Where did the square go and how did we get -4 as a coefficient

Q: The height of a projectile launched into the air is given by f(t)= - 16t2 +97t+9, where t is the…

A: Topic- Average rate of range of function over interval we are given f(t)=-16t2+97t+9Average rate of…

Q: . Compute the derivative (r₁(t) · r₂(t)) if r₁(t) = (tº,t7, t8) 1₂(t) = (e¹0¹, e²¹, e³¹) (Use…

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Q: Find the distance of the point (4,2,−5)(4,2,−5) from the line r(t)=⟨1+3t,1+3t,5−3t⟩.

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y (4,4)

A: We are asked to find the limit of the function from the graph

Q: 3 - x answer the following questions: Given the function f(x) = 3x a) Calculate the slope of the…

A: The slope of the tangent line to the given curve is equal to the derivative of the given function at…

Q: Tim 04X 9-X X an

A: Given function, limx→09-x-3x

Q: Find the distance from the point (3, −2, 5) to the plane x + 2y + 3z = 12.

A: The point is given by x1, y1, z1 = 3,-2,5 The equation of plane is x+2y+3z=12 Formula Used: The…

Q: у= 3 3x +1 3x-1

A: Here, we need to find the derivative. 3x+13x-13' =133x+13x-1233x+13x-1'…

Q: g(x)= 3√√3x-2

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Q: AH expressed as a combination of vectors is: Q Faty ● टे - वे Oa+c Oa-c C F H B

A: We know that by Triangle method, Draw the vectors one after another, placing the initial point of…

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: 3t Consider the curve r = (e³t cos(7t), e³t sin(7t), e³t). Compute the arclength function s(t):…

A: NOTE: Refresh your page if you can't see any equations. . compare all entries

Q: Find the second derivative of the function. f(x) = (x2+5)8 F"(x) =

A: Given query is to find the second derivative of the expression.

Q: Graph the function f(x) = are -2, 0, and 1. Clear All Draw: 104 9 8 6 + -10 -H # -H -14 - 4x² and…

A: Let's solve for tangent line slope and draw a tangent line.

Q: Z = 3 + 2¹, find |ZI.

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Q: Find the second derivative of the function. (4x2 − x + 1)(x3 − 7)

A: Find second derivative  Solution is done in step 2

Q: Q.1.A: Find the domain and range of each function (choose only two) G(t) = 746

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Q: ) The slope of the curve at P(1,-6) is ) The equation of the tangent line to the curve at P(1, -6)…

A: Follow the procedure given below.

Q: Q2 Find the values of x for which the series converges 3n xn a) En=0 n!

A: The given power series: ∑n=0∞3nxnn!We will basically find the interval of convergence.

Q: Find the area of triangle ABC if <C = 110°,a=10 and b= 20

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Q: Let A = (2,-5,-4), B=(-2,-2,-4), C=(-7,3,-6), and D= (-3, 0, -6). Find the area of the parallelogram…

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Q: M y = ex ( ₁₁ + C ₂ x + c ₂ x ³²). :3).

A: Given y=exc1+c2x+c3x3

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: 19. Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50-mg…

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Q: B)Solve the differential equation=e*-y. dx

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Q: For the functions f(x)=x+4, g(x) = 2x² - 7x-4, find (gof)(x). (gof)(x) = (Simplify your answer.) ...

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Q: x+y yeydy = dx

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Q: -2 -2 y²+5 if 9(y) = {1-3y if --1 -1.04 DNE (a) lim g (2 3-6 (b) lim g lim g (y) y² +5 y+-2 lim g(y)…

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Q: List the interval(s) on which f is decreasing. The interval(s) on which f is decreasing is/are (Type…

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Q: Evaluate: * 1 2 z² dz z²+3z +2 -6лi 3лi inside the circle |z| = 4 4 3 -6 πί

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Q: 15. 3n? 'n(n + 2) n-1

A: Solution: According to our guidelines we can answer only the first question and the rest can be…

Q: Given the function f(x) a) Calculate the slope of the tangent line at the point (-2,- 12). = 4x x²,…

A: Here, the given function is: f(x)=4x-x2⇒f'(x)=ddx(f(x))             =ddx(4x-x2)…

Q: In Exercises 1-16, find the maximum and minimum values of th given function and the points at which…

A: Question 1: Given, fx,y=x2+y20≤x≤2,0≤y≤2 Note: On differentiating partially with respect to one…

Q: Mr. Yang's ISP (Internet Service Provider) charges are $10 a month for 8 hours of service plus $0.50…

A: Mr. Yang's ISP (Internet Service Provider) charges are $10 a month for 8 hours of service plus $0.50…

Q: 7. cot층 8. sec 23m If tan 0 = 3 and O is in quadrant III, find sect

A: Given problems:- 7. cot5π6 8. sec23π6 9. If tanθ=3 and θ  is in quadrant III, find secθ

Q: 26. {an} 1.15 = - n

A:

Q: The scalar multiplication of a vector by a positive value results in another vector having the same…

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Q: Evaluate the expression. d³ P 4+3+ x = -1

A: See this solution in below.

Q: Can calculus limits have a decimal form?

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Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 8+ 7 6 5 4 3 2 1…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: -5+ Use the graph of f(x) above to estimate the value of f'(-3) to one decimal plac f'(-3) =

A: Use Definition of limits to calculate f'(-3)

Q: The national debt of a South American country t years from now is predicted to be D(t) = 85 + 9t4/3…

A: This is a problem related to derivative and function calculation. Please follow the procedure given…

Q: Find a polynomial function with the given real zeros whose graph contains the given point. Zeros: 5,…

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Q: F"(x) = f(x) = 36 √√x

A: Given that , fx=36x3 find f''x=?

Q: Find functions f and g such that the given function is the composition f(g(x)). (Use non-identity…

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Q: Given the following functions: f(x) = = a) b) Domain: 1 x-1 Check Answer and g(x) Find the…

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Q: Solve the differential equation dy dx Give an implicit solution and use c as the constant. - y =…

A: I am attaching image so that you understand each and every step.

Q: Evaluate f(4) and f(4.1) and use the results to approximate f'(4). (Round your answer to one decimal…

A: This question can be solved using the formula of approximation of derivativesf(a+h)-f(a)=f'(a)×h

Q: 9 (y) = (y-4) (2y + y²)

A: Here is the solution: