1) Evaluate the integral 2) Evaluate the integral S 5 sec² t de (tant — - 1 dx 8 x√√x² 2

Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: L True False y -2 then x 1 lim f(x) = 0 y = f(x) 3 X

A: We have to find Lim x approaches to 1 f(x)

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Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in…

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Q: 5s - 7 (s + 3) (s² + 2)

A: Since we are given with multiple numbers of questions and answer will be according to the guidelines

Q: Find the inverse Laplace transform L-¹{F(s)} of the function F(s) = L-¹{F(s)} = 2 s² +9s 10 NOTE:…

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Q: etermine the values of x, if any, at which the function is discontinuous. At each number where f is…

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Q: Solve the differential equation: : tan²(x). dy dx The curve passes through point (0, 0).

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Q: Let B be the solid whose base is the circle x² + y² = 16 and whose vertical cross sections…

A: given solid base is circle  x2+y2=16given  whose vertical cross section perpendicular to the x axis…

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A: Given that a differential equation and also goven that its solution we find that solution at given…

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A: In mathematics, the magnitude or size of a mathematical object is a property which determines…

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A: We need to find equation of tangent.

Q: Find the volume V of revolution about the x-axis for the region under the graph of f(x) = √√x4 + 1…

A: We need to find out the volume of revolution.

Q: Evaluate the integral. S 5x/2 1 + cos 2t 2 dt

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Q: Find all values of x such that (5, x, −7) and (2, x, x) are orthogonal. (Enter your answers as a…

A: The objective is to find the value of x.

Q: Give an example of an augmented matrix for an inconsistent underdetermined system of two equations…

A: A detailed solution is given below.

Q: Differentiate y = 5* sec (e*). A5' sec (e) [e'tan (e)-In 5] 5³ln 5 sec (e^³) [tan(e¹) +1] 5*¹sec…

A: y=5xsec(ex)d dx(ax)=axlnad dx(secx)=secxtanxdexdx=exd dx(a.b)=adbdx+bdadx

Q: 2-2 lim f(x) = f(2)= Is f continuous at 2? (YES/NO)

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Q: Find the unit rate. Del Monte Sweet Peas $1.42 for 14 oz. What is the cost for one ounce?

A: Here is the solution:

Q: f(t) 2t − 4 + 3√t √t

A: Given function:- ft=2t-4+3tt

Q: Consider the points P(6, 7) and Q(7,-8). (a) Determine vectors OP and OQ. Express the answer by…

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Q: Find (fogoh)(x). 8. f(x) = x+8 g(x)=x²-6 h(x)=√√√x +3

A: Given

Q: 4. f(x)=3-x² g(x) = x³ + 1

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Q: an of a that joins a vertex to the midpoint of the opposite side.) 22. Find an equation of a sphere…

A: The objective is to solve the above question.

Q: Consider points A(0, -1, 2) and B(2, 1, -2). What is the length of vector AB? oo √21 √24 √18 0 √3

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Q: Evaluate lim I-1 when f(x) = 3x² + 5x +3. Select all that apply 1. limit = 13 2. limit = 9 3. limit…

A: To find the limit of the function.

Q: Evaluate the following limit by simplifying the expression (first answer box) and then evaluating…

A: Given limit limx→5x - 5x - 5

Q: Determine whether f'(0) exists. 0= {** 0 f(x) = x sin (5) O f'(0) does exist. O f'(0) does not…

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Q: Find the absolute minimum and absolute maximum of the following function on the given interval.…

A: Given function:- fx=xx2-x+1

Q: By using integration by parts, one can prove the following reduction formula. [C nfc (In(x)) dx =…

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Q: 7, 8, 2, and 10 Set up, but do not evaluate, an integral representing the area of the region…

A: Topic = Area

Q: Consider the following function. F(x)=x4/5(x-91² Find the derivative of the function. F'(x)= Find…

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Q: Given that f(1) = −9 and ƒ'(1) = 5, find an equation for the tangent line to the graph of y = f(x)…

A: As we know Equation of tangent line at  pointx1,y1 with slope f'x⇒y-y1=f'xx-x1

Q: Find a nonzero vector parallel to the line of intersection of the two planes 3x + 5z = -4 and…

A: If n1 is the normal vector to the plane r and n2 is the normal vector to the plane s  ,then  the…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given f( x ) = x + x + 4       ,    [ 4 , ∞ )

Q: 7. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A: The given equation is;  f(x)=2ax2+bx+3 and point (-1,2).

Q: West Gorham High School is to be located at the population center of gravity of three communities:…

A: AreaPopulationNorth CoordinatePopulation×North CoordinateWest CoordinatePopulation×West…

Q: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet after t seconds is…

A: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet  after t seconds…

Q: Find the horizontal and vertical asymptotes of the curve. (Enter your answers as a comma-separated…

A: Given Equation:- y=6x2+x-1x2+x-56

Q: Sketch the level curve of the function V(x, y) = y² - x² for c = 1.

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Q: □ O 8. Which expression is equivalent to log m m²). log√mn 3 log m'n O O O log(mn) + log n log(mn)

A: The logarithmic expression is logm15+logn15-15logmn To determine: An equivalent expression of the…

Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

Q: For the function f(x) = −3x³ +81x + 15, find all intervals where the function is increasing: f is…

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Q: Evaluate the integral. 8y [[V³-BY) -2 dy

A: We need to evaluate integral.

Q: Use the hypothesis V= y² and u=X To Solve the differential. equation (2X² + ³²-7) x dx (3X³² +…

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Q: If P=32-Q, Finf (a) total revenue,(b) marginal revenue (c) marginal revenue at Q= 5,8,and10...…

A: We have to find the total and marginal revenue at given values.

Q: Find all values of r at which 4 1+ sin 2x f(x)= = fails to be continuous. 1. x = 2nn, all integers n…

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Q: The graph of y = J (x) 10+ 9 8 7 6 5 4 T 3 2 + 10-98-7-6-5-4-3-2-1-₁ -2 -3 --4 -5- -6- -7- -8 -9 10…

A: The answer is in step2.

Q: 25. y = √√√x, 1 3x, -x, 0≤x≤ 16

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

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