Use the definition of the derivative to evaluate  lim In(2+h) - In(2)/h h approaches 0

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: The perimeter of the window is 16ft. The perimeter of the window is the sum of perimeter of the…

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Q: dy d²y dx² dx Find and dy dx || x = et, = y = te-t d²y dx² For which values of t is the curve…

A: The given curve is:x=et ,     y=te-t

Q: Esc Solve the following quadratic equation: -2x² + 3x-2=0 81°F Mostly cloudy F1 10 x= 0 x=(-²/+ F2 2…

A: -2x2+3x-2=0 Comparing this with the equation ax2+bx+c=0 We get,  a=-2,b=3,c=-2 So,  b2=32=9…

Q: Find the signed volume V of the solid that lies between the paraboloid z = x² + y2 and the region D…

A: To find the signed volume of the solid between the paraboloid z=x2+y2 and the region D in the…

Q: S ㅋ K=l Veek

A: To determine whether the following sum diverges or converges. ∑k=1∞ 7k ek

Q: Find the function with derivative f′(x)=e^9x that passes through the point P=(0,4/9)…

A: given  f'(x)=e9x , that passes through the point P=(0,49)we know,  ∫eaxdx=eaxa+c

Q: Q.10: Find the indefinite integral using trigonometric substitution. Show the substitution process…

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Q: Graph the given function using a semilogarithmic scale. 3 y = 4x -x

A: In this question , we will draw the graph of the given function.

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

A: Let a polynomial P( x ) = ( x - a )r( y - b )s + K  Where root a with multiplicity r root b with…

Q: Given the direction shown field below, which of the following are equilibrium solutions? Select all…

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Q: 9.. Series with exponentials and factorials: use the ratio test to test the convergence of complete.…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

A: nth term of an arithmetic sequence is given by an = a1 + ( n - 1 )d where a1 = first term d common…

Q: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum…

A: Application of Derivative

Q: Find the line integral of ​f(x,y,z)=x+y+z over the​ straight-line segment from ​(5,4,2) to (4,2,-2)

A: Note:- Since you asked multiple question ,according to our policy we can solve only first question…

Q: Evaluate the discriminant of the quadratic formula, b2 - 4 ac, and determine the nature of the…

A: For the quadratic equation ax2+bx+c=0, the discriminant is b2-4ac

Q: ade in New York City is given by the function D(q) = -1.1q+230, where q is the quantity of items in…

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Q: A homeowner wants to build a fence to enclose a 320 square yard rectangular area in his backyard.…

A: x=length of the rectangle y=width of the rectangle

Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

A: The points given to us is, (15,24);(18,37);(22,25).   We can write, y=f(x)

Q: Use spherical coordinates. Find the volume of the part of the ball p sa that lies between the cones…

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Q: For the following polynomial function f(x) = -x - 4x + 3, find the upper bound within which all of…

A: Polynomial Function is  f(x)= -x6 -4x +3

Q: Find an equation of the sphere with center (3, -11, 8) and radius 10. 4 Use an equation to describe…

A: Standard equation of sphere with center x1,y1,z1 and radius=r⇒x-x12+y-y12+z-z12=r2

Q: Ho 4

A: By the answering guidelines of Bartleby, we can answer only first question from multiple questions,…

Q: Find the line integral of ​f(x,y,z)=x+y+z over the​ straight-line segment from ​(5,4,2) to (4,2,-2)

A: NOTE: Refresh your page if you can't see any equations. . the given function is  given points are…

Q: Set up the formula to find the balance after 8 years for a total of $12,000 invested at an annual…

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: 3. Solve the second order differential equation using Laplace Transforms: Include all the steps y" -…

A: By using Laplace transforms, to solve y''-7y'+12y=16e2t  with y0=6 and y'0=4.

Q: Use the parametric equations of an ellipse, x = a cos(0), y = b sin(0), 0≤ 0 ≤ 27, to find the area…

A: By using the parametric equations of an ellipse, x=a cosθ, y=b sinθ, 0≤θ≤2π,  to find the area that…

Q: Determine whether the following limit type is indeterminate, has a fixed finite value, is or does…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Differentiate the function. g(x) = = 3+8x 9-2x

A: Let two function u and v then ddx( uv ) = vdudx - udvdx( v )2Given g( x ) = 3 + 8x9 - 2x

Q: Evaluate the following integral using the given graph. 7 J ( – 4) d x = } (== -4 Number 3 2 1…

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Q: Write as the sum and/or difference of logarithms. Express powers as factors. log3

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Q: Can the Fundamental Theorem of Calculus be used to find ſ²₂ (²) dæ? ○ Yes, f(x) = is continuous on…

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Q: Suppose that a colony of bacteria grows according to the natural law of growth with a growth…

A: Suppose that a colony of bacteria grows according to the natural law of growth with  a growth…

Q: Examine the following graph of a function modeling damped harmonic motion. Find the equation for the…

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Q: Switch the integration order in / = 3 2(1-3) f f(x,y) dy dx

A: I=∫03∫-21-x23221-x3fx,ydydx

Q: Find the following limit. - 4t² – 2t – 1, lim . 3

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Q: f(x, y) = Y

A: f(x,y)=x2y-y2x

Q: Consider the function f(x) = 2x³-62²-90 +5 on the interval [-4, 10]. Find the average or mean slope…

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Q: Rewrite the expression in terms of the given angle's reference angle; then evaluate the result.…

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Q: Subject: Pre-calculation  Specific Topic: Functions and their Graphs Hello :) The questions are in…

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Q: The measure of the largest angle in a triangle is 100° larger than the sum of the measures of the…

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Q: finding if this converges or diverges

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Q: Find the sum of the infinite geometric series (if possible). -125, -25, -5, -1... 544 625 4 No Sum -…

A: -125,-25,-5,-1,............  a1=-125 a2=-25 a3=-5 Common ratio is given as r=a2a1=a3a2 r=-25-125…

Q: Find the following quotient: 6 5-i

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by (5+i)

Q: Sketch a graph that possesses the characteristics listed below. fis increasing and concave up on…

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Q: In Exercises 21-30 find the fourth Maclaurin polynomial P4 (x) for the specified function.

A: NOTE: Refresh your page if you can't see any equations. . the given function is substitute x=0 .…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of in…

A: The given curve is:r=1+9cosθ

Q: Fall Use the method of Lagrange multipliers to find the maximum and minimum of f(x,y) = 2xy subject…

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Q: e G Grades and Attend... MLA Assignment Let R be the region bounded by the functions f(x) = -2² and…

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