Let lim f(x)=9 and lim g(x)=27. Use the limit rules to find the following limit. X-3 X→3 f(x) lim f(x) lim g(x) X-3

Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A:     ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: The graphical method of linear programming is restricted to problems having no less than three varia...

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Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression b...

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Q: Vx m = (b) Find equations of the tangent line at the point (1, 5). y = Find equations of the tangent...

A: Topic:- application of derivatives

Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: Jse the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = -. Use decimal notation. ...

A: Given function is fx=95+x2, a=2 and ∆x=-12∆f≈0.22222Compute error and percentage error  

Q: Which of the following ordered pairs satisfy the 7x+8y0? а. (1,-5) b. (5,-1) . с. (1,1) • d. (0,0)

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Q: tanh 2x ln (cosh 2x)dx

A: Evaluate the integral ∫tanh2xlncosh2xdx

Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0

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Q: dx 9х2 — 12х — 5 9x2

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Q: Assume that p, q : S' > → R are continuous and p + 0. Find all solutions of the differential S1 equa...

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Q: f(x) = 8Vx + 1; g(x) = x² + 9 %3D

A: Given: - The functions are, f(x)=8x+1 and g(x)=x2+9 To find: - The value of f∘g and g∘f

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane d...

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Q: II. Find the limits of the ff by applying the techniques of evaluating limit theorems. x2 + 4x + 3 1...

A: We can solve the questions to find the limit as below.

Q: 00 1 7. n2 +1 n=1

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Q: Let R be the region bounded by y = 7 sin(z), y = 7(x – 2)*, and y = 3x + 4, and containing the point...

A: R be the region bounded by y=7sinπ2x, y=7x-22 and y=3x+4that contains the point 2,7.

Q: Use the Chain Rule to evaluate the partial derivatives and dv ди se se at (и, v) %3D (-3, -3). f(x, ...

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Q: (-1)" 6. (0.999)" n=0 M:

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the specifi...

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Q: sketch a possible graph of a function f that satisfies the following conditions: i) f'(x) > 0 for x ...

A: topic - functions

Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and fractio...

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Q: Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at ...

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 4 - x^2 and x=0 from 0 to...

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Q: 10telupleO nnidgs c) tanx = -1.5 d) 2 sin x = 1.05 %3D 0". rdguena a": 123-6 b": o"11so b" 303 6a" द...

A: Note: As per our policy we can only solve three subparts of the  question.

Q: a The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where...

A: length of curve

Q: Which of the following is/are signified by lim f(x) = 0? | The value of x goes out to infinity, when...

A: To find what it signifies

Q: Evaluate the definite integral: dz 15

A: We have to solve the given definite integral

Q: How fast is the surface area of a cube increasing when the length of the edge is 3 in and its rate o...

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Q: Evaluate the definite integral 4 sin(x)dx

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Q: Find the partial sum S, for a geometric series such that a4 = 48, ag 1536, and n = :9. Sum =

A: Given that: a4=48a9=1536n=9

Q: QUESTION: Find the area in the first quadrant bounded by the coordinate axes and the parabolic arc V...

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Q: The indicated function y1(x) is a solution of the given differential equation. Use reductic -SP(x) d...

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Q: e equation of the tangent line to the curve y = . at the point (3,- ) ) is x+16y +11=0 x+8y - 7 = 0 ...

A: Topic:- calculus

Q: Describe the graph of the following systems of linear equations: 9x + 2y = -1 9x + 2y = 1 • a. depen...

A: Given that:   9x+2y=-1.   ....... (1)                         9x+2y=1.   ....... (2) 

Q: Find the increase in the volume of a spherical balloon when its radius is increased from 2.5 inches ...

A: Given: Initial radius = 2.5 in Final radius = 3.0 in

Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where ...

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Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: 21 Censtruction A winch at the sp of a 12-uter ildng pae of the same kength to a vertical position. ...

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Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

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Q: Karen decided to put her money into two investments. She deposited an amount in an investment paying...

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Q: 2 50 = 50t Rint 204 Rint %3D

A: Solving the problem by finding the Rint.

Q: Let f(x) = 2x + 2x 5 Use the limit definition of the derivative to calculate the derivative of f: f'...

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Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx d...

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x = 1x·ln(...

Q: Reduce the equation to standard form, classify the surface and sketch it     x2 = 2y2 + 3z2

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Q: Reduce the equation to standard form, classify the surface and sketch it    4y2 + z2 - x - 16y - 4z ...

A: Given: 4y2 + z2 - x - 16y - 4z + 20 = 0

Q: dt 4е-t — et

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Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 lim f(x) = -2, X → 2- lim f(x) = 2 and f(...

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

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Q: das sdas :: consider the curve satisfying yll =6x and is tangent to the line y=5-3x at x=1. what is ...

A: Given that: Curve y''=6x and tangent to the line y=5-3x at x=1

Q: Section 4-7 : Triple Integrals in Spherical Coordinates 7. Evaluate the following integral by first ...

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