Evaluate the following using a trigonometric substitution. Draw and label a reference right triangle. Put your answer in terms of the original variable x. Ledo dx 2²V1-x² :): o cuseda L de %3D %3D VI-X

Q: aw a simple graphical repres the magnitude of the resultant vector, angle and direction. A = 37 in, ...

A: Solution is here

Q: COs n Find the limit lim n 00 2" If it diverges, enter DNE.

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Q: A. Determine if the following functions are continuous at x = c. (k) f(x): 22 – 4 ;c= 2 x - 2 (1) f(...

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts if there are multip...

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: The demand function p = D(.) = -0.3x + 33 and the total cost function C6) = 1.277 + 9.2x + 65 for a ...

A: We need to find all x where production is profitable.

Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to t...

A: Given : To compare the graph of y=3 sin x and y=3 sin (x+1)-2 and to identify where it has been shif...

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: variance of the data 2,4,5,6,8,17 is 23.33 ,(2 :then variance of 4,8,10,12,16,34 will be

A: Result: If the variance of a data set a1,a2,...,an is σ12 then the variance of data set ka1,ka2,...,...

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

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Q: 16. 15. sin x cos (x/2) dx 18

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Q: QUESTION 1 a) Find the interval(s) on which the curve f(x)= x°(x- 3) is increasing and/or decreasing...

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Q: 2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: S(x5 + 10)®x*dx 4 X.

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Q: differentiate the following function: 1. f(x)=3-2x+4x^2 2.  3.

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: a set of n values x1, x2.. X n has (3 standard deviation 6, the standard deviation :of n values x1 +...

A: This question is related to statistics.

Q: A. Find the standard (slope-intercept form) equation of the tangent line to the following: f (x) = x...

A: "Since you have asked multiple question, we will solve the first question for you.If you want any sp...

Q: OBTAIN A FAMILY OF SOLUTION 1. (5 v- U) du + (3V -7U) dv=0 2. (x - yny + ylnx) dx + x CIn y - In x)d...

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

Q: Find each value of e in degrees (0° < e < 90°) and radians (0 < e < 7/2) without using a calculator....

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (±...

A: We will find the equation of the hyperbola when vertices and asymptotes are given.Below find the det...

Q: 16. Choose the best answer. Find sin uusing half angle identities. u= 90 D0.7071 -0.7120 O-0.9801 O ...

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Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3, an...

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Q: 3V€ dt

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

Q: Solve for the constants of the integration and the general form of the equation.  Find f(x) if f′′′...

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Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

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Q: -21 Evaluate the integral: rV + 81 (A) Which trig substitution is correct for this integral? Or = 9 ...

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Q: Express the function below in rectangular form, (-1+i)-1+i

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Q: B. The graph of f(x) is given by (-14) (1,4) (-1,-2) (5,-2) (3, -4) (4, 5) Determine is f is continu...

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Q: cot *dx e2x +1

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Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: Suppose R is the region bounded above  by the graph of f(x)=8x−x^2 and below by the graph of g(x)=x ...

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations

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Q: QUESTION 1 a) Find the interval(s) on which the curve f(x) = x°(x – 3) is increasing and/or decreasi...

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Q: Find the horizontal asymptote(s) of the function p(z) f (x) Va(z) where p (x) = 3x? – æ – 2 and q (x...

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Q: x+3 4. S dx (x²+6x)²

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Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

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Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following func...

A: according to our guidelines we are supposed to answer only the first question if you want any partic...

Q: 10. Let f(x, y) = x² + y³. Calculate the directional derivative of f in the direction of = (4, 3) at...

A: The given function is: f(x,y)=x2+y3Direction vector is:  v→=4, 3Given point:  P=(1, 2)

Q: xy dA, where D = {(x,y) | sin x <y < 1/2,0<

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Q: D 45.5° 11. Choose the best answer. Use double-angle identities, 2u = 48 to find sin 2u. O 0.7431 O ...

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Q: A spherical balloon with radius r inches has volume V(r)= (4πr^3)/3. Find a function that represents...

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: -3 is The quadrant of cos 5 O Quadrant I O Quadrant II O Quadrant IV O Quadrant II

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Q: Find the interval

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