Calculate the Taylor polynomials T,(x) and T3(x) centered at æ = 1 for f(x) = ln(x + 1). T;(x) = T;(x) = T;(x)+

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A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and ...

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A: (2). Given:f(1)=4 ;        f(2)=-1 ;        f(3)=-3f(n+1)=5·f(n)2-2f(n-1)

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Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.

Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

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Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

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A: Given hyperboloid ;    x2-y2-z2=1  and equation of plne which is parallel to tangent plane  x+y-z=0

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A: Solution: f(θ)=12cos2θ

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A: The value of the limit of the given sequence is 1.

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Let r(t)=(t+1)i+((t^2)−1/(t−1))j+sin⁡(−2πt)k. Then limt→1r(t)=

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Q: 9. y(x) = V + ti dt

A: Fundamental theorem of calculus 

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A:  In this integral,  you can see cosy2 has exponent 4 and siny2 has exponent 1. To solve this integra...

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Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: Use the formula to calculate the balance A of an investment (in dollars) when P = $2,000, r = 4%, an...

A: Given:   A = 2000    r = 4% = 4/100 = 0.04     t = 10

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Q: 1. Prove that lim (10z – 7) = 3 using epsilon-delta definition of a limit.

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A: Let f be a function  of any variable say t be the variable.  Let f(t) be a function of variable t an...

Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

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Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

A: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cos x,...

A: The region is bounded by y=cos x and y=2-cos x, 0≤x≤2π

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Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

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

Q: Question Suppose that the following functions all have the given limit at a = -1. lim f(x) = 0 lim g...

A: Given that:                  

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A: Solving the problem by doing the integration.

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Q: Consider the following revenue function, where R is measured in dollars. R = 80x – 2.5x2 dR Find the...

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Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...

Q: Question 1 Find the limit. lim,-0(1 + 6x )' where r = 9/x. Write the exact answer. Upload your work ...

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Q: write the given expression in the form of a^2 - u2: 15 + 2t - t^2 is equal to. SUBMIT YOUR SOLUTION ...

A: Given: 15+2t-t2 To write in the form:  a2-u2 15+2t-t2 = -t2-2t-15

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Q: Pescribe how the graph of the function g(x) = - x can be obtained from the basic graph. Then graph t...

A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

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Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...