dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+2y³ = -78, with the conditions = -6, x=2, y = -3. dt dt dy dt -0 (Type an exact answer in simplified form.)

Q: 1. For the quadratic function given below, find: f(x)=2x²-x+6

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Q: 10. Two beach balls have a diameter of 8 inches and 20 inches. Which of the following statements…

A: diameter 1ball=8inches 1ball=20inches we know that diameter=2*radius

Q: 5. Find the surface area of the figure. ************ 20m 5 20m

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Q: X dy dx + y =

A: The given DE is: xdydx+y=1y2 which can be written as: y2dydx+y3x=1x...(1) Comparing it with…

Q: #1) Determine f' and f", if (x)=x²- X4

A: In this question we have to find the differentiation. NOTE: As per our policy we can do only one…

Q: Q1:- Represent the cell in which the following reaction takes place Mg(s) + 2Ag+ (0.002M) → Mg+2…

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Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: If y = 2x² then dy dx 11

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Q: 34. Compute the surface area generated when the first quadrant portion of the curve x² - 4y + 8 = 0…

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Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 6 +…

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Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x;…

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Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: Question 10 Find the partial derivative of z with respect to x (8) f ах (22−y) = Əz C dz 2(x-y) 2²…

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Q: Let y = sinx, if y(n) = sin x then n =

A: This question can be solved using the concept of higher order derivatives.

Q: 49. SR 3xy dA; R is the region in the first quadrant bounded by y = 2 x, y = 0, and x = 4 − y². =

A: Given Region  is bounded by  curve y=2-x, y=0 , and x=4-y2  in first quadrant

Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

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Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: State the interval(s) over which the function f(x)=√x² + 10x + 25 is continuous. If there are…

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Q: Find the volume of the figure. Round to the arest tenth if necessary 12 in 13 in.

A: Given query is to find the volume of the figure.

Q: Answer the following questions 1. Using the graph in the given figure, find each limit or explain…

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Q: et #4.) a Given the function f(x)= x, solve the equation f'(x)=0 b> Discuss the significance of the…

A: We have to use a concept of derivatives

Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: 9) A store sells portable MP3 players for $100 each and, at this price, sells 120 MP3 players every…

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Q: 9. f²-2x(3x - 1) dx

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Q: 7. Integrate * m Note: fedu = e² + C Ox²ex-2xe* + 2e* + C O-tanx + C 4 O x² + 2xe* - 2e* + C O x² -…

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Q: 9. If the cones below are similar, what is the ratio of the surface area of the larger cone to the…

A: Given two similar cones with the given dimensions To find the ratio of the surface area of the…

Q: Evaluate the first derivative of the function below at (1, -2). 3x4y² - 7xy³ = 4 - 8y

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Q: 28. Find the surface area of the portion of the curve x² =4y from y =1 to y =2 when it is revolved…

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Q: 1 7. If {F(t)} = (-5)3, find F(-1). (s-5)³ A. es B. 4 2e5 8. Which of the ff. series is convergent?…

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Q: Which conic section is formed in the image shown? Circle O Parabola

A: Solution  Given that figure                 It is clear that

Q: Evaluate the first derivative of the function below at (1, -2). y X - - + + + 1/4 = 5 y x

A: Given: xy+yx=5   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power Law: ddxxn=nxn-1

Q: - e4 7. lim. x-2x² - 2x ex2

A: We have to find out limit

Q: What is the accumulated value of periodic deposits of $3,500 made into an investment fund at the…

A: Given problem:- What is the accumulated value of periodic deposits of $3,500 made into an investment…

Q: Kiara invested her savings into a Registered Retirement Savings Plan (RRSP) at an interest rate of…

A: This question can be solved using the concept of compound interest.

Q: Select the domain the function below f(x)=√x All real numbers O Non-negative real numbers O…

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Q: 2) Find all the second-order partial derivatives of the functions: -1 a. f(x, y) = tan-¹ b. h(x, y)…

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Q: A 10 lb weight is lifted vertically 3 ft. Calculate the work done.

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Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…

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Q: (2) lim (x,y)-(1,1) xy-y-2x+2 x-1

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Q: Repeated Linear Factors: Examples x³ -x +3 dx (2x+ + 40x³ +300x²+1000x+1250)

A: The integration of the integral is (x3-x+3)/(2x4+40x3+300x2+1000x+1250).

Q: 7. For the sinusoidal function given below, find: a) The period and the equation of the axis -120°…

A: a) Here, from the graph to find the period and the equation of the axis.

Q: 4. The top ten state populations, in millions, according to the 2010 Census, are shown in the table…

A: From the given table, we need to find Percentile  and Percentile Rank.

Q: Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b.…

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Q: 16. What is the area between y = 0, y = 3x², x = 0 and x = 2? B. 24

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

Q: 17. Determine the tangent to the curve 3y = x³ at (3,3) and calculate the area of the triangle…

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Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y