Expand f(x) = 3x as a half range Fourie.....sine.... series in the range 0.₁FX.. F... ..ans.: f(x) = = (sin 2x + 2 sinux + 3 = sin bx + --- नो 35

Q: Let A= de ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (a) (b)…

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Q: For items 13, 14, and 15, consider the region R bounded by y = Arctan , r = 1, and the z-axis.…

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Q: Find 넥 L -TS (s+1)e- s² + 4s + 4

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Q: An 6 in x 10 in sheet of paper is to be folded into a box, with one side open, by cutting squares in…

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Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: Find the inflection point of the following function, if any: y = x(x - 5)¹/5

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Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: f(x)= X-I x=1 √x-1 X = 1 1123 -s continuous at x = 1?

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Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: Air is being pumped out of a spherical balloon at the rate of 25 cm3/s. How fast is the radius…

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Q: Interchange the order and evaluate the integration a+c 2x pate 1²2²/17 xy² dydx a=2 c=2 show the…

A: We have to find value of given double Integral.

Q: Consider the arc L: y = 1+ cosa from (0, 2) to (,¹). of the surface formed when I is revolved about…

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Q: kx +5 for x ≤ 2 Let fx = = x-1 for x > 2 Find the value of k for which f(x) is continuous at x=2.…

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

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Q: Can someone convert the final answer to integer or decimal?

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Q: -10 h(x) -8 -6 f(x) x² -4 -9 k(x) x-3 2 10 1 8 00 2 -4 -6- -8- a(r)] 2 y = 2x+ ∞ X

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Q: Find the distance between line 2xy + z = 4.

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Q: Question 5. Limits at Infinity; Horizontal Asymptotes For the function f whose graph is given below,…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find position vector

Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: 1. Find the equation of the tangent line to f(x) = (x-1)² 3 (x+1) when x = 2.

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Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

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Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

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Q: Problem 4 A weight attached to a spring moves up and down, so that the equation d²s of motion is +…

A: A wight attached to a spring moves up and down, so that the equation of motion is d2sdt2+16s=0,…

Q: QUESTION 20 The proprietor of Cypres Recordings investigated the relationship between sales (y) and…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: To find the value of y , first, we take the logarithm on both sides of the given equation and then…

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: Calculate fa₁. (1 + tan² a) da

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Q: It takes 10 hours to fill a 200m³tank using 4 pipes. How long would it take fill a 500m³tank using 2…

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Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: Evaluate the line integral, where C is the giv z² dx + x² dy + y² dz, C is the C

A: See the details solution in below

Q: Find the given determinant by any method. 0000-91 000 20 00-70 0 040 0 0 50000

A: Given matrix, A=0000-90002000-7000400050000

Q: The area of an equilateral triangle with sides of length x is given by the function √3 defined by…

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Q: 25. fx sec²xdx is a. x tanx - In cos x b. x tan x + In cos x c. x tan x-sec²x + C d. x tanx+sec²x +…

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Q: df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

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Q: x(t) Find the point at which the line y(t) z(t) = 6+t -8 5t intersects the plane. 7 + 2t

A: SOLUTION-

Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: -3x₁ + x₂ + 3x3 = 0 -6x₁ + 3x₂ + 3x3 = 0 2x13x2 + 5x3 = 0 Write the solution set of the given…

A: The given system of equation,-3x1+x2+3x3=0-6x1+3x2+3x3=02x1-3x2+5x3=0

Q: 50lve the first order ODE UA x'sint - x Cost = -1

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Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed b y=x,…

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Q: Calculate lim X10 3x²-x-2 5x² + 4x + 1

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Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…

A: Topic:- application of derivatives

Q: Step 1: Step 2: Step 3: Step 4: +1 tan² z sin²2 +1 cos² z sin²zcos² z + cos² z cos² z (sin²z +…

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Q: 4. Given f'(1) = 4, g'(1) =— 2, ƒ(1) = 1, g(1) = 1, find h'(1) if h(x) = xg(x)+7 f(x)

A: Using definition if derivative of f/g

Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

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