Find the constant a such that the function is continuous on the entire real line.. x² a2 a = g(x) = - x-a 12 if x # a if x = a

Q: Given 2sin(x)= − 1, on the interval 10, 2], what is the value of x? 7개 11개 이뽕 {픔. ㅠ (픔·품] 6 6 7개 5개…

A: Solving the problem

Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

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Q: 19.) Find the indicated of 0. exact value of the trigonometric function CSC =-9/8, is in quad III 7…

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Q: 10. lim 1-0 e³1 - 1 t

A: We have to find the limit: limt→0e3t-1t

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Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

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Q: Solve the formula for k 7k + ka a = f

A: Use multiplication rules

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A: We have statements: a) If the second derivative = 0 at x = a, then you will have an inflection point…

Q: Copy of Investigation - H... E Classes

A: Common Functions Function Derivative Constant c 0 Line x 1   ax a Square x2 2x Square Root…

Q: Select the basic integration formula you can use to find the indefinite integral. S (8cos(12x))…

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Q: Consider the function: f(x,y)=3xye 8x²-8xy + y²

A: We know that, a function f(x,y) has stationary points at that points where, the partial derivatives…

Q: 24. f² (2x − x³) dx

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Q: Find an equation of the plane passing through the three points given P = (4, 2,9), Q = (6,7, 18), R…

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Q: Consider the graph of the function f given below. f(x) I -2 4 B) If h(x) 2 0 -2 2 x 4 A) If g(x) =…

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Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

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Q: Find the general solution of the given differential equation. dy dx +y=e4x y(x) = Give the largest…

A: We have,    dy/dx + y = e4x

Q: x² √x² - 9 s dx

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: Problem 11 Express the function f defined below using step functions and find its Laplace trans-…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 2) and…

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Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

A: The differential equation y'=f(x,y) represents the slope field of the curve y=g(x,y). at any point…

Q: Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

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Q: The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: Given : MonthTemperature153257365473580686788887982107211631255To find : The table shows the high…

Q: Find an equation of the plane passing through the three points given P = (4, 2, 9), Q = (6, 7, 18),…

A: We have given three points as P = (4,2,9) Q = (6,7,18) R = (11,8,12)

Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

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Q: Factor -3x²+36xy – 60y² : = (x+ Hint: If the leading term is negative the gcf is negative. y) (x+ y)

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Q: PROVE OR DISPROVE THE FOLLOWING 3 1²/2 8 d dx x + 8 sinxcosx + cos³xsinx) = cos x

A: We need to verify the given expression.

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: Subject :- Finance    Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

Q: Find the equation of the curve whose third derivative at any point P(x, y) is equal to 2 and has at…

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: Given: (x-2)29+(y-4)216=1What is the center? (0,0) (2,0) (0,4) (2,4)

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Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…

Q: 4. Evaluate the integral: 1 (x³ + 1)³6x² dx S= Type U U'

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Q: (a) By using substitution method, evaluate (x²³ − 1)² dx.

A: The integral isTo determine: The solution of the integral.

Q: n f(x) = 7sin x-3?

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Q: Select the basic integration formula you can use to find the indefinite integral. of un du • / du of…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

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Q: 3. Determine the equation of the tangent line to the curve: y = 1 3x 2 when x = -1.

A: The curve is y=13x2

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 2 F5V/² W

A: let f(w)=5w25

Q: Find the volume of the solid obtained by rotating the region bounded by y = 5x³ and X= about the…

A: We need to find volume of solid region.

Q: Consider the following limit. lim Ax+0+ 8 x + Ax Ax 8 X Simplify the rational expression as much as…

A: This question is related to right hand side limit

Q: 6. Prove that x² dx b³ - a³ 3 3

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Q: Use the fact that tan x-x+²+25+12+ for (x) < to find the first four terms of the series for In(cos…

A: The series expansion of tanx⇒tanx=x+x33+2x515+17x7315+.....

Q: Prove Or disprove the the following: d dx a (xarctan - in (a² + x²)) = arctant a

A: ddxxarctanxa-a2lna2+x2=arctanxa

Q: Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the…

A: We have to evaluate the integral : ∫136-x2 dx using the substitutionx=6sint, -π2≤t≤π2.

Q: What is the area between the curves y = -²³ and O 10 -24

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Q: 7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy —…

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