a) The function m-x+e*,x=0 f(x)=- 2n, x>0 is x' -16x x<0 x - 4x continuous for all real values of x. Determine the values of m and n.

Q: 3. Use Squeeze Theorem to evaluate lim 1-0+ sin(In r) In(sin æ)"

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Q: O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, f(t) dt = f(x) dx O Assume f(x...

A: solution ) option first  d/dx∫xaf(t) =f(x) d/dx ∫axf(t) =-f(x) not a fundamental property fundamenta...

Q: 3x -dx be given. If 4=e*+2. then the resulting integral is f(u) du.compute f (3). e* +2 Let 2 (A 3 B...

A: We have to find value of f(3)

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Q: Let f(x) = 11x^2 (x - 4) + 1. Find the critical points c that correspond to local minima. (Use symbo...

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Q: dx The integral where u= f(x) and for some constant, k. Compute (2). reduces to ex + 1 e2 +1 A e? e ...

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Q: B. For the function g(x) = 2 | x-4 | 8 7 6 5 3 2 1 5 6. 7 8 X 8 2 |x-4| dx (X)4

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Q: Question 2: Differentiate the functions by using product or quotient rule. a) f(x) = (1 – 3x²) · e* ...

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Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) - , evaluate the new int...

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Q: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series...

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: The function f(x) = Vx – 2 + V4 – x is increasing on (-∞, 3) and decreasing on (3, co) increasing on...

A: graph of the function is - 

Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: Is the series convergent or divergent? Prove in no more than two sentences. +oo 1 n=1

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Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

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Q: Check which one of the following functions is a solution to the differential equation y" -y= sin x. ...

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Q: nt) Detemine coefficients a and b such that p(x) x + ax +b satisfies p(1) = 0 and p(1) = -4. %3D %3D...

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Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r...

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x -please answer sub part c,d,and e...

A: According to question,Given Function,fx= x23 -12

Q: The sequence

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Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the...

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first quest...

Q: Find the relative extreme points of the function, if they exist Then sketch a graph of the function....

A: Given that fx=-3-x23Solution :if f'x  +ve to -ve then maxima occurs .if f'x  -ve to +ve then minima ...

Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does n...

A: The given limit,       limx→9ex2-e81x-9

Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

Q: Determine the point on the hyperbola -8 x2 + 3 y? = 10 closest to the point (4, 0). 15 10 5 -5 -10 -...

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Q: A company financed the purchase of a machine with a loan at 2.75% compounded quarterly. This loan wo...

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Q: Given the differential equation y" – 2xy' + 5y = 0. Determine the first three nonzero terms in each ...

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Q: Ariel obtained a business loan of $235,000 at 4.52% compounded semi-annually. a. What was the size o...

A: topic- compound interest

Q: Consider -dx. Using u-substitution and transformation of integrand, then the power formula applies; ...

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Q: Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < I 1 to obtain th...

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Q: 30 3 120 x f(x) = 2x-3 X + 1 n = 4 3 Pa(x) = 3 1+ x -x+x -3+ 5z- 522 +5-54 | Solution or Explanation...

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Q: Question 1: Differentiate the functions. 3 a) f(x) = 1– 5x +x7 b) f(x) = (x³ + 4)²

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

A: Given, w=f(x,y) x=rcosθ and y=rsinθ

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral g(u) du. If g(u) = , evalua...

A: We have to find value of f(x)

Q: sec' 20 tan 20 de

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Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of f at x...

A: solution is given below

Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: х — 2 1. f(x) (2? — х + 1)2

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Q: 15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances...

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Q: 2. In each of the following, find fyzz, fryz, fryz- 2. f(x, y, z) = In(xyz) + z² tan-'(e*")

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Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

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Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: 2. Find the derivative of f(x) 3. Calculate the derivative of f(x) 2a-4+-3

A: Topic:- derivatives

Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: Precalculus Solving Trig Fur Solve each equation

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given

Q: Part II. Application of the definite integral on plane areas. Situation: For the area bounded by the...

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Q: Enable Zoom/Pan to

A: Given query is to find thw interval where function is increasing and decreasing.