Homework: Ex dx 7.S √√x + ³√x

Q: Evaluate the definite integral by the limit definition. [²₁x² + (x² + 5) dx Submit Answer

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: G 3 X lo dx si

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Q: Differentiate the fol y = (sin x)(lnx) a)

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Firstly we have to solve for average cost per unit as given in the question.  Then apply…

Q: 7. Simplify the radical expression √7 a) 26 b) √35 c) 14 d) 196

A: The given radical expression is 7×28 use the algebraic properties, am×bm=abm

Q: For an object in an elliptical orbit around the moon, the points in the orbit that are closest to…

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Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: 13. What is the maximum value of the parabola ? 5 0 5 a) y = 3 b) x = 4.9 -Cr- 5 c) y = -1 d) There…

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Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

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Q: If f(x) = 2x²-x+ 3, find the following. f(1) = = f(-1). f(a) = f(-a) = f(a + 1) = 2f(a) f(2a) =…

A: We have given function  fx=2x2-x+3 Put x=1 f1=212-1+3=2+2 f1=4 Put x=-1 f-1=2-12--1+3=2+1+3 f-1=6…

Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

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Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

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Q: С 20 3x-1 хр. -X (3+3 (2) j² dx a Лх lo XS хр sự X Сў-12.d:

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Q: On the Fahrenheit temperature scale, water freezes at 32º and boils at 212º. On the Celsius…

A: Degree and Fahrenheit

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given that f(x)= e3x (8-x) . We find intercept point and relative maxima and minima and point of…

Q: Write the complex number in polar form with argument between 0 and 2x. 1-/ Need Help? Read It

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Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: State the domain of the graphed function: -5 -5- 0 -5 -10- 5 10 15

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Q: Solve the differential equation (2x + y) dx (4x + 2y − 1) dy = 0 O a. 5x 10y + In 10x 5y 2|= C O b.…

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Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

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Q: Find a vertical line x = k that divides the area enclosed by x = square root of y , x = 2 , and y =…

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Q: Write the expression in power form ax for numbers a and b. 3 8 8x²

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Q: Use summation properties and formulas to rewrite and evaluate the sum. [(31)²-41] i=1 Next Submit…

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Q: Find a function y(x) such that 6yy' = x and y(6) = 3. y =

A: The objective of the question is solving the differential equation.

Q: QUESTION 4 Given the following function, find the values of f (5,2). x f(x,y) = 5 + xln(xy-9) O A.…

A: We can answer the question as below.

Q: 5) Evaluate the ff (3x - 2y)DA. R is the region enclosed by the circle x² + y² = 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 59 Find the reference angle for the angle 12π Since the given angle is greater than 27 = 6 we find a…

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Q: In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the…

A: Here, the vertex is located at the lowest point of the cable. Let us take the horizontal line…

Q: If f(x) = 2x²-x+ 3, find the following. f(1) = f(-1) = f(a) = f(-a) = f(a + 1) = 2f(a) = f(2a) -…

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Q: 41) 42) B 5 C Find sec 0. 8 9 A

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Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

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Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (5 cos t,…

A: Given, r(t)=5 cos t, -3t, 5sin t

Q: Find dy dx Please, expert, I do not have much money. Solve as many questions as possible, please…

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Q: Find F as a function of x and evaluate it at x = 0, x = 7/3, and x = 7T/2. F(x) = F(x) = F(0) = (7)…

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Q: Evaluate the integral using the following values. [x³ dx = 260, x 29 - ·[³x dx = 10, [³dx = 2 (29 -…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We need to find maxima and minima.

Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: Question 5 (i) Use the diagram below to find sin(0), cos(0) and tan(0). (ii) If sin (500) -1…

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Q: 2. Simplify the radical expression: 7 2 -1 156x y z -5 -1 2 √39x y Z

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Q: I need a step-by-step solution, please 2 bn=² ST T S™ sin x sin nx dx

A: To find out the integration given.

Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

A: Please note that as mentioned only the last question is solved.

Q: Find y dx Please, expert, I do not have much money. Solve please 4.y=log10 (x4 + 3x² + 1) 5.y = log5…

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Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: 1 1 X

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