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Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence? ...

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Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

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Q: 17. у %3D 5x + 1, у%3D6, х%3D0

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Q: lim cos G+5 +

A: limx→πcosx2+π4+12  

Q: lim 4 sin(x + n) + 3

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Q: 5x + 2 lim log + 6 10x + 12 ° X-

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Q: Given: g(x) = -2x² + 3. Determine the slope of the secant lines the curve, given the coordinates P(1...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

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Q: Solve the following systems of equations. Sketch their graphs and identify the intersection points i...

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Q: For the demand function q = D(p) = 323 - p, find the following. a) The elasticity b) The elasticity ...

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Q: y = 3x?+1 ; (0,1)

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Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the...

A: We will find the rate of change of radius. 

Q: 1 Evaluate J (37 + x°) dx

A: On solving this integration we will get

Q: Evaluate (x" S (aT +") da 3x Answer: Submit Answer

A: We will solve the integration. 

Q: A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from...

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Q: Evaluate / (ei + a* ) dt

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Q: Use the chain rule to find the derivative of  f(x)= 3(3x^10-6x^9)^17 You do not need to expand out ...

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Q: -3 sec-(VI) y = 4"(log, r)sech z

A: Given y=-3sec-1x4xlog2xsechx To find dydx

Q: X - 5 dx -2x + 2

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differen...

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Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .  

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: Decide whether the sequence can be represented perfectly by a linear or quadratic model. 8,14,24,38,...

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Q: Find the area of the triangle with vertices P(1,5, -3), Q(0,0,0) and R(3, 4, 1). | NOTE: Enter the e...

A: given vetrices P(1,5,-3), Q(0,0,0) and R(3,4,1)

Q: (-1)*k 42. k4 + 1 k=1

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Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: Find the volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: 4. Evaluate > (9 × 10-k) if possible. If not possible, explain why. As part of your solution, state ...

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Q: For solving the following recurrence relation, how many initial conditions are required? c(n) = c(n-...

A: The given recurrence relation is: c(n)=c(n-1)+n*c(n-2)+(n-2)*c(n-3)+(n-3)*c(n-4)+2...(1)

Q: For the series determine whether it converges or whether it diverges. As part of your solution, clea...

A: Given series ∑k=0∞1k3

Q: Determine the derivative of the function f log. tan 5m + sec 5m| with respect to m. %3D sec (5m) о 5...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: deandn=a.ean 

Q: Determine the I coordinate of the centroid bounded by curves of the polynomial functions y = r* – x ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: values

A: We will find the limits. 

Q: Find the arc length function for the curve y = 2x3/2 starting at the point (1,2). %3D

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 + ...

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 91...

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Q: 15. x*y' + 2xy = In x, y(1) = 2

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Q: For items 8 & 9, express the complex number in rectangularform. 8. 4 cis - A. 1+ iv7 B. 2+i 2V3 C. 2...

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 ...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution )a)  S = P e0.12n S' (n) = P (d/dn) e0.12n S'(n) = P × 0.12×e0.12n [ (d/dx)e nx = nenx  ] S...

Q: Find the differential dy of the given function. (Use "dx" for dx.) a. y = (x+2)/(4x-7)   dy=   b. y...

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Q: Angle A has a measure of 11 Gips. Since an angle making a full rotation measures 15 Gips and Angle ...

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Q: Find the centroid of the region bounded by the curves: x + 2y = 6 x = 0 y=0 %3D A = 3 sq. units; Cen...

A: Solution :x+2y=6y=6-x2,  x=0, y=0

Q: 2n + 2 E(-1)n+1. Vn3 +n² + n n=1

A: The given series is: ∑n=1+∞(-1)n+12n+2n3+n2+n which is an alternating series. Let, the absolute seri...

Q: O Evalunte

A: We will evaluate the double integral. 

Q: What are all of the solutions for the equation: cos²(θ) – 3cos(θ) – sin²(θ)= –2 on the interval of [...

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