A physical education teacher found that 62% of the students exceeded the minimum standards. Which represents the part of the students who exceeded the standards? A 0.0625 C 62.5 7 9. 625 1000

Q: Solve using trigo substitution

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Q: Create a table of values for the function 9 lim 3 -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) Use the…

A: Given problem:-

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: Lety = 4x² – 4x+3 (a) Find the equation of the tangent line to the graph of the function atX=2; (b)…

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Q: Sketch the figure or analysis. Shade the needed region and draw representative vertical or…

A: Follow the procedure given below.

Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

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Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

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Q: What is the equation of the line that contains the vertices of the hyperbola (z+ 4)2 (y+2)² = -1? 16…

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Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

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Q: Evaluate the integral. 1 (4 + r)3 dr

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Q: A firm estimates that it will sell N advertising, where dollars. Use the derivative to find the…

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Q: 9. Find the volume of the parallelepiped defined by the vectors. [8, – 3,4] [- 2,9, 1] w = [0, – 4,…

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Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

Q: eMx cos nx dx

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Q: 4. The temperature, T, in C, of a side of beef t hours after it is put in the freezer is given by…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

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Q: Let u = cos(r + y), x = 2st +t and y = t – 2s. Use the chain rule theorem to compute du for du and…

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Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

Q: integral od pi/4 0 sin^5 θ dθ

A: A detailed solution is given below

Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

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Q: 5. Evaluate the expression without using a calculator. Show all steps. (a) sin (4) (b) cot(-210°)…

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Q: 10 16 what is 7 | f(s)ds? Given that f(x)dx = - 10 answer =

A: Follow next step

Q: 8. S 3tan 3z r sec? 32 da

A: As per the guidelines I can solve only first question

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…

Q: Evaluate the integral (Partial Fraction Decomposition) x +1 dx J (x² + 2)(x² + 1)²

A: First of all let…

Q: A producer has determined that the revenue generated from the production and sale of x units of a…

A: what interval(s) of production is the revenue increasing and for what interval(s) is it decreasing?

Q: BASIC CALCULUS 1. The line segment from (1,–1,3) to (0, –3,1) forms a diameter of the sphere S1.…

A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

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Q: dy dy if x cos 'y= x+y. Hence find the value of dx if x = 0. dx 4. Find

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Q: Find the radius of convergence, R, of the series. 00 (x - 9)" "ח n= 1 R = Find the interval, I, of…

A: Use power series concept

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Draw the region and use the washer method of finding the volume of revolution of solids.

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: 4. Find the integral of your answer in problems 2a and 2b. CO

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Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: 11. Rules of Definite Integrals: I f(x)dx = 6, and "f(x)dx = 4 , find the following: a) c)

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

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Q: - How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

A: Combination

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (±1, 0),…

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Q: emx cos nx dx

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Q: dx sin x

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Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: Evaluate the integral sin3 x + cos? x + 1 dx J sin² x (cos² x + 1)

A: