. The area above the x- axis and below y = 4-x2 NI…

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Q: 8 sin z 6 sin z + 4 cos a Let f(x) = Then f (2) = The equation of the tangent line to y = f(x) at a…

A: Given: f(x)=8sin x6 sin x+4 cos x f'(x)=(6sin x+4cosx)d(8sin x)dx-(8sin x)d(6sin x+4cosx)dx(6sin…

Q: the bot test to determine it the use tollowing series converges or diverges

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Q: 3 |а2 — За + 2) da 2

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Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: 06 00 11. Using cofactor method, prove that det M = abcd 0. 0 0 0 0 0 d 3

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: (2х — 8)dx 2 — 6х + 18

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Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

A: The given integral is:∫-2x+4x2+1x-1dxWe need to evaluate the above integral.

Q: FIND THE GIVEN DIFFERENTIA Non Exact Equation ( 2x* - y) dx + x dy =0

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Q: SIXE-A Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X+3" 6. lim…

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Q: c) Create a set comprehension for the set F = {1,2,4,8 %3D

A: Solution of the problem as follows

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Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

Q: whether the selic) H6 use un appropriate test to determine whether the" selics gilon wnverges or be…

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Q: r = 4 csc(0) – sec(0). Convert to an equation in rectangular coordinates. (Use symbolic notation and…

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Q: 12. Given f (x) = x³ – 12x + 1 (a) Find the intervals on which f(x) is increasing or decreasing. (b)…

A: I have appended the formula used in the solution part.

Q: Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

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Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: 19. (5x2 — у) dx + xdy %3D 0

A: Given (5x2 -y)dx + xdy = 0 (5x2 -y) + xdydx = 0 Calculate whether the differential equation is exact…

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Q: 4. An earth satellite moves in a path that can be described by x2 72.5 = 1 71.5 where x and y are in…

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