The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8 0.1 Write a function formula for f.

Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum ...

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Q: 25. Find an equation of the plane through the line of intersection of the planes x – z = 1 and y + 2...

A: Equation of a plane P that passes through the line of intersection of two planes P1 and P2 is given ...

Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³ ...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: dy Find dx if y = cos e*

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Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: x- 9 lim x-9 x²- 81 2.

A: Topic   = Limits

Q: Use  f(x) = 3x − 5 and g(x) = 4 − x2 to evaluate the expression. (a)    f(f(2))   (b)    g(g(3))

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Q: If f(x) = x² +- k find k so that f has a critical number at x = = 3. а. 6 b. 27 с. 216 d. 54

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Q: An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a positi...

A: Basic application of derivative problem

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: lim x 1. x- 3.

A: Follow the procedure given below.

Q: dx Evaluate

A: ∫0919+x2dx

Q: Q No 3.Evaluate (a) S - (1-cosx}idx (cosz(1+cosx)(2+cosz)jå (b) S **(cos"i 3=)*dx Vi-92

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Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: ſe^(3-z) sin(2+z) dz *

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Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 2. 7i 1 + ...

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Q: cot 2x 2. lim TC csc3x+tan x 4

A: To evaluate: limx→π4cot 2xcsc3x+tan x

Q: 3. S (x + ) dx

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Use the difference an+1 – an to show that the sequence {n – 11"}t n=1 is strictly increasing or stri...

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Q: Determine the value/s of D if the graph of the equation 4x 2 + y 2- 4x + Dy = 1. an ellipse; 2. an e...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

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Q: L 1.2.5 Quiz: The Converse of the Pythagorean Theorem Question 3 of 5 Select the procedure that can ...

A: Let's find. 

Q: P15

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Q: Which of the following functionis islare homogeneous? You could choose more than ane from the choice...

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Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: 2. (1 + 2x – 4x²) dx

A: Given : (2) ∫55 1+2x-4x2dx

Q: Evaluate the integral / 87 dr. Answer:

A: see below the answer and  calculation

Q: representing all lines passing thru (-1,1)

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Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) z2 + 15y2 Question Help: Me...

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

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Q: Compute the partial sums S3, S4, and S5 for the series and then find its sum. 1 n + 3 1 n + 2 n=1 (U...

A: The given series is  ∑n=1∞ 1n+2-1n+3

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5 ;Y...

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Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

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Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: B. Determine if lim f(x) = f (c) 24C 1. 18)-x+2; c =-1

A: f(x) = x+2 c = -1 f(c) = f(-1) = -1 + 2 f(c) = f(-1) = 1  

Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

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Q: A function is given. U(x) = XV7× – x² (a) Find the local maximum value of the function and the value...

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Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

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Q: 4. Set up the integral for finding the volume of the solid obtained by rotating the shaded region ab...

A: Given:    x = y2 - 4y     x = 2y - y2     Rotated over y = -2

Q: Use  f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)   (b)    (g ∘ ...

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Q: Calculate the absolute and relative errors in the expression: a 2b – 2cb +, if the measurement of a ...

A: The given expression is: 2b-2cb+ab

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

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Q: sin xdx 5t car? x

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Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

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Q: Gve the doman of the function as represented by its graph. 4+ 3 2- 3 2 i 3

A: Domain of function is the set of the values of inputs.  Here In this case of graph, the set of input...

Q: Find DE using variable separable cos/dx + 1/ydy=0

A: Given that: cosxdx+1ydy=0

Q: Solve the problem and show illustration. 1. Find the maximum area of an isosceles triangle whose per...

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