Question Given (-6 (-62⁰ - 42³ + 5x – 3)dx, evaluate the indefinite integral. Do not include +C' in your answer.

Q: Use a graphing utility to graph each function in the interval [0, 2π). y = 2 cos2(x), y = 2e-x + 2x…

A: To use a graphing utility to graph each function in the interval [0, 2π). y=2 cos2x, y=2e-x+2x-2 (a)…

Q: Evaluate that the integrals; 1.) J cos³x sin-7x.dx

A: We need to solve integral.

Q: A person 5 feet tall is walking away from a lamp post at the rate of 60 feet per minute. When the…

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Q: If h(x) = 8x³ + 8x²-3x - 2, what is the x coordinate of the inflection point for the graph of h(x)?…

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Q: Thank you so much for the step by step, I am confused how we got \sqrt{ 3} over 2. I am also…

A: I am confused how we got \sqrt{ 3} over 2. I am also confused when we added the 2 \sqrt{3 } over 2…

Q: Consider the following. sin((9.65)² + (8.35)2) - sin(9² +9²) Find z = f(x, y). f(x, y) = 0 X Use the…

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Q: 4. Obtain a Cartesian equation for the path by eliminating the parameter [x(t) = 1 + sin² (t) y(t) =…

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Q: Find dz dt dz dt z = x¹, x = t³, y = −5+ 4t ce4y, || given: Your answer should only involve the…

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Q: 5. Let T (u, v) = (x(u), y(u, v)) be the mapping defined by T (u, v)= (4u, 2u +3v). Let D be the…

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Q: Solve the following differential equations d²y dy 5 dx² a) b) 2d²y dx - 14y = 2 cos(x) dy +7x+ dx²…

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Q: If 0.2 mg/ml is adminis- tered three times in a 48-hour period, what is the total number of…

A: If 0.2 mg/ml is administered three times in a 48-hour period, to findthe total number of milligrams…

Q: determine the volume of the shape obtained by rotating the region bound by y=x^2 and y=6-x around…

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Q: Below is the graph of the function f(x). M On what intervals is f(x) concave down? -1.5 1.5 x 0.5…

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

Q: Assume that y is directly proportional to x. Use the given x-value and y-value to find a linear mo…

A: given y is directly proportional to x.given x=2,y=58

Q: wers are not unique. cle centered at the origin with radius 4, generated counterclockwise cle…

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Q: 27. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (a) ff(x)…

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

Q: f'(x) for f(x) = 10840 d - a. 1 (In 4)(x + 1) b. 6x5(In 4) x6+1 C. 6x5 + 6x°

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Q: A. The function f(x) point at x = B. The function y = interval x √²+1 has a critical concave up on…

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Q: √ √ [ 23/₁ + √² + √i ] α₁ dt

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Q: curve ï = 3t — 5, y = 4t +6 with 5 ≤ t ≤ 6.

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Q: The temperature in an art museum at time t(hours) is T(t)=20+5cos(π/12t)(Celcius). Find the average…

A: Given that T(t) = 20 + 5cosπ12t. We have to find the average temperature over (0,24) hours.

Q: Evaluate the integral. *98 + x² 1⁹8 VX dx

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Q: Evaluate Sou y ds, C: z = t², y = t, 0 < t < 2

A: Apple the integral rules

Q: y" +9y = cos(3t), y(0) = 0, y'(0) = 6

A: y"+9y = cos (3t) y(0)=0, y'(0)=0.

Q: A. The function f(x)=√x² + 1 has a critical point at x =

A: according to bartleby guide line we do only first part of multiple questions. (A)  given,…

Q: 9. Find the limit of the sequence an = 1+4n2 1+n² if it is convergent.

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Q: How many different 6- digit phone numbers do not contain the digit 2? Assume that any digit in the…

A: How many different 6- digit phone numbers do not contain the digit 2.

Q: Find the equation of the line perpendicular to the line 3x + 5y = -9, through the point (-1,4). y-4…

A: The equation of the given line is 3x+5y=-9 The point through which the perpendicular line passes x0,…

Q: Determine if the sequence converges or diverges. I it converges, give the value. 2. {an} = {5 -…

A: Determine if the sequence converges or diverges. If it converges, give the value.  {an}= {5-1/n}

Q: Powers of trigonometric functions are rewritten to be useful in calculus. Verify the identity.…

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Q: 2√x + √y = 3

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Q: 1. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the given function.…

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: f(x,y)=xy, In the direction of &lt;1,5&gt; at the point (4,-5)

Q: If h(x) is continuous on [−3, 7] and 7 30 ["5h(2)dx = 37 7' what is the average value of the…

A: Average value of a function h( x ) for the interval [ a , b ] is given as  average value = 1b -…

Q: (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a = 0) is 2 co + C₁x + ₂x² + €3x³ + ₁x²…

A: The given function is:f(x)=lnsec x

Q: Let bbe as convergent positive series. Which of the following test is successful for determination…

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Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: K For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x+h)-f(x)]/h. 9…

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Q: Let f(x)=√x. (a) Use linear approximation at x = = 125 to approximate f(124.7) = 124.7. The Linear…

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Q: Suppose that f(x, y) = 4x + 3y at which −3 ≤ x ≤ 3, -3 ≤ y ≤ 3. Absolute minimum of f(x, y) is…

A: Given, the function is f(x,y)=4x+3y.

Q: Find the indefinite integral. 1 2 + 5x6 (30x³) dx 1 2+5X -(30x5) dx = 6

A: ∫12+5x6(30x5)dx

Q: Y1 = csc(X) - 1 1 - sin(x) 17/₁1/2 Y2 = CSc(x)

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: f(x,y) = xy direction vector = {6 , -4} at point (x , y) = (-6 , -1)

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. √³x 4 y'…

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Q: 1) Suppose a line 1₁ contains the points (1, 2, -4) and (3, 0, 1). a. Find the formula of 1₁. b. Is…

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Q: The validity of the​ Weber-Fechner Law has been the subject of great debate amount psychologists. An…

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Q: Solve the initial value problem for x as a function of t.. dx (1²-13t+42) dt =1 for (t> 7), x(8) = 0…

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Q: Find the gradient vector field of f(x, y) = ln(x + 3y)

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 4x sin(xy)…

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