Determine a and b such that p(x) = x² + ax + b satisfies p(1) = 0 and p'(1) = 9. (Give an exact answer. Use symbolic notation and fractions where needed.) a= b =

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Q: 3. Find a model for the set of values. x-5-4 y 25 10 4 5 16 2 16 25

A: We have to find the graph for given set of values

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Q: he dollar cost of producing ?x bagels is ?(?)=300+0.25?−0.6(?1000)3.C(x)=300+0.25x−0.6(x1000)3.…

A: Topic = Algebra

Q: lim h0 lim ho ((x + h)' - x3 h √x +h=√x h

A: a). The given limit is: limh→0x+h3-x3h

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Q: Let f(x) = 1 X Find/simplify the difference quotient: f(x)-f(a) x-a

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Q: 8. Find the position function r(t) given that ā (t) = (-1,-1, -1) and (0) = (-5, -5,5) and 7(0) = 0.

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Q: Find the equation of the tangent line to the curve f(x) = 4√x-x+9 at (16,9)

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Q: QUESTION 3 State the domain of: f(x)=√3-1-√2+t O [-2,3] O (-∞, -2) U (-2,3) U (3, ∞ ) O [-3, 0⁰0) 0…

A: Domain:- All those input values of a function such that function at those values exists.

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Q: 4. Ignacio wants to have 10,000 pesos at the end of 10 years. He decided to open a bank account that…

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Q: 1) lim x² - 16 x 4 x + 4

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Q: x − 2 lim x-2 √√√√x - √2)

A: SOLUTION-

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Q: lim h0 lim b-00 ((x + h) - x² h √x + h - vx X h

A: Please see the below picture for detailed solution.

Q: Find the equation of the line tangent to the graph of f(x) = √√√x-4 at x = 8. Provide your answer…

A: Given Function:- fx=x-4

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Q: If log (64) = 2, then x = If log (256) = 4, then x Number Number

A: Topic = Algebra

Q: H Question Completion Status: QUESTION 4 State the domain of: g(x) = □ (-∞, -2) U (-2, ∞ ) O(-∞,2) U…

A: We have given function  gx=x+3x2+x-6 Domain is the values of x for which a function is defined.…

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A: Consider the function  f(x)=6x-12,     if x≤25-x2        if x>2

Q: IF The Following vectors are be equal A = 21-î+ (27_1) E B = 2X² +47 +3K Find The Values oF (X.)

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Q: Find the indicated angle 0. (Use either the Law of Sines or the Law of Cosines, as appropriate.…

A: Given

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 8 lim (x, y) (0, 0) x 3 xy…

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Q: P Prove that'" | e-juto | = 1

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A: The graph of f(x) = |x| is given as

Q: Challenge #6: Sketch the DERIVATIVE of the graph shown here. T -10 √ -5 8 10 -5 0 -5- 5 10

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A: See this solution in below.

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Q: 126. Find h'(1) if h(x)= xf(x) + 4g(x). f(x) g(x) 128. Find h' (3) if h(x) = 2x + f(x)g(x). 127.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Show the ODE is not exact, but can be made exact. SOLVE. (x+x+2y + 1) dx + (x + 1) du 0 =

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Q: Assuming f and g are differentiable functions, determine (fg)'(5) if f(5) =-2, f'(5)= 3,g(5)=-6, and…

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Q: (2) Compute the integral and then verify that you got the correct answer by differentiation. (a)…

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Q: Consider the following functions. 2 X x²1¹9(x)= x + 1 f(x) Find (f + g)(x). = + Find the domain of…

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Q: For the following exercises, find the equation of the tangent line 7(x) to the graph of the given…

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Q: 3. Find the curvature of the following: Give exact values only a) r(t) = (2t, t³,t²) at t = 1

A: The formulas of curvature are as follows

Q: Find the indicated derivative. f'(8) = If f(x) = 122. Need Help? X Read It 48 F find f'(8).

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Q: For the given function find the average rate of change over each specified interval. f(x) = x2 + x −…

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Q: Evaluate the definite integral. 6.™ 10 π/10 cos(5x) sin(sin(5x)) dx

A: To evaluate the given integral

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A: Cost, revenue, and profit are in dollars and x is the number of units.Suppose that the total revenue…

Q: see the question as attached here

A: We have to show sum of series is 1 and if given series is geometric or not.

Q: Find the arc length of the curve r* (t) = (cos³ (t), 0, sin³ (t)) from t = 0 to t = FIN ㅠ

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