Description suppose f(x) is given: 1- explain steps you take to find out where Min and Max points are: 2- how do you know where the function f(x0 is increasing or decreasing.

Q: In Exercises 29–58, find the minimum and maximum value of the func- tion on the given interval by…

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Q: Consider the infinite series true? A (В C 1+ n=1 1 47² n=1 The integral test can be used to verify…

A: Given:  The infinite series: ∑n=1∞ 1n2. The integral test can be used to verify the convergence of…

Q: Using the method of undermined coefficient, find the yc and yp of the following DE y" - 3y + 2y =…

A: Given :

Q: Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79 96…

A: Given that , Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79…

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = ti…

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Q: Suppose that f(x, y) = 2x + 2y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the double…

A: Suppose that fx, y=2x+2y on the domain D=x, y 1≤x≤2, x2≤y≤4 Then to evaluate the double integral…

Q: (Q4.) Find the DE by eliminating the arbitrary constants A and B from the equation. 1. x² sin(); 2.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides use the…

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: dz Find given: dt z = zeby, z=t¹, y=4+5t dz dt Your answer should only involve the variable t…

A: Here , we have given some functions now we have to find out differentiation of them

Q: Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theorem…

A: We have to find the values of c.

Q: 1. Let D be the domain of the function g(x,y)=√²-y. What is D as a subset of R27 Sketch or describe…

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Q: 8. An engineering firm is designing a ski lift. The wire rope needs to travel with a linear velocity…

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Q: Σ1/(In(n))^4 [1/(n(In(n))^4) [(n+1)/(n^{3/2}+n) Σ1/(3^n-5) sin(n)/(3^n) 1/(n^5 -1) (4) (6) Direct…

A: The solution is shown below-

Q: 23 25+2 Use the Comparison Theorem to determine whether S = dr is convergent or divergent.

A: Given integral:- ∫1∞x3x5+2dx

Q: Hi can you please be more descriptive with your answer?  Half of the answer that you provided is cut…

A: Given integral:- ∫02π∫04∫0z4r4drdzdθ

Q: Find the area of the shaded region. y = 0 2 square units y 2 -2 y=x√√4-x² y = 0 2 X i

A: We need to find out the area of the shaded region.

Q: Evaluate the following integrals and/or determine whether the integral is convergent or divergent…

A: Note:- Since you asked multiple question, as per policy we can solve only first question for you…

Q: Average Life Span One reason for the increase in human life span over the years has been the…

A: Question - Average Life Span One reason for the increase in human life span over the years has been…

Q: Find the inverse function of f. f(x) = 3x x-5 f-1(x) =

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Q: As viewed from above, a swimming pool has the shape of the ellipse 3600 + 2500 = 1, where x and y…

A: Given equation:- x23600+y22500=1

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: Use the laws of logarithms to expand and simplify the expression. ln (x(x + 5)(x + 6))

A: Given

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91, b] are collinear.…

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Q: Write the equation of the tangent line to f(x) at point (2,8). B. Write an expression for f(x) in…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 3)…

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Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of…

A: The points of inflection of a function are the points where the concavity changes. To find these…

Q: Gonzalez Manufacturing borrowed $30000. Part of the money was borrowed at 10%, part at 12%, and part…

A: Let the money borrowed at 10 % = x Let the money borrowed at 12 % = y Let the money borrowed at 14 %…

Q: 7x If h(x) = (1 + 4) ¹*, find lim h(x). X→∞

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Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing.

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Q: Let w(1, y, z) = -zy arcsin(z) where z=t", y=t, z = 7t. dz dw dt dz dy dt' dt & and using the chain…

A: Given: wx,y,z=-xyarcsin(z)where x=t4,  y=t3, z=7t To find: dwdt

Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

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Q: K Estimate the volume of material in a cylindrical shell with length 46 in., radius 9 in., and shell…

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Q: The diameter of a tree is increasing at a constant rate of 3 millimeters every 2 years. If this rate…

A: Let diameter of tree=d mm

Q: 10) f(x) = -2. -8 -6 4 -2 2 -10 -12 +16 +18 x + 1 +1 2 4 6 x

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Q: Find the point(s) on the line y = 7x + 3 closest to the point (−1, 8).

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 500 yd…

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Q: a) y' - 2xy = x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: f(x) is a rational function given in both standard and factored forms. 3x² - 32x + 64 (3x − 8) (x −…

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Q: dy Look for the of ysinhx = sec ¹ (tanh-¹x) — dx In solving, use exponentiation

A: Given equation:- ysinhx=sec-1tanh-1x

Q: (10) Show that the following limits do not exist. (0,0) (b) lim y³ +2³ (p) (0,0) ry²

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Q: (8) A manufacturer wants to make an open box of volume V 500 cubic cen- timeters using the least…

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Q: I need to obtain the derivative of this equation f(x)=sin(e3x)

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Q: me average length of the outer ear for men can be modeled as f(x) = 0.89 +0.495 In x inches here x…

A: Given The average length of the outer ear for men can be modeled as f(x)=0.89+0.495In(x) inches…

Q: 3t Find the linearization L(x) of f(x) = cotx at x = 4 The linearization is given by L(x) = Type an…

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Q: ← The half-life of a certain tranquilizer in the bloodstream is 31 hours. How long will it take for…

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Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p=…

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Q: Q4.6 If p(x) = tan (sin² (x)e"), then p'(x) = O e (2 sin (x) + sin²(x)) cos² (x) O e* (2 tan (x) +…

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Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

A: Please see the below picture for detailed solution.

Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +3 and=5 when x = 1. dt dy Find when x = 1. dt dy…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute maximum and minimum values of…

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