18. Create an equation and sketch the graph of a function using the following table: Time 0 15 30 45 60 75 90 105 120 Height 3.83 5 3.83 1 -1.83 -3 -1.83 1 3.83

Q: Find missing number in the series  3,12,26,45,8,22,41,65,13,32,__,85,18

A: Given data:- The given series is, 3,12,26,45,8,22,41,65,13,32,__,85,18

Q: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

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Q: 20) Differentiate f(x) = cos(e*)

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Q: Find the solution to satisfying _y(t) = dy dt = 2y y(6) = 9

A: The given differential equation is; dydt=2y As we know from the integral rule,  ∫1ax+bdx=1alnax+b+C

Q: Given the following function, find the values of f (5,2) x = 5 + xln(xy-9) f(x,y) O A. 25 OB. 10 OC.…

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Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

A:

Q: Consider the region R bounded by the functions f(x) 3x and g(x) = x² + 2. The ar a. 2 sq. units b. 3…

A: Topic:- application of integration

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - 00. n -£ (+ + -)…

A: The given sum is limn→∞∑i=1n4+in8n use the Riemann integral formula, limn→∞1n∑i=1nfin=∫01f(x)dx use…

Q: 17. tan (cos x)

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Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: Write the expression in power form ax for numbers a and b. 3 8 8x²

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: 3 (a) Find general solutions of the given differential equations: (i) y'"-6y' +9y = 0, (ii) y" - 6y'…

A: Note:-  As per your request i have done both sub parts of part (a)

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: -10 -5 I(X) 10 5 10 5 10 X

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Q: 225 ft ☐☐ X A building that is 225 feet tall casts a shadow of various lengths as the day goes by.…

A: Topic- Application of derivatives

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Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. b. C. d. 242 5 244 5 148 3 152 3

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Q: Explain how the fundamental theorem of calculus relates integrals and derivatives. Formats T B T U…

A: Fundamental theorem of calculus relates integrals and derivatives.

Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: 1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

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Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: A television camera at ground level is 2000 feet away from the launching pad of a space rocket is…

Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

A:

Q: Consider the region R bounded by the functions f(x) = 3x and g(x) a. (4,2) b. (4,1) c. (22², ²) C.…

A: Region R is bounded by the functions f(x)=3x, g(x)=x2+2 Their intersection points…

Q: 2. Provide the exact value solution(s) for 2x² + 13x + 3 = 0

A: The given equation 2x2+13x+3=0 use the quadratic formula:   The quadratic equation is of the form…

Q: = Express the following equation in standard form: y · 2(x + 2)² − 6

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Q: A woman standing on a hill sees a flagpole that she knows is 70 ft tall. The angle of depression to…

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Q: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

A: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

Q: A. x(1 + y²) ź dx = y(1 + x²) z dy dy B. = x + y dx C. dx E. F. Which of the following are separable…

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Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Evaluate the integral: 224-25 dyda 2₂ 2 [1-4] 02[1-4] +0 0.[4] 4π [+¹]

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Q: 8 S 1 Inxdr a. 0 b. 1 C. -1 ||

A:

Q: d(t): 6t 3t + a 3/6 for for α 20 0<t< 1 3 7351631 5 <t< for 13 11 3t+ for 12 6 where d denotes the…

A: Given dt=6tfor 0&lt;t≤133t+αfor 13&lt;t≤56βσfor 56&lt;t≤13123t+α2σfor 1312&lt;t≤116

Q: = { x + 15 X C(x) = if x < 100 if x ≥ 100

A: Topic:- function

Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

A: Please note that as mentioned only the last question is solved.

Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: Find dy. dx Please, expert, I do not have much money. Solve as many questions as possible, please…

A: To find the derivative of the given functions.

Q: (b) Find a particular solution for each of the given differential equations (i) y" - 6y +9y = e² - 5…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: 5. S (2x+1) dx (x+4)*(x-3)6

A: Given - ∫(2x+1)(x+4)6(x-3)6dxthen we know that -…

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Q: Find the absolute maximum of the function (x,y)= 2. Find the absolute maximum (x,y)=

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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