F(t)= e²¹[(sin² 3t) (cos²31)]

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

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Q: Find the general solution of the differential equation. Use C for the constant of integration. 3 X…

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Q: x²-4 lím x→∞0 x²-x-2

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Q: Estimate the area under the graph of f(x) = 21-a² n [0, 4] by dividing [0, 4] into four equal…

A: We need to find the area under the curve using the right endpoint rule.

Q: Find the integral. Use C for the constant of integration. [2x(1+2 2*(1 + 2x)3 dx

A: Let,  I=∫2x1+2x3 dx Substitute,  1+2x=t 2x·ln2dx=dt 2xdx=dtln2 So,  I=1ln2∫t3dt ∫tndt=tn+1n+1…

Q: Find the derivative. d dz π " cos(t³) dt

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Q: Write cos in terms of sin , for in quadrant III. Oa. No correct answer Ob. cos =√1-sin²0 OC. cos =…

A: We know that identity sin2θ+cos2θ=1 then solve for cosθ cos2θ=1-sin2θ cosθ=±1-sin2θ

Q: QUESTION 8 The terminal point determined by t is O O b. O C. sin t = sin t = sin t = 7 3. 3 COS t =…

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Q: The velocity of a car is f(t) = 3t meters/second. Use a graph of f(t) to find the exact distance…

A: Given: The velocity of a car is f(t)=3t meters/second. We are required to find:  Use a graph of f(t)…

Q: If C(x) = 15,000 + 400x - 2.8x² +0.004x³ is the cost function and p(x) = 4,000 - 7x is the demand…

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Q: Evaluate the limit of f(x) numerically or state that the limit does not exist. sin(5x) 6x f(x) =…

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Q: Suppose that a company introduces a new computer game in a city using television advertisements.…

A: Px=1001+51e-0.16x Put x=0 P0=1001+51e0=1001+51 P0=10052=2513 P0=1.9207 Rounding to nearest tenth…

Q: Identify which step is incorrect in graphing g(x) = -2(x-1)4-1 Step 1: Shift right 1 unit Step 2:…

A: Given that, the function             g(x) = -2x-14 - 1

Q: 9) Find the relative maximum and minimum values for the function below give the following…

A: f(x,y) = 3 – x2 – y2   subject to constraint : x + 6y = 37 Find the Relative Maximum and Minimum…

Q: A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown.…

A: Given that, a trapezoidal plate with height = h, Bases = a, 2a, and the weight density constant = δ.…

Q: en (1, 1) is a point on the base graph of f(x) = x5 and g(x) = -(x-1)6 +5, f would be moved to on…

A: The base point is given as (1, 1). The base function is given as f(x)=x5.

Q: Given the graph of y = f(x) below, at which of the marked x-values can the following statements be…

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Q: In long division, you know it is time to stop dividing when the degree of the remainder is less than…

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Q: Find the domain of the function f(x)= {xlx>3} 7/3

A: given function is :-f(x) = x23then we have to find its domain

Q: 3) f (x, y) = - 3ху x² + y

A: fx,y=3xyx2+y

Q: If the function y = f(x) is a solution of the differential equation sin(x), then the function y =…

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Q: Consider the integral Find the Riemann sum for this integral using right endpoints and n = = 3. ||…

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Q: Let f(x) = 6x² - 8x4. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: 2. Consider the piecewise function: c) Evaluate lim f(x). x-0 d) Evaluate lim f(x). (x²-2₁x 0

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Q: Use the transformation u=x+6y, v=y-x to evaluate the given integral by first writing it as an…

A: According to our guidelines , we can answer only first question (due to multiple questions). Kindly…

Q: Find the function f(x) described by the given initial value problem. ƒ"(x) = 0, ƒ^(-1) = -5,_ƒ(-1) =…

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Q: f(x) = arctan(3x + 1)

A: We know that the derivative of arctanx =1/(1+x^2)

Q: Consider the following. 3 In(5x) = 10 (a) Complete the table to find an interval containing the…

A: Consider the following. 3 ln5x=10 (a) To complete the table to find an interval containing the…

Q: Find the integral. Use C for the constant of integration [t√ (2²-9)5 dt

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Q: Find the indefinite integral on the domain of positive real numbers for the following function: 9…

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Q: An antique lamp was worth $185 in 1965 and increases at 15% per year, giving a value formula…

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Q: Determine if the point P(-4,- 13, 10) is on the plane [x, y, z]= [6, -7, 10] + s[1, 3, 1] + [2, -2,…

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Q: Charge: The charge as a function of time is q(t) = fi(t) dt, where i (t) = 12t5 + 20t³ - 14 is the…

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Q: 8 4 I I

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: given data ,The polynomial function is of second degree with zeros of -3 and 5.

Q: Evaluate. (Use C for the constant of integration.) sec sec4(3x) dx

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Q: Find the domain of the following expression and write your answer in set builder notation. O {x\x#3}…

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Q: Find the average value of g(t)=e^(1.5t)+4 over the interval [2,6]. Average Value:

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Q: Write a polar equation of a conic with the focus at the origin and the given data. 3 4' vertices (3,…

A: Eccentricity, e=34 Vertices, 3,π;21,2π

Q: Evaluate the definite integral 6², 2 6³ using the Fundamental Theorem of Calculus, Part 2. 9 sin (x)…

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Q: Estimate the slope of the tangent line of the function y(t) = √√2t + 1 at the point t = 3.

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Q: Suppose that the function with the given graph is not f(x), but f'(x). Find the locations of all…

A: (6)

Q: Construct and graph the cubic Bézier polynomials given the following points and guidepoints. a.…

A: The end points information implies that x0=1, y0=1,x1=6,y1=2 The guide point for x0,y0 is given by…

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: Write a vector and scalar equation of each plane. | a) perpendicular to the line [x, y, z] = [2, 4,…

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Q: 67. (e4x + 1) dx

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Q: Evaluate the line integral, where C is the given curve. 6ccx (x + 5y) dx + x² dy, C consists of line…

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Q: Question 1 Identify the correct M and N for the following differential equations, then test for…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: Consider

Q: Before you start long division, order all the terms so the degrees of the terms are in ascending…

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