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Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

A: Let us assume ABCD be the cross-section of the beam that needs to be cut from the circular log of di...

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

Q: 00 nx n+3 n=0 3D0

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Q: representing all ellipses having its centers at the origin and transverse axis x.

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Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy ...

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Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: 21 E02= OD92 -I 2SJ84N028W058 30994 -==+==0*&645362F^4 7*70== _==_75 =%3D . The differential equatio...

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Q: A quadratic function f is given. f(x) = x2 − 4x + 5   Express f  in transformation form.

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

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Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Evaluate using long division first to write f(x) as the sum of a polynomial and a proper rational fu...

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

Q: calculus class

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Q: .Use the vertex and y-intercepts to write a forr - -2+ -3+ -4- -5+

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

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: function f is given. f(x) = V 81 – x² (a) Use a graphing calculator to draw the graph of f. y y 15 1...

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Q: Which of the following function/s is/are homogeneous? a) x3+x2y+x3 b) lnx-lny-ex/y c) ex d) 1/ (...

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Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: State the type of the quadratic surface: (중)" + (분)2 + (종), =1 1. Ellipsoid 2. Hyperboloid of one sh...

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Q: QUESTION #1 CONCENTRATION OF A DRUG IN THE BLOODSTREAM The con- centration of a certain drug in a pa...

A: We have given the blood concentration  C(t)= 0.2t/(t2+1)  1) find the rate at which the concentratio...

Q: For the cost function, find the marginal cost at the given production level x. State the units of me...

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Q: 3 dx is . Jitx The value of V1+x d. 0 b. 2 с. -1 а. 1

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Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: 2.x+y=3 3x-y=2 A Give the coordinates of each corner as an ordered pair. Parentheses and comma requi...

A: We can find the coordinates of point A and B as below.

Q: What are the dimensions of the A closed box with a square base is to have a volume of 250 cuin. The ...

A: Question: What are the dimensions of the A closed box with a square base is to have a volume of 250 ...

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

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Q: dy - y - 5x*-3x2 + 2x = 0 dx

A: Option D) None of the choices  

Q: Let S be the plane with the equation x + y – 3z – 6 = 0. - Find the distance between this plane and ...

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Q: Solve the problem and show illustration. 1. Find the maximum area of an isosceles triangle whose per...

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Q: Q1) Solve given differential equation using a variation of parameter method y" – y = 212 – t- 3

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Q: The piecewise function f represents the prescribed minimum withholding tax of a person whose monthly...

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Q: (x² +1) y " + xy′ + y =0

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Q: Solve the inequality (x-3)(r- 2)2 > 0 Select all the intervals below that are included in the soluti...

A: GIVEN:- (x-3) (x-2)2 >0  To find:- Select all  solutions which includes in the solution of given ...

Q: Find the differential equation having the solution as the equation representing all ellipses having ...

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Q: Consider the function if æ 1 f(x) = Evaluate the definite integral. | f(2) dz -2

A: Given query is to find the value of the integral.

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: You need not expand your answer. dx Calculate y = (x + 4)(x2 – 4) Ap dx

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Q: 3x Find dx -if y 2х-1 3 1 1 а. (2х-1)2 b. (2х-1)2 (2х-1)2 d. (2х-1)2

A: Given that: y=3x2x-1

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: EXERCISE 2.3.6 Let f(x) = x and g(x) = 11r. Find Dlf(x) +g(x)]. %3D EXERCISE 2.3.7 Find D (x6-7x5 + ...

A: Given that:                                  6. f(x)=x-4 and g(x)=11x37. Dx(x6-7x5+13)8. f(x)=-9x2  ...

Q: X-9 lim

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Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data...

A: Given query is to find the the linear function and time taken to completel full the balloon.

Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observe...

A: From Pythagoras theorem  for a right angle triangle with base a, height b, hypotenuse c we have, a2+...

Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

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Q: Consider the following problem: A box with an open top is to be constructed from a square piece of c...

A: As per our guidelines we are supposed to answer only three sub parts of the question. So I am solvin...