SIT lim t-0 CATA 3+t-√3-t t anot

Q: Evaluate 5 [C%² 0 5y 2e² dx dy

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Q: Use the Binomial Theorem to expand the binomial (3x + y)3 and express the result in simplified form.

A: Consider the given expression. 3x+y3

Q: Find the equation of the tangent line to the curve y = 8 sin æ at the point (7,4). The equation of…

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Q: Find Duf at P. f(x, y, z) = 3x²y³z³; P(1, -1, 2); 2 2 -k 3 u +

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ev eLny y O D.y O E.…

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Q: Use the Binomial Theorem to expand the binomial (c + 2)5 and express the result in simplified form.

A: Given, c+25

Q: In 2004, an art collector paid $59,886,000 for a particular painting. The same painting sold for…

A: To find out the exponential growth rate and also the exponential growth function.

Q: Which of the following is a non-homogeneous function? tan³y/x xLnx − xLny - xy + y² (y² + v²)3/2 43…

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Q: silver

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Q: Determine the set of points at which the function is continuous. 1 + x² + y² 5 x² - y² F(x, y) = = D…

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Q: Draw the unit circle and then shade in an arc of the circle's boundary with a shaded arc length of…

A: Length of arc, l = r * theta  Where, r = Radius of circle       theta = Angle subtended by arc at…

Q: 11 11 Given "f(x)dx = 34 and g(x)dx = -5, find the following: ₁₁ [4f(x)-3g(x)]dx 11 O -151 O 151 O…

A: We have, ∫-411fxdx = 34∫-411gxdx = -5 To evaluate: The value of ∫11-44fx-3gxdx.

Q: 1 † (OM - ON) - M . If OA es OB. U O D. e-5 ys ly = then what is the integrating factor?

A: Key points: Consider the differential equation M dx + N dy = 0. If this equation is not exact, then…

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, y=1x,  Point P-2, -12

Q: If f(x, y) = 64 - 8x² - y², find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes. fx(1,…

A: F(x,y)= 64 -8x^2 - y^2

Q: K The monthly profit from producing and selling x units of a product is given by the formula below.…

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Q: What is a suitable integrating factor that can be used to solve the equation dy x + 2y - 4xy - e-*…

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Q: 2. Consider the graph of a function. do not need to show any work for this problem. y 5+ 4+ a. 3 2 1…

A: from the graph  we find out removable discontinuity

Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.

Q: If f (x) = x2 - 3x, find f (0), f (5), f (3), and f (-7).

A: Given data:- The given function is, fx=x2-3x

Q: f(x) = ln(x), ro= 100, and 2₁ = 105.

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Q: ce / √5³² + 25 de -dx Integrate X3 + C

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Q: present

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Q: Determine the solution of the differential equation: dx + -1 dy y² y

A: The given differential equation is dydx=x2y2+xy-1

Q: Classify the given Differential Equation according to (1) ORDER; (2) DEGREE; (3) TYPE; (4) LINEARITY…

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Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

A: Find integrating factor of linear differential equation

Q: Which of the following is a non-homogeneous function? tan³y/x OxLnx-xLny O x³ − xy + y² (y² + v²)³/2…

A: homogenous function is f( tx,ty ) = t^n f(x,y) option a) f(x,y) = tan (3y/x) now,…

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. OB. O نا ey eLny O D.y O…

A: Given Data  y(x+y+1)dx + x(x+3y+2)dy =0

Q: Solve for the value of C in the equation: O A. -5 B. 5 O C.-4 O D. 4 O E. None of the Choices dx…

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Q: (d) Let y(x) = [tan-¹ (√)]4. Find y'.

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Q: Evaluate the following integrals: 2 5cos x - 3tan x COS X S- -dx

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Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x

A: We have to find integrating factor for given differential equation.

Q: cost function for Joanne's T-shirt production. hirts must she produce and sell in order to break…

A: we will find the required.

Q: Prove that:

A: Given, nr=nn-r

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: A simplified economy involves just three commodity categories-agriculture, manufacturing, and…

A: Solution: Given an input-output matrix  The production matrix is X and Demand matrix is D

Q: Ulus 1 Graphs > Name: Jardan Schiffer Date: 9/27 Teacher: Mrs. Coon ce a table. Write the domain,…

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Q: Question 29 If O O (OM dy O O j A. 5 - ly -5 ƏN ON) 1/2 = -5/201 əx y then what is the integrating…

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Q: 4. Let sin² x + cos² y = x² + y². Find y' by using implicit differentiation. ។

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Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx)dx + (xe³ + sinx…

A: See this solution in below.

Q: What is a suitable integrating factor that can be used to solve the equation dy +2y-4xy-e* cos(2x) =…

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Q: Find the limit, if it exists, or type N if it does not exist. 2x² lim (x,y) (0,0) 4x2 + 1y²

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Q: 4. Linear Equations a. (y - cos²x) dx + cosxdy =

A: Solution of a linear differential equation of the form y'+P(x)y=Q(x) isy×IF=∫Q(x)×IFdx+C, where…

Q: Uranium-238 (0-23 has a hall-me of 4. and determine that 67% of the original U-238 remains; the…

A: We will find the age of rock.

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

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Q: If 2 = (x + y)e*, x = 3t, y = 4-t², find dz/dt using the chain rule. Assume the variables are…

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Q: Find the angle in degrees, rounded to one decimal. 0 50 15 A

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Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x O D. E.…

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Q: 5. Let f(x) = 4x2x3 - 1. Explain, by using the Intermediate Value Theorem, why this function has (at…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x, y = 2√x…

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