Suppose we have a velocity function and an initial condition for position: 1 1 2t v (t) = r (1) = (0, 0, 0). v t²' 1+t?, Find r (t) , with its three constants of integration!

Q: Given functions m(x) = = VE and h(z) = z - 4, state the domains of the following functions using %3D...

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Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2. ...

A: We have to find domain

Q: For the functions f(x)=-10x+7 construct and simplify the difference quotient f(x+h)−f(x) \ h The di...

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Q: Which Riemann sum represents the illustration shown? 20 - 16 12- 8 X 1 3 4 4 O 12 3 i=0 4 o 124x; i=...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: 10. Given that p(x) and f(x) are polynomial functions such that p(x) xf(x) + c, determine c if the g...

A: NOTE: Refresh your page if you can't see any equations. . here p(x) and f(x) are polynomial function...

Q: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

A: According to company rule we can answer only first question and rest can be reposted.

Q: b) Evaluate each of the following integrals: 2 i) | cos(2x)dx, 4x3 -dx. 1+ x* ii)

A: Explained below 

Q: a²f Compute :f(x.y) = (x + y)(2x + y)² and ax 'ay дхду

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Q: a) Given a proposition: 1+ 3+5+ ..+ (2n – 1) = n² +1. Demonstrate whether the proposition is a fact ...

A: We have to show given proposition is fact or faulty proof (proposition is the basic building block o...

Q: Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one sid...

A: We have to find the length of one side.

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: Find an equation of the tangent ine to the function y 4at the point P1, 4) Solution We will be able ...

A: We will use point - slope form to find equation of tangent line to curve through given point

Q: Find dy/dt. 9) y = cos (rt - 20) A) -7n sinº(nt – 20) C) 7 cos (zt - 20) B) -7n cos(nt – 20) sin(7tt...

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Q: Limits a. Find the limit: lim (x,y)→(1,1) (xy - y - 2x + 2) / (x - 1) . b. Show that lim (x,y)→(0...

A: Find limits   a. Find the limit: lim (x,y)→(1,1) (xy - y - 2x + 2) / (x - 1).b. Show that lim (x,y)→...

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an answ...

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Q: Suppose u(t) = w(t? + 4) and w' (5) = 11.

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Q: If you have been hired at an annual salary of $23,000 and expect to receive annual increases of 5%, ...

A: Annual Salary is $23000 and Annual increment is 5%. We have to calculate the salary when we begin ou...

Q: 1. lim 5* = X-2 f(x) f(x) 5.873094715 3. 125 1.1 2.5 1.3 2.3 1.5 2.01 25.40561478 1.99 24.60086108 2...

A: 1. The given limit limx→25x Note:    Multiple questions are given, we are answer with only one quest...

Q: trigonometric functions (alway decimal approximation (unless a) cos b) V3 sin- V3 c) cos

A: As per guidelines if multiparts questions are posted we are allowed to solve 1st three parts....so f...

Q: The polynomial function f(x)=ax3+ mx2-6x has intergral zeros.The graph of f(x) passes through the po...

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Q: 3-1t 4.) Iim 5x-4メト! 入ーレ Atuメ-X 5) メー3 メー0 2入+ (4x

A: NOTE: Refresh your page if you can't see any equations. . divide by x2

Q: Find the directional derivative of f(x, y, z) = xy + z° at the point P = (2, –6, –1) in the directio...

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Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4 -2(...

A: Given:        y= x+12x2+1-3

Q: 1. t seconds after jumping out of a plane, a skydiver's altitude (in metres) is approxi mated by the...

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Q: Consider the skew lines: rị(s) = (s+1, –2s+2, –s+3) r2(t) = (-t, 2t, 3t +2) Find the distance betwee...

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Q: V150 =O (Type an exact answer, using radicals as needed.) Simplify by factoring. %3D V150

A: As we know that; The radical rule: (1). a2=a ; a≥0 (2). ab=ab ; a≥0, b≥0 Given: 150

Q: 10. Consider the poly (1, 2), (2,3) and the coefficients fo

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Q: 1. Consider the following graph of f(x) =(*-5x +3x+1) -15 -05 05 15 2,5 3/5 45 a. List any x-values ...

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for...

Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...

Q: 3. The air resistance of a free falling body with mass m is assumed to be proportional to its curren...

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Q: Compute E 1 dx V1+vx

A: To evaluate:∫0211+xdx

Q: Find lim Itcos 2X メ 니(x- 폰) 2

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: We can find the answer as below

Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: (axy-ay) dx +( 3x'y - 4x) dy = 0

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Q: Let y = y (9-y), y(0) = y,, -0<y<∞ a) Sketch the graph of f(y) versus y b) Find the critical (equili...

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Q: Consider the equation sin x – cos 2x = 0 a. Show that this equation has a solution in the interval [...

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Q: Solve the equation below by any method. Give an exact answer, using radicals if needed. 2x2 – 12 = -...

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Q: If f(x) find: 7+x2 f'(x)-

A: The solution are next step is

Q: 7. Find the derivative of f(1) Type your answer without fractional or negative exponents. Use sqrt(x...

A: use power rule of polynomial for finding the derivative.

Q: Pls help ASAP. Pls show work.

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Q: If f(x) = 5xh(=), find f'(7). %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: x +3 -dx What is the antiderivative of 5% + 6r/2 + C 5 A 6x/2 + C B © A (oxs +1) + c 5 6 (D) 7 12 + ...

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Q: Figure 2 shows the shaded region S bounded by the curve x = y² – 2y + 1 and the line y = 3. Find the...

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Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: Which Riemann sum represents the illustration shown? 2.25 1.75 1.5 1.25 0.75 0.5 0.25 0.25 0.5 0.751...

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Q: Add. Simplify by collecting like radical terms, if possible. 2/3 +5/3 The answer is (Type an exact a...

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Q: Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 ...

A: NOTE: Refresh your page if you can't see any equations. . x=number of oz of grain y=number of oz of ...

Q: Sin zt 2 2 7o47 mous

A: