1 Find the two points on the curve y=- at which the tangents have as slope of -.

Q: I. Evaluate the following limits by constructing the table of values. 5. lim tanr 1. lim 3" 2. lim 5...

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Q: After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value...

A: We will calculate the time, then we will calculate depreciation value.

Q: II. Given the graph below, evaluate the following limits: lim b* 1.2 lim b -1 1. lim b 0 2. 3.

A: The definition of limits in layman words is when we look at a graph of a function, what value does t...

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 5 + n 4n...

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Q: 5- -5 5 -5- Determine the values of a, b, c, and d so the function (x – a) (x + 1) (x + b) - f (x) =...

A: Let's find. 

Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how man...

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole...

A: The rate of change of the water depth is:-

Q: Find for the following functions: dx 2x2 + 3x y) + (x-y)-x +y

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please uploa...

Q: Select ALL possible answers. Which of the following statement/s is/are true of the function whose gr...

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Q: 4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) is zero. 5. If f'(0) = 0...

A: A detailed solution is given below  

Q: M, - N If Q, where Q is a function of x only, then the differential %3D equation M+ Ny = 0 has an in...

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Q: Suppose a represents some number of radians where and cos(a) = 0.83 and sin(a) = 0.56. 2 0 < a < - D...

A: Given

Q: Find the function y = y(x) (for æ > 0) which satisfies the separable differential equation %3D dy da...

A: Given : dydx=3+17xxy2   , y(1)=6

Q: Suppose f (z, y) = , P= (-4,-3) and v =-2i + 4j %3D %3D A. Find the gradient of f. Vf = i+ j Note: Y...

A: As per our guidelines we can answer only 3 subparts of a question, kindly repost the remaining quest...

Q: The area, in square inches, of a certain right triangle is given by the equation A b(2b), where b is...

A: Given,          The area, in squares inches, of a certain right triangle is given by the equation A=...

Q: Data set A T HIH Data set B Data set C H Data set D H++H 7. HH+ +++ 13 1. 3. 6. The box plots shown ...

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Q: (x – 3)" Σ For what value of x does the series converge? n=0

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Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

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Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x2y2 O 34 O -28 40 O-32

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Q: y = 4+t – y, y(0) = 1 approximate values of the solution of the at t = 0.1, 0.2,0.3 and 0.4 using th...

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Q: VJG mG following graphof FCX) ro a GörloG thc ber Of t(X) dtare whore ficX) T8 POSIAVG, negarvc, 2o ...

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Q: Where did the value of _1 come from, explain the solution step by step and in a clear line, please x...

A: Formula: If bases are same then their Division: powers should be  substratcted am/an = am-n

Q: Question Select multiple answers and then press Answer. If f and g are both polynomial functions, wh...

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Q: which expression would be easier to simplify if you used the comunative property to change the order...

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Q: 10. After starting with 197 miaTograms, the mass of bacteria decreases by 22% every 2 hours. 2-hour ...

A: The initial population is                                                = P0The population at time ...

Q: (a) 2(x- 3) + 11 = 6- x x-4 (b) 3+x 三 3 (c) x2 - 7x + 6 = 0

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Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1...

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Q: According to th an average of 1. Saturdays, whic of time the stuc the Internet on A) Between 3. B) B...

A: The best fit line gives the best estimated expected value of the variable observed from data trends....

Q: Consider the following function. g(x) = 220 + 8x3 + x4 (a) Find the intervals of increase and decrea...

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Q: 00 (x – 5)" For what value of x does the series converge? n n=0 (4,6)

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Q: stion 2 Set up (Do not solvel) the volume of the solid whose base is bounded by the cirde x+y4 with ...

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Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

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Q: The bus took 7 hours 26 min to travel from Bloemfontein to Grahamstown. Talculate the average speed ...

A: Distance = 597km  time = 7 hour 26 min                                                =  7.433hour

Q: sin x cos“x tan® x dy Given that y = find using dx logarithmic differentiation. dy dx ||

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Q: QUESTION 1 Find Zx if z = In-

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Q: Determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY...

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Q: FOr the Pollowing graen of F (X) Fill in mG fablo OGLOW: 8. (1,0) f(X) f'(X) F"CX) Concaviny

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Q: Evaluate the function for the indicated values. f(x) = 6|||| + 3 (a) f(0) (b) f(-2.8) (c) f(4) (d) F...

A: f(x)=6x+3a) For x=0f(0)=60+3f(0)=6(0)+3f(0)=3b) For x=-2.8f(-2.8)=6-2.8+3f(-2.8)=6[2.8]+3f(-2.8)=6(2...

Q: f(-4) = -7, f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

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Q: Find the acute angle between the given curves. 1.1) x^2 + y^2 = 5 and  4x^2 + 4y^2 + 5y = 0 1.2) 2...

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Q: Find all the values of x such that the given series would converge. (6x)" n10 n=1 The series is conv...

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Q: Find the sum of the convergent series. 6 0.6 + 0.06 + 0.006 +. ..

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Q: Evaluate: using inner limits 0 to y and outer limits 1 to 2. а. 0.82 O b.0.375 с. 0.71 O d. 3.75

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Q: (constant) acceleration of gravny, the body's initial position. Derive this equation by solving the ...

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

Q: Using double integration, find the volume of the solid bounded below by the plane z 0and above by th...

A: z= 25-x2-y2z≥0at z=0x2+y2=250≤z≤25-x2-y20≤z≤25-r20≤x2+y2≤250≤r2≤25  → 0≤r≤50≤θ≤2π