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Q: 19 Four different roads from Town A to Town B, and three different roads run from Town B to Town C.…

A: We will Break this question into two parts.

Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

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Q: Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

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Q: 1- sin r 6. Find lim 1/2 CSC x Csc x

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Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

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Q: 4 x xp = Vx+9

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Q: Let i denote the square root of – 1. For the two complex numbers z = 3e and w = 6e'5 find z. w. Give…

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Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

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Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: Select the correct answer. 12 , 30 lim Sn? what is the value of noo If O A. 24 O B. 50 OC. 84 OD. 75

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Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

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Q: Use implicit differentiation to find dy/dx in x^2y^2 + y = x.

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Q: For the following function, find its inverse. f(x)= In(6x 2)

A: Given, f(x)=ln(6x-2)

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Q: Find the sum of the first 10 terms of the following series, to the nearest integer.  125,50,20,...

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Q: 3. Evaluate: lim -) x-0 (sinx

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

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Q: How did you arrive at 7200t + 12800t

A: Given ,  Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the…

Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: 3. V4- (x – 3)²dx.

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Q: Q: Solve the following D.Eqs. (Use undetermined coefficient method) 1) y" – 2y' + y = xe* 2) y(4) –…

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Q: n²+4 2(-1)n-1 2 n=1 n²+ 3

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2

A: The detailed solution is given below  Thank you

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: - Solve the differential equation y-2y'+y e" In x

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Q: dy Solve of y = log3 (2x + sin a). %3D da A. y' cos(x+2) 2x In 3+ln 3 sin(x) %3D cos(x) +2 2x (2 In…

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

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Q: 23 Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(5,5) tan0 =…

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Q: Given: cosg=-1, sin x =- 13 ,A is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: This question is based on Trigonometric equation.

Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving…

A: Let's find.

Q: (iii) Find a vector equation for the tangent line to the curve of intersection of the cylinder a² +…

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Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

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Q: Adriel just got hired for a new job and will make $65, 000 in his first year. Adriel was told that…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: Evaluate thne integrat -6 to -10. A. 21/2 B. 1/2 C. In 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Solve the differential equation below using series methods. y'' – 4xy' – y = 0, y(0) = 4, y'(0) = 2…

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Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the timme in which investment gets double.

Q: dy Siven the equation below, find dz 16z° + 2ay + y° = 19 24. dy de low, find the equation of the…

A: Given query is to find the derivative and the equation of the tangent.