Unit Find the vector = (-3,₁27, in the direction opposite to V

Q: Question Use the trapezoidal rule to calculate the absolute error of ¹(5x³ + 5x) dx using 3…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine which one of the following rules for continuity is violated at = 2.

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Q: Find the derivative of the function. y=(4t-1)(5t-2)-1

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Q: Find an equation of the tangent line to the curve at the given point. y =   1 + sin(x) cos(x),…

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Q: Consider the rational function -4x-4 x² 6x - 7 g(x)= Factor the numerator to get Factor the…

A: Given gx=-4x-4x2-6x-7

Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We know Area of square =side2Perimeter of square=4side Let side of square = x mLet Area of square =…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. √6x² + 2x +7 dx 3 X…

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Q: An unknown radioactive element decays into non-radioactive substances. In 480 days the radioactivity…

A: The decay formula: Nt=N0e-λtwhere Nt=Amount of substance left after 't' days            N0=Intial…

Q: Suppose that the following equation defines y as a differentiable function of x: y = arctan(x²y).…

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the derivative rule…

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: 3π Find the area of the sector of a circle with diameter 36 feet and an angle of radians. 5 Round…

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Q: The population of a country was 204 million in 1987 and the continuous exponential growth rate was…

A: The Solution is given below-

Q: y² Consider the paraboloid f(x,y)=4- and the point P(6,0) on the level curve f(x,y) = 0. Compute the…

A: I am attaching image so that you understand each and every step.

Q: The boxplot below shows salaries for Actuaries and CPAs. CPA HC Actuary 30 40 70 80 90 100 110 Q 50…

A: First we will plot the minimum, first quartile, median, third quartile, and maximum as shown below

Q: A particle moves according to a law of motion s= f(t), t≥ 0, where t is measured in seconds and s in…

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Q: (4) Explain why fx ln x dx is improper. Evaluate it using the limit of a proper integral.

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Q: What do you notice about the two calculations below? What is the same about them? an you explain why…

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Q: Evaluate the following limit. If needed, enter oo for ∞ and -00 for - ∞. lim *→∞ 7x³ 6x² - 9x 25x -…

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Q: x² + 1 x³ + 2 has Select an answer ✪

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 18 feet long,…

A: Perpendicular length= 7 feet  Hypotenuse= 18 feet

Q: $7000 is deposited in an account earning 8% interest compounded continuously. Use the continuous…

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Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

Q: Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

A: Given data:- fx, y = 2xy4-x2y

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x2; R(x) = x³ + 11x…

A: We can answer all the three questions in the below steps by finding the marginal cost, marginal…

Q: Given f (x) = e sinx, for what values of a does the graph of f have a horizontal tangent line?

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Q: The curve y = ax + bx+c passes through the point (1,5) and is tangent to the line y = 2x at the…

A: Given query is to find the value of a , b and c.

Q: Domain and Range The function f(x) is defined as a set or ordered pairs. Using that set of data,…

A: Values of x is the domain and values of f(x) is the range.

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: Given  The limit as x approaches -6 of f(x) is equal to 8

Q: A particle moves according to a law of motion s= f(t), tz 0, where t is measured in seconds and s in…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Below a student uses the Substitution Rule for a definite integral incorrectly. -4½/2 √x√1-x²dx 71-7…

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Q: Assuming the original 10 organisms grew exponentially, doubling in size with every unit of time,…

A: Given that original 10 organisms grew exponentially, doubling in size with every unit of time,…

Q: Sketch the situation if necessary and use related rates to solve. A 6 ft tall person walks away from…

A: We have to find part 1, 2 and 3.

Q: 11. Refer to the figure and find the volume generated by rotating the given region abou specified…

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Q: #6) Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: Given a) cschln2 b) cothln7

Q: Use substitute method to solve the two system ec -= x - 4y (1) dx #1: dt dy -= x+y (2) dt

A: As per our guideline we supposed to answer only first question  Given system dxdt=x-4y…

Q: Find the maximum rate of change of f(x,y) = ye¯x + xe¯ at the point (x, y) = (0,0) and the direction…

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Q: Consider the integral 1,33 x² If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Let y = = Ay ~ 2x² + 4x + 3. If Ax = 0.3 at x = 5, use linear approximation to estimate Ay

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) = 6x +9y 2x - 4y

A: The function is given by fx, y = 6x+9y2x-4y To determine: The expressions of the partial derivatives…

Q: The Rational Function f(x) = = a. Write the Equation for the Horizontal Asymptote: b. Draw the…

A: Topic = Function

Q: Question 7 Find the values of a and b if f(x) = bx³ - 1, if 3x + a, if O a 3 and b = 1 O a = -3 and…

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Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: The dye dilution method is used to measure cardiac output with 4 mg of dye. The dye concentrations,…

A: Given ct=29te-0.6t, 0≤t≤10 Quantity of dye is 4 mg

Q: Find the critical points of the function f(x,y) = x² + y² − 4xy + 2.

A: Given, f(x,y)=x4+y4-4xy+2

Q: ************** A cylindrical package to be sent by a postal service can have a maximum combined…

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Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25 T…

A: Given,

Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

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Q: Compute the indicated derivative using the chain rule. y = u³, u = x - 2; dy dx = E dy dx

A: Given: y=u3, u=x-2.We need to find dydx.

Q: Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3…

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Q: Evaluate the following definite integral: 1 1-√t √t dt

A: To evaluate the given definite integral.