Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x - 4y = 4. y =

Q: 2 L² L² Te Write your answer in exact form. Find xe+3dydx

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Q: same 3. Graph lines I and k line l: 2x + 4 = 0 line k; 2x + 5y = -15 (+ show at least 3…

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Q: F'(x) = f(x) = 4x5-35x² + 40x Compare the graphs of f and f' and use them to explain why your answer…

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Q: Compute the curl and divergence of the vector field F(x, y, z) = (1, 2², 2yz). 1+x² Is F…

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Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

Q: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

A: To prove

Q: For the demand function q = D(p)=√√450- p, find the following. a) The elasticity b) The elasticity…

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Q: Find a particular solution to Yp y" - 2y + y = 8.5et t² + 1

A: y"-2y'+y=

Q: f(x)=x54x

A: Given that functionWe have to find the derivative of the given function

Q: The function f(x) = −2x³ – 19.08x² +70.179x - 3.59 is increasing on the open interval ( ). It is…

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Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: Solve the following homogeneous differential equations a. y"-4y'+4y= 0 b. 4y"+²y = 0, y(0) = 2,…

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Q: Differentiate y = 11x4 +3

A: given to find

Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.

Q: Use the differential dy to approximate 4y when x changes from x = 2 to x = 1.96. y = X x² + 1 Enter…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 68°C, it…

A: A freshly brewed cup of coffee has temperature 95°C in a 20°C room.When its temperature is 68°C, it…

Q: 4 7. Find the equation of the tangent line to f(x) = x5 + √√x³ + v +//w when x = 1.

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Q: For the polynomial, determine its standard form, degree, coefficients, leading coefficient, and…

A: Given:- 5x + x4 - 3Standard Form is given by Standard form :- x4 + 5x - 3

Q: Differentiate the function. y' = y = (In(1 + e*))5

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: Let f(x) = lnx Since f(x) rs for x>0 Continuous Since (1,1,04), by mean such that on [1, 1.04] and…

A: The given function is

Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. x The area…

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Q: K Find f'(x) and f''(x). 2 x - 3x X+ 1 f(x)= f'(x) = 0 f'(x) = 0

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Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: Find the exact length of the curve. 36y² = (x² - 4)³, 2≤x≤6, y 20

A: Find the exact length of the curve.36y2=(x2−4)3,2≤x≤6,y≥0

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

A:

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…

A: Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is…

Q: Question 3.35) An expert in the housing market tells you that the price of midsize houses in a…

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Q: Differentiate the function. y = log (e-* cos(TX))

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Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5^x2+7x−4

A: To find the average rate of change of the given function on the interval .

Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: g(x) = ln (xe³x)

A: According to Bartleby guide line we only do first part. Please re post other part in next…

Q: Find all relative extrema of the function. Use the second derivative test where applicable. (If an…

A: The given function is

Q: Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the…

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: 3 Sketch the region R bounded by the curves y = =, y = 0, x = 1, and x = 2. X Find the coordinates…

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Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

Q: Differentiate. g(t) = 14t g'(t) =

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Q: Consider the parallelogram induced by the vectors 71 I= = Q [³] 2 and 2 = [ -x + where x is an…

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Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x)…

A: we are given the table of functions and their derivative at certain values, we need to find out the…

Q: Find dy dx xy + y² = 5 dy-0

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Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

Q: Find the value by writing the argument using the numbers 2 and 10 and using the values log 2 =…

A: The Logarithmic Formula is given as follows

Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

A: To solve the following separable differential equation for .

Q: graph f(x - 4) - 5 below

A: given graph of f(x)graph f(x - 4) - 5

Q: 3. Solve the DE dp dt Р R(1-P) M = KP 1-- if k, M and m are constants.

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…