Question Select your answer. 1 if r < 4 Given f(z) = estimate lim f(x). 1 x2, if z > 4 4 16 does not exist 2 Answer

Q: DIFFERENTIAL EQUATIONS Solve using variation of parameters or reduction of order Show your step-by-s...

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Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: B. A discrete random variable X has the lollowing probability distribution: 1 1 2 P(X) y 9. 9. 1. Fi...

A: use the basic  property of probability 

Q: 1. In February, NVIDIA stock rose from $197 a share to $243 a share, while AMD stock increased from ...

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Q: Find the radius of convergence and the interval of convergence. 2 K(k + 1) 1) First apply the Ratio ...

A: The given series is: ∑k=1∞xkk(k+1)...(1) So, ak=xkk(k+1); k≥1

Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: | sin 2x cos7x dx

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Q: Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average val...

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Q: 2ayda + (y 2 - x2) dy = 0 %3D

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A: In this question we have to determine all intervals on which f is both decreasing and concave down.

Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: — 3 6 -4х + 10у 2x – 5y = 3

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Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: Determine (in ordered pair) the point of intersection of the lines 2x – 5y = 10 and 3x + 2y = 6.

A: Intersection of two lines- Intersection point will satisfy the equation of both lines .

Q: 25. Evaluate the following definite integrals. c) LIVII – x dx

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Q: Evaluate the indefinite integral sin (t)cos (t)dt

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Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

A: The given function is  f(x)=9-xif x≤9x-9if x&gt;9

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

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Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: C. y =1+3y tan x

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: Sse sech²xtanh²x dx 2.

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. d, In (n² + 5) –...

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Q: The population of a city is 45,000. The city grows continuously by 2.8% per year. If this trend cont...

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Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

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Q: Integration by parts. cos?x sin4x

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Q: 4ー npaメ lim メ-2

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3...

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Q: Find the inverse of the given matrix and verify if [A][A]-1 = [A]=1[A] = [1]: [25 5 [A] = |10 4 8 16...

A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to encl...

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Q: 12. Solve the following inequalities. a) -7x + 8 < 4x - 2 b) (3- 4x)(x + 1)(7 – 2x) <0 6x-9 c) 3x-2 ...

A: For (a),     -7x+8≤ 4x-2⇒-7x≤ 4x-10⇒-11x≤ -10⇒x≥1011 For (b),     3-4xx+17-2x≤ 0⇒x≤ -1  or  34≤ x≤72

Q: 1. Consider a 100L tank containing 50L of salt water with a concentration of 1kg/L. Suppose that eac...

A: We have to find ivp. 

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +...

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Q: Integration by parts. cos?x – dx sin4x

A: Given:        ∫cos2xsin4xdx Rewrite/simplify using trigonometric/hyperbolic identities: we know that...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: cof z-csc z dx So 2cotzcosz

A: a detailed solution is given below 

Q: sin x dx 2- cos²x CoS

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Q: Q1. Each of the following curves cuts out regions above and below the x-axis between the given point...

A: see below the answer and calculation

Q: e"; xo = 6

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Q: we might learn in a physics class that the air pressure can be found as a function of altitude h fee...

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