Write a in the form r(t) = (2t+5)i + (-t)j + (-1²)k, t= -1 a=a+T+aNN at the given value of t without finding T and ==T+N Tuno exact answers using radicale

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: A region bounded by f(x) = x + 1, y = 0, x = 1, and x = 4 is shown. What is the volume of the solid…

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A: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) x² √…

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Q: 3. Find the particular solution of 4y" + 25y = 0 when x = 0, y = -2; y' = 0

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Q: Find the constant a such that the function is continuous on the entire real line. x ≥ 1 x < 1 a=…

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Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

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Q: a) -dox ; b) 2: sin xdx; e² 4+9e²

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Q: Use integration by parts to establish the reduction formula: [(In x)" daz = 2(lnx)" - n [ (in…

A: ∫lnxndx Integration by parts ∫udv=uv-∫vdu

Q: Find the constant a such that the function is continuous on the entire real line.. x² a2 a = g(x) =…

A: To find the constant  such that the function is continuous on the entire real line.

Q: 4 (3x² – √x) dx

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: Evaluate the surface integral. 11, 1²₁ yz ds S is the surface with parametric equations x = u², y =…

A: To evaluate the surface integral ∫∫S yz dS, we first need to compute the necessary components for…

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Q: Can the Fundamental Theorem of Calculus be used to find xcosx²dx?

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Q: The derivative of y = 4cosxsinx is: ○ a) yl= 4(1 — 2 sin² x) b) y/= -4 sin x cos x c) dy = 4 sin x…

A: To determine the derivative of the following function.

Q: Determine arc length of the graph of the equation (y-1)3  = x2 where the interval is [9,11].

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

A: A=P1+rnnt⇒A=Amount at time t⇒n=compounded period⇒r=rate of interest⇒t=time in years⇒P=initial amount

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Q: If an object's position over time is given by the function d(t) = (t² + 2)e on what interval is the…

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Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

Q: Let f(x) = e (a) reflecting the graph of g(x) in the x-axis; (b) reflecting the graph of g(x) in the…

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Q: Determine whether each of the following sequences converges? Justify your answer carefully. You may…

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Q: 7-52 Find the derivative of the function. 7. f(x) = (2x³ - 5x² + 4)5 8. f(x) = (x³ + 3x² − x)50

A: We have,

Q: For the integral below give brainstorm two possible approaches (e.g. “substitution, with u = ...”,…

A: Given :  I = ∫sin(ln(x))dx   To find : For the integral give brainstorm two possible approaches…

Q: 22. √₁² (x² – (2 (x² - 4x + 2) dx

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: thank you for the explanation but i think you misunderstood me the exam is an mcq exam of 25 minutes…

A: Given integral,I=∫011(x-2)x2+2xdxWe need to find whether the given integral converges or diverges…

Q: c) f(x) = secx sin.x d) g(t)= cost t²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose that ƒ(2) = 2, ƒ(7) = 8, ƒ'(2) = 3, ƒ'(7) = 4 and f" is continuous. Find the value of the…

A: f2=2,f7=8,f'2=3,f'7=4 and f'' is continuous

Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

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Q: 10. Solve and check by integrating factor: {Integrating factor e[2(=)α = } y '+ 2 y = 4

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Q: The subject is: Precalculus The general subject is: Introduction to Calculus and the specific…

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Q: Consider the following limit. lim Ax+0+ 8 x + Ax Ax 8 X Simplify the rational expression as much as…

A: This question is related to right hand side limit

Q: Consider the following vector function. r(t) = ( 26, 12², 1²) (a) Find the unit tangent and unit…

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Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: Using algebra, find the point at which the line h(x) = (x, y) = = 2x + 0 intersects the line k(x) =…

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Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

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Q: Q3: Solve the differential equation by the Laplace: (choose one) 1. y" - 3y' + 2y = 16e³t 2. y" +…

A: Note : as per guidelines we support only first question.kindly repost next question.

Q: Solve the formula for k 7k + ka a = f

A: Use multiplication rules

Q: quation, a point, and a slope field are given. dx=x√y cos x, (0,4) V/1

A: We are given differential equation dydx=xycosx a point 0,4 and slope field

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx