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Q: Fundamental Theorem: Let f(x) = [ Jcos (In t)dt . Find the value of f'(æ). %3D

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Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: 4. ( Consider points P(1,0, 1), Q(-2,1,3), and R(4,2,5). (a) Find the parametric equations of the…

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Q: Compute the given integral. +C

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Q: Write down the solution of the differential equation: y +4y +3y x2 -5x +4 if y(0) = 0 and y (0) =1

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Q: 7. g(x) = In (3V4 + x² ) %3D

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Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the…

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Q: Find the limit. If the limit does not exist, type DNE. 2z – 2ry? = lim (1,9) → (-1,1)

A: We will find the limit.

Q: Obtain the general solution of the Select one: О а. ехp(x) 3 су (х + 2) O b. exp{x} = y (x + 2)^2

A: Given: xy dx-x+2dx=0

Q: Find exactly T() and N() for x- e'cost, y = e'sint, 2- e' for : - 0. [Choose the correct answer.)…

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Q: A theater has 27 rows of seats. The first row has 18 seats, the second row has 20 seats, the third…

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Q: 02 - In simpson's 1/3rule the intervals must be c) non of them 12 31 a) even b) odd The eigin value…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

Q: (1) Which equation could represent the circle that has the center at A = (-2, 3) and a point B = (6,…

A: Equation of circle centered at (a, b) is (x-a) ^2+(y-b) ^2=r^2 Where r is radius

Q: 6. Use Descartes's Rule of Signs to determine the possible number of positive and negative real…

A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

Q: A woman wants to construct a box whose base length is twice the base width. The material to build…

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Q: x3 Evaluate f using substitution (3-2x)5

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Q: 8. The average value of the function f over the closed interval [0, 3] is 4 and f (x) > 0 for all x…

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Q: Find the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: For inflection points , f''(x) =0 .

Q: 4. calculate JI, † (x, y, z) dS for the given surface and function. x² + y² + z² = 4, 0 < y < 1; f…

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Q: For problems 3 & 4 find the arc length function for the given vector function. 3. i (t) = (t² , 2r°,…

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Q: Evaluate (if possible) the sin

A: answer is in next step

Q: .3 29. dr 18 31. 1/2 sin (x/2 + 1) d

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Q: Approximate the point of intersection of the graphs of f and g. (х, у) 3 y 2 5 10 15 -2 -4 Solve the…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Solve the following payoff matrix to find the best strategies and the value of game: B1 B2 Al 8 A2 3…

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Q: Find the derivative y = 2 Arcsin 2 -2 a. y' = b. y' = c. y' = d. y' = V2x-x² V2x-x2 V2x-x? 2x-x²

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Q: Find the 11th term of the arithmetic sequence. $1264.02, $1946.38, $2628.74, ... a11 = $ (Type an…

A: This is a problem of arithmetic series. Please follow the procedure given below.

Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

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A: Find time t. Given rate r=12% Compounde interest formula A=P(1+r/n)nt Amount = 2P

Q: Evaluate f x3 using substitution (3–2x)5

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Q: (9) If f(x) = 2x +k and g(x) = (x – 5)/2, for what value of k is f(g(x)) = g(f(x))? %3D (A) 15 (B) 5…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e2x –…

A: Solving the problem by finding the value of x.

Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: 2) Find the absolute maximum and minimum values of f, if any, on the given interval, and state where…

A: We know that for absolute maxima and minimum value we do derivatives. We know that derivatives of…

Q: x3 Evaluate J 3-2x) using substitution

A: Given ∫x3(3-2x)5dx To find integration

Q: Fundamental Theorem: 2z Let f(x) = | Vcos t + t° dt . Find the value of f'(x). %3D 1

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Q: Find fractional notation for the infinite sum. (These are geometric series.) 0.1313131313...

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Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

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Q: Determine which value best approximates the surface area of z = f(x, y) over the region R. (Make…

A: Given that the area of surface z = f(x,y) over the region. Let consider the given function, f(x,y) =…

Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

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Q: Given the vector-valued function R(t) = -6cos(1-2t) i+8t j+6 sin(1 2t) k. Find: (a) the length of…

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Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

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Q: Use series to estimate the lim m X-1

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Q: Find the exact values of the six trigonometric functions of the angle 8 shown in the figure. (Use…

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Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

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Q: 5. A squirrel runs along the edge of a fence. The graph of the squirrelľ's velocity v(t), in m/sec,…

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

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