1 9 – x2 (A In(v9 – a?) + C - B 응sin-1(품) + C (C 3sin-1(x 3 + C D) sin-그(프) + C 3

Q: Evaluate 5x² cos 2x dx.

A: Given query is to find value of the integral.

Q: and x :8 and stra ight : 1 y Let R be an area enclosed by a curve. Find all intersection points in R...

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Q: method of undetermined coefficents when x-0, y=0, Y=0 V Solve using 3X (D4 4D +5)y z 13e +50x

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Q: For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Sh...

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Q: Determine if the function is even, odd, or neither. State its symmetry, if a (a) f(x) = x° + 2x (b) ...

A: Given: a)f(x)=x3+2xb)g(x)=2x4-4x2

Q: Find the area of the largest triangle that can be inscribed in a circle of a radius of 6 inches. а. ...

A: Triangle in a circle for maximum area  Ans   option C 

Q: Solve for the orthogonal traectories y2= 4x²(1- kx) %3D

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Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: S, x(x + 5)dx

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Q: Use the figure to determine the radian measure of angle 0. Then approximate the degree measure of 0....

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Q: iven Cost and Revenue functions C(q) = q° - 10q + 56q + 5000 and R(q) = - 3q + 2600q, what revenue i...

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Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: y(2x3 -x²y + y³)dx – x(2x³ + y³ )dy = 0 %3D

A: Given differential equation y(2x3-x2y+y3)dx-x(2x3+y3)dy=0

Q: ; lim f(x) ; lim f(x) = 1. f(x) 51 曾()- X-1 2. f(1) = 4 3 3. lim f(x) ; lim f(x) ; lim f(x) %3D %3D ...

A: Topic =Limits

Q: It is f(r,y, 2) = xyz Determine the expression for the options below: I. az af az = Y. af az 0. af T...

A: The function is given by fx, y, z = xyz To evaluate: The expression of ∂f∂z

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

Q: (-1)"n For positive integer n, let a, = 3" Determine whether the sequence {an} is convergent.

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Q: Find the derivative of the function y = 8t' – 8/t + y (t) =

A: Given that, The function is following, y = 8t7 - 8t + 5t We have to find the drivative of the given ...

Q: Differential equation y+sqrt(x^2+y^2) dx = xdy

A: Differential equation

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: (b) If f(x) = anx", specify the domain of f. %3D

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Q: edu/courses/49369/assignments/325601 ations).pdf 3. f(x) = 2x2 - 10x - 5 %3D

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Q: Solve the differential equation show complete and clear solution no shortcut for the

A: Solution of the problem as follows

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D х...

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Q: Factor the polynomial. (a) 6x – 7ry - 5y² (b) 9x² + 5x – 4

A: To factorize the given polynomials.

Q: Calculate the mass of butane needed to produce 62.8 g of carbon dioxide. Express your answer to thre...

A: Given:    62.8 g of carbon dioxide ( Co2 ) 

Q: Find the solution to the quadratic equation. (a) a - 4x + 1 = 0 (complete the square) (b) (3x – 1)2 ...

A: We complete the squares of given quadratic equations and solve for x  When take the square root on b...

Q: 家, for x 2 2 3-x, 3. Given the function h(x) = Corrs graph and find a. lim, h(x) b. lim h(x) C lim h...

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Q: 11 Find the arc length of y = e" on 0 < x < 2 No decimal entries. Find the exact value. L =

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Q: Step 2 14e-x2 and above the x-axis between x = 0 and x = 1 around the y-axis is Now we can say that ...

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Q: solve using variation of parameters or reduction of order (D^2 +1)y = tanx

A: Let's find. 

Q: Solve log æ = 1 – log(æ – 3). If there is more than one solution, write the numbers in ascending ord...

A: Given that, The equation is following, log(x) = 1 - log(x - 3) we have to find the solution of this ...

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

A: Given z=f(x,y) To state the chain rule

Q: 18. If x? – xy + y? = 3 find y" (second derivative) %3D 18 12 12 18 В. (x – 2y) C. (x – 2y)² A. D. (...

A: Given:- x2 -xy +y2=3 To find:- y'' 

Q: (3y²-x 0 ;when x = 1, y = 1 2y4

A: This is homogeneous Differential equation 

Q: DIFFERENTIAL EQUATIONS Solve the following problems showing every detail of your solution.

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Q: eliminate arbitrary constant, x=k+ct

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Q: diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metr...

A: As per our guidelines, we are supposed to answer only one question at a time.   Given data are: Diam...

Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: Find the root of the equation x2 - 4 Inx use x, =1.000 Solve by simple iterative method.?

A: We have to find root of given equation.

Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

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Q: A particle moves according to a law of motion s = f(t),t20, where t is measured in seconds and s in ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: Show that the limit x?ycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: 8. Suppose that a family wants to fence in an arca of their yard for a vegetable garden to keep out ...

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Q: orth0gonal trajectories y^2=4x^2(1-kx)

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Q: Consider the following. 2(x - 9)2 + (y - 6)2+ (z - 4)² = 10, (10, 8, 6) (a) Find an equation of the ...

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Q: sec? x 2. csc2 x = sec2 x-1

A: