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Q: I need help with 8

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: Calculus Question

A: Rt=25.395e-0.984t+5.42   14≤t≤6 a). To find the height, integrate the rate of growth function with r...

Q: Evaluate the following: fx sin 3xdx

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A: Given: If 0 ≤ fn(x) ≤gn(x)  and , ∑n=1∞gn(x) converges uniformly, Hence , ∑n=1∞fn(x) also converges ...

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Q: The question is attached

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A: Given: y=25x+3 To Find: (a). Start Point (b). Rise (c). Run Concept: Slopem=riserun

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A: We have given two points P0,0,2 and Q-2,4,0.  

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A: Given, the function                          We have to find the limit x and y tend to 0 and simult...

Q: Determine whether the following series converge. Justify your answers.

A: Given: ∑k=1∞−1k+12k+1k! To Determine: Whether the given series converges or not. Concept: (a). Alter...

Q: Find the first partial derivatives of the function. 4x – 7y f(x, y) = %3D 4x + 7y A(x, y) = Wx, y) =

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx

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Q: Define the term convergence?

A: According to the question, we have to define the term convergence. Basically convergent sequence is ...

Q: How do I find the derivative of this function?

A: given: f(x)=3-xex  

Q: Note that since the function f(x) is one-to-one, it satisfies the horizontal line test, meaning for ...

A: Consider the graph of f(x)   Horizontal line test for one one functions: If no horizontal line inte...

Q: Find r'(t) and antiderivative[r(t)]dt of: a. r(t) = <2tan(t), -sec(t), sin2(t)> b. r(t) = te3t...

A: (a) Obtain the derivative of r as shown below: r't=ddt2tant,ddt-sect,ddtsin2t     =2ddttant,-ddtsect...

Q: Match the graph of each function in (a)–(d) with the graphof its derivative in I–IV. Give reasons fo...

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Q: Integration review Evaluate the following integrals.

A: We have to evaluate I=∫lnw-17lnwwdw Let substitute  u=lnw-1 Differentiating both sides with respect ...

Q: The velocity of an object is given by the following functions on a specified interval. Approximate t...

A: Given :  The velocity of an object  v=12t+1 (m/s)  , for 0≤t≤8 ; n=4.   To determine : The displacem...

Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos xdx=...

Q: a winch of radius 5ft is used to lift heavy loads. if the winch makes 10 recolutions every 15 s, fin...

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Q: The integrals converge. Evaluate the integrals without using tables

A: Evaluate the integral ∫-∞22x2+4dx.

Q: I need help with 26

A: From the graph we see that at x=a there is a closed circle. This means f(a) exists. This means #A is...

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A: an = −3−n We need to determine the convergence or divergence of the sequence with the given nth term

Q: Suppose f is continuous on [1,5] and the only solutions ofthe equation  f(x)  = 6 are x = 1and x= 4 ...

A: Given: The function f is continuous on 1,5 and fx=6 has only two solution x=1, x=4 and f2=8, To show...

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1...

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Q: Determine whether the following statementsare true and give an explanation or counterexample.Propert...

A: Given: Statement 1] For any constant c, ∫abcf(x)dx=c∫abf(x)dx Statement 2] ∫abxf(x)dx=x∫abf(x)dx

Q: A projectile is launched vertically from the ground at t = 0, and its velocity in flight (in m>s)...

A: Given : The velocity of the projectile is  v (t) = 20-10 t.   To determine :   The position, displac...

Q: A = 2a, + 4a, + 10a, and B = - 5a, За, %3D

A: Part (a) At point P(0,2,-5). ρ=x2+y2+z2=0+4+25=29 ϕ=tan-1yx=tan-1(∞)=π2   Transform the vector -5az+...

Q: a winch of radius 5 ft is used to lift heavy loads. if the winch makes 8 revolutions every 15 s, fin...

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Q: Prove that lim (2a2 + 3r + 6) = 5 using the e, 8 definition of a limit. %3D a -1

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Q: Find the derivative of the trigonometric function. y = cos 4x

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact tha...

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Q: Find the derivative of the following function using the rules of differentiation: g(x) 3xv1+ x?

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Q: Explain the best way to evaluate 900!/899! without a calculator

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Q: Calculus Question

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Q: Find the point that is located on the graph of each of the following equations: y =X y = x2 y = (x- ...

A: To find the point that is located on the given equation, we choose some arbitrary value of x and sub...

Q: (1) Consider the following:  x = 1+t-1 and y = t2. Express in the form y = f(x) by eliminating the p...

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Q: Find the Use the method of cylinders to determine the volume of the solid obtained by rotating the r...

A: Given that: The curves, y=4x    and    y=x3,  x≥0 To draw the graph of the given curves,

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A: The given curve is,  x2-y2=25 To find the slope of the given curve at (5,0) The slope of the functio...

Q: Rewrite the expression, (sec x + csc x)/(1 + tan x); sin x  in terms of the given function or functi...

A: secx+cscx1+tanx