Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim (9x - In(x))

Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 3 (Round your answer to five de...

A: To evaluate ∫36dxx4+3 using Simpson's Rule for the value N=6 Simpson's rule formula is: ∫abf(x) dx≈S...

Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

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Q: Let g be a differentiable function such that g (4) = 0.325 and g' (x) = e- (cos()). What is the valu...

A: Solution: g(4)=0.325   (Given) g'(x)=1xe-xcosx100

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Q: SOve the inequality x²34-10 LO X-4 using the test-point method. Express your answer in interlai nota...

A: x2-3x-10x-4<0⇒x+2x-5x-4<0⇒x<-2  or   4<x<5⇒Solution:  x<-2  or   4<x<5  Inte...

Q: Y = logio (x? + 9) %3D

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A: Curve is given at point (0,1/2).We will find the equation of the tangent line to the curve.Below fin...

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Q: S, x(x + 5)dx

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Q: On a circle with a circumference of 38 cm, the arc intercepted an 100° central angle. Find the arc l...

A: Given : circle with a circumference of 38 cm the arc intercepted an 100° central angle

Q: Vx - 9 lim X→81 X – 81

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Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the close...

A: Given function f(x)=sin(2x) cos(1+x)       ; 1≤x≤3 use the formula 2 sin A cos B = sin(A+B)+sin(A-B)

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A: As per the guidelines, are supposed to solve only one problem, please re-post the other problems ind...

Q: In the previous Problem Set question, we started looking at the position function s (t), the positio...

A: Solution ) s ( t )  = e 7t sin(2t) Velocity function v(t) = s'(t) [ we use product rule  {F(x) , g(x...

Q: whether

A: As per policy, only first question is answered. Please refer to the image below 

Q: Sketch the graph of each of the following functions. (a) f(x,y) = cos x (b) f(x, y) = 3x? + 3y? – 6x...

A: Sketch the graph of function

Q: Section 2.9 p. 252/254 # 398 For the following exercises, find the antiderivatives for the given fun...

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Q: dQ where Q = V3x“ + dt + 3y² Use the Chain Rule to find +z", x= sin t, y= cos t, and z= sin t. dQ %3...

A: Given query is to find derivative using chain rule.

Q: dy 2х dx e2y

A: Follow the procedure given below.

Q: When you evaluate: dx The sum of the coefficient of - for any constant n is A None of the given choi...

A: This is a basic integration problem

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight incr...

A: We can find the required model as below.

Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

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

Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with r...

A: Put x=r cosθ  and y=r sin(θ). As x,y→0,0 then r→0+. L'Hospital Rule :Suppose we have          limx→...

Q: Example 8 Video Example ) Differentiate y = x7Vx. Solution 1 Since both the base and the exponent ar...

A: Given query is to find the derivative of the expression.

Q: The region bounded by f(x) = - 1la + 6x + 27, a = 0, and y 0 is rotated about the y-axis. Find %3D %...

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Q: Differentiate y = (x² + 7x – 1)(5x + 2)

A: We have to differentiate y with respect to y

Q: V1-x? 1 x2 + 1 1 X.

A: Follow the procedure given below.

Q: A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a p...

A: Given: ft=-t5+3t4-6t3-2t2+60t Note: Since the procedure is missing, we have used the standard proced...

Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a possible function t...

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: 2. Given a function value of an acute angle, find the other five trigonometric function values. sin ...

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Q: Let f be the function given by f (x) = | (-t² + 2t + 3) d't. On what intervals is f 10 increasing?

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

Q: 20 15- 10- 5- 10 15 20 The rate at which people arrive at a theater box office is modeled by the fun...

A: In order to find the number of people entered in the time 0 < t < 20, we need to obtain the ar...

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the tri...

A: Given that the altitude of a triangle is increasing at a rate of 3 centimeter/ mimute.⇒dhdt=3 centim...

Q: Also find the solution of the differential equation that satisfies the initial condition y(1)=3(simp...

A: (a). The given differential equation is: x2y'+xy=4

Q: A company produces computers. The demand equation for this computer is given by p(g)= -5q + 6500. If...

A: Given problem:- A company produces computers. The demand equation for this computer is given by p(q)...

Q: If F is a continuous on the set of real numbers, then (A True (B False

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Q: Find the maximum rate of change of f(x, y) = In(x² + y²) at the point (1, -4) and the direction in w...

A: Here, the given function is: f(x,y)=ln(x2+y2)

Q: Solve log r = 1 – log(x – 3). If there is more than one solution, write the numbers in ascending ord...

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Q: Find the exact value of: sin-1 (-) %3D %3D %3D 11

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Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line. ...

A: topic - derivative of a function and point of horizontal tangent line

Q: Find the indefinite integral. Include a multiplication sign between functions. For example, z e2. 21...

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Q: 3. lim f(x) = -2, lim f(x) = 2 and f(2) = 0 4. lim f(x) = +∞, lim f(x) = -00 X-3- *- 2+ Y 3+

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Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

A: Let's find. 

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...