S(e3t + e-3t)2 dt

Q: x³ + x² + 2x+1 dx (x² + 1)(x² + 2)

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Q: The probability density function for a continuous random variable X has the form, Find the…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: Consider the function f(t) : 8 sec-(t) – 10t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Topic = Anti derivative

Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: Find the parameter k such that the function y cos(kx) satisfies the equation y + 5y" = 0.

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Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

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Q: Find a power series representation for the function and determine the radius of convergence. f(x)=D…

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Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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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: sec 3xtan3x dx

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Q: Find the derivative of the function. g(t) = e−6/t4

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Q: f (x) = sec? x +1

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Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

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Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

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Q: 6y² -dA where D is the region in the 1st quadrant bounded by y =x' and y= 4x . Evaluate 9.

A: Here we have to evaluate the  integral of a function over a region.

Q: eax sin bx dx

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Q: Зх + 108 dx х2 + 2х — 48

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Q: re: Transform the Cartesian equation into a polar equation. Isolate r in your final equation. 3x –…

A: This question is based on conversion of rectangular coordinates to polar coordinates.

Q: Evaluate the integral (Partial Fraction Decompo! X + 4 J (x2 + 2)(x² + 1):

A: Evaluate indefinite integral.

Q: 1 |(a*x6 – x®)&dx – x®)ždx TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a? + u? sub. to u =…

A: To determine the substitution for evaluating the integral.

Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: Find T(t) and N(t) at the given point. r(t) = (t – 6)i + tj; t = 6 T(6) = N(6) = %3D

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Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of x feet are…

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Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

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Q: The graph of one complete period of a cosine curve is given. y (a) Find the amplitude, period, and…

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Q: Find the value(s) of k that makes the given function continuous. f(z) = { S-3z +4 if r <k -I+3 ifk…

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Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: Evaluate the integral. 18 J xp- 3/2-36 x 18 3/2-36x

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: We are allowed to solve one question at a time. Kindly repost other problem in next question. Thank…

Q: Find the average value of the function f(t) = 4 t sine) on the interval [0, 20]. Round your answer…

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given query is to find the rate of change of distance between the cars.

Q: 6. Given i [2, – 5]and i [- 7,2] find %3D а. 5 - b. i C.

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Q: How does sinx/x + 2sinx behave as x approaches zero? A. -1 B -1/2 C. 1/3 D. does not exist…

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Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: Find the 44th derivative of the function f(x) cos(2). = The answer is function f 144) (æ) = cos (x)…

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Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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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…

Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

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Q: The shaded region shown below is bounded by the functions f(x)=−x2+10f(x)=−x2+10 and…

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Q: 5. A 6-ft man walks away from a 15-ft lamppost at a speed of 3 ft/s. Find the rate at which his…

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Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

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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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