Find the absolute maximum and minimum values of f(x) = 2 cos x + sin 2x on the interval [0]. (Recall that cos 2x = 1 − 2 sin² x)

Q: log 457,129 is between log 457,129 A and

A: As per our guidelines, we only solve one question and rest of the question will be reposted. Formula…

Q: x(t) = Find a plane containing the line y(t) z(t) - 2x - 2y + 8z = 4 = || || 3 + 5t 7-t and…

A: Given plane and line equations:- Plane: -2x-2y+8z=4line: xt=3+5t,yt=7-t,zt=1-7t

Q: 1. A solid is formed by the rotation about the y-axis of the area bounded by the y-axis, the lines…

A: To find the area.

Q: Find 1 x²√x² + 16 J Solution Let x = 4 tan(0), - Thus, we have sec(0) tan²(0) dx. -<6 2 = << . Then…

A: According to question,Given Integral,∫1x2x2+16dx

Q: Use Cramer's rule to solve the system of equations 2x1 + x2-3x3 21-2x2 + x3 3x1 +4x22x3 = 1 = 0 =…

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Q: Find the volume under the graph of the function f(x, y) = 10x²y over the region shown in the figure…

A: Consider the region

Q: Convert the result to exponential form. The exponential form of log5 6 1.1133 is

A: We have to conver expression into exponential form.

Q: Consider the equation. 3 f(x) = at (1, 3) (a) Find an equation for the tangent line to the graph of…

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Q: Find the most general antiderivatives. a. y' = 3x² - 4x + 7 b. c. f'(x) = sec² x + cos x + 5 g (x) =…

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Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 6eex (Express numbers in exact form.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Complete the parametric equations for the line where the planes x + 5y - 12z = 26 and -9x+10y = - 20…

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Q: Determine the open intervals on which the graph is concave up or concave down. If there is more than…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: Prove by strong induction that root of 2 is irrational.

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: JJJBXY B = {(x, y, z) 1 0 ≤ x ≤ 1, -3 ≤ y ≤ 4, 0 sz s 3 Evaluate the triple integral xyz dv, where B…

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Q: log 6y (8x - 3)° 0/8+5x

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Q: Use spherical coordinates to integrate f(x, y, z) = x² + y² + z² = 81. (Give an exact answer. Use…

A: Calculation of above requirement are as follows

Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

A: Given function is: f( x ) = -x2 + 6x - 2 To find the critical point.

Q: Consider the following. the volume of the solid that lies within both the cylinder x² + y² = 25 and…

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Q: The value of a particular item can be modeled by P(t)= Po(a) where P is in dollars and t is the…

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Q: The graph below is the function f(x) -5-4 3 -2 -1 Find lim # 2 3 2 1 12 -2 -3 Y f(x) Find lim f(x)…

A: Condition of continuity at x=a limx→a fx=fa

Q: Write an equation for the transformed logarithm shown below, that passes through (-1,0) and (2,-3) 4…

A: We need to find the equation of graph.

Q: Which of the following functions 1 x+1 B. f(x) = |x on [0, 1], C. f(x) = ¹/3 on [0, 1], satisfy the…

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Q: (g) Graph y=f(x) and y=f¹(x) on the same coordinate system. -0 -8 1-7 -6 -5 -4 -3 -D 9. 8 74 6- 5-…

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Q: AB2: Use the equation of the line tangent to the graph off at x = -2 to approximate f(-1.9)..…

A: It seems that there are two separate questions here, so I'll answer them individually. Use the…

Q: A city grew in population throughout the 1980s and into the early 1990s. The population was at its…

A: A city grew in population throughout the 1980s into the early 1990s. The population was its largest…

Q: (a) Find the values of: g(2) g'(2) = (b) Is g"(2) positive, negative, or zero? ---Select--- (c)…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Use the equation to find dy dx dy dx 1 ƏF |ð öð Əx ду 1 utlu cos(xy) = 6 + sin(y)

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Q: A sporting goods store sells 100 pool tables per year. It costs $48 to store one pool table for a…

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Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: Part A is incorrect. I put in 0, it marked me as wrong. I also tried these combinations for answers…

A: Please see the below picture for detailed solution.

Q: Consider the equation. f(x) = ² at (1, 2) x (a) Find an equation for the tangent line to the graph…

A: Given : f(x)=2x    '   To Find : Equation of tangent   &amp; equation of normal at (1,2)

Q: At the beginning of an experiment, a scientist has 392 grams of radioactive goo. After 165 minutes,…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, es ["e-√y oy dy

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Q: (x²-5x²+17x³-15x+45)÷(x²-3) =

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Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: Use spherical coordinates to integrate f(x, y, z)= 4(x2+y2+z2 over the solid E above the cone z=…

Q: 4. √e³x - e²x dx = 3 A. ² (ex - 1)² + C < B 3 B. (e³x - e²x) + C 2|32|3 C. 2/3 3ex - 1 √2 3 D. ²/7…

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 7…

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Q: Complete the steps below to show that the limit exists by rationalizing with conjugates. √x-10 100 x…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Suppose the amount of a drug left in the body t hours after administration is mg. Find the rate of…

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Q: Find the centroid of the region bounded by the given curves. y = 6 sin(3x), y = 6 cos(3x), TU 12 x =…

A: Here the functions are The area is given by

Q: Find the volume cut from the sphere p = 4 by the cone p = 1.

A: here  ρ=4   so  0≤ρ≤4 and 0≤θ≤2π 0≤ϕ≤π4   Now Volume , V=∫02π∫0π4∫04ρ2sinϕ dρ dϕ dθ…

Q: Write the equation of the circle centered at (3, −5) with diameter 12.

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Q: Let f(t) be the number of centimeters of rainfall that has fallen since midnight, where t is the…

A: We can solve it as follows

Q: Graph the set of points whose polar coordinates satisfy the equation 0 = 6 K Choose the graph that…

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: 7. If f(3) = 15, f' is continuous, and f f'(x) dx = 27, what is the value of f(8)?

A: We have given a continous function f' f3=15 ∫38f'x=27 As,  ∫f'x dx=fx ∫38f'x=fx38=f8-f3 So,…

Q: Each function below describes how something changes. Use the description to determine which…

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