15 If ƒ [ f(x) dx = 1/2 and ["f(x) dx = 5, then [*f(x) dx =? A) 9/2 B) 5/2 (C) 19/2 (D) 25/2

Q: A supply function has the equation is p = · -q²+20, and the demand function is decribed by the…

A: for equilibrium point  supply and demand are equal there for  12q2 +20=86-6q-3q2

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A: dsintdt=costdcostdt=-sintdydx=dydtdxdt

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A: GivenThe profit function for a certain commodity is P(x)=120x-x2-1100   We need to findThe level of…

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Q: Simplify cos(t)csc(t) to a single trig function.

A: As we know the trigonometric identities: 1). sinx=1cscx 2). cotx=cosxsinx   To simplify the…

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A: Given:      fx=ax3+bx Relative extremum value at 2,-1 To be a relative extremum, f'x=0 For the value…

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A: Given query is to find the integral after substitution.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (x - 1)" (n + 1)2n Determine the values of x for which the power series Σ(-1)". n=0 converges.…

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Q: 3. Find tan(t) dt using a u-substitution. (Hint: write tan(t) in terms of sint and cost.)

A: Given query is to find the integral.

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Q: -6-4-2 4- 2- -2- -4 2 46 JV

A: See the graph at x=-5 and its left and right neighbourhood x→-5-h and x→-5+h, here h→0+. From the…

Q: Consider the function f(x) = 7x¹0 + 7x5 - 9x¹4 - 10. Enter the antiderivative of f(x) Question Help:…

A: To find the antiderivative of the following function

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →when x = 1, y = 1

A:

Q: 6. Determine whether the series is convergent or divergent. If it converges, find the sum. Σ(++ (4)…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we have

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Q: 43. Let f(x) be a continuous function. Express (2) + (2) + + lim as a definite integral. +(A)

A: Given expression:- limn→∞1nf1n+f2n+..........+fnn

Q: Evaluate the following integrals analytically: Cπ/2 #1 #2 #3 (8 + 4 cos x) dx 3 [² (1 - e²^x) dx [²₂…

A: The given integrals, 1. ∫0π28+4 cosxdx 2. ∫031-e-xdx 3. ∫-241-x-4x3+2x5dx We have to solve these…

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A:

Q: 2. Building X is 100ft tall. Building Y is 200ft away from building X, where the distance is…

A: We can solve the given problem by using the trigonometric formulas.

Q: (d) ³x² - 2x|dx

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A: Given Graph:-

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Q: x1 --- X2 X3 X4 x5 (For each question, enter your answer as a comma-separated list, e.g., x1,x3,x5.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

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Q: 4) Evaluate ĺ jedydx 29f071p =

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Q: Consider the function f(t) = 6 sec² (t) - 10t². Let F(t) be the antiderivative of f(t) with F(0) =…

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Q: (part 1 of 3) x¹, x ≤0 f(x) = ={ x-9, x>0 aluate the function for x = 2.

A: a)  for x&gt;0  f(x)=x-9      for  x≤0, f(x)=x4

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A: To find the surface area of the part of sphere lying above the cone.

Q: 12. R(y) = fr 1³ sint dt

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Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

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Q: The figure below shows the derivative F' of F. Let F (0) = 0. F'(1) ਜਿਹ 8 + 2 4 6 Of the four…

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Q: SS (√x + √y) dA, R: 0≤x≤ 1,0 ≤ y ≤1 R

A: The given integral, ∬Rx+ydA, R:0≤x≤1, 0≤y≤1 We have to evaluate this integral. Use the formula…

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A: Solution:

Q: Use summation properties and formulas to rewrite and evaluate the sum. 29 k=1 100(k² − 6k + 1) -

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Q: 3. f(x) 3x - 4 x2 + 1 [-2,2]

A: Given function:- fx=3x-4x2+1

Q: Find the relative maximum and minimum values. f(x,y) = x² + y² - 10x+10y - 7 Select the correct…

A: Find the relative maximum and minimum values. f(x,y)=x2+y2-10x+10y-7

Q: 1 The vector field F = is conservative. Find a potential function for F compute SF dr, where C is…

A: To find the given line integral.

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

A: