f(x) = at a = 1 x-1 1 if x # 1 if x = 1

Q: Evaluate 32 tog log₂³² - log₂8

A: let  V=log232-log28formula used logxn=nlogxlogxx=1

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Q: Graph the line with slope 1 and passing trought -1,-5

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Q: Let f(x) = 2x³-5x + 2. Explain, by using the Intermediate Value Theorem, why this function has (at…

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Q: Let (a) Find lim f(x) #0+ = 7 sin(x) I +5c 3x6 #≤0 (b) Find the value of c if f(x) is continuous at…

A: Here we have to use the concept of the limit

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Q: 1. x52x²y³ + y² = 7 mi G

A: As per our guidelines we are supposed to answer only one question.kindly repost other questions as a…

Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = =…

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Q: if n(A U B) = 97 and n(A) = n(B) = 69, find n( A ∩ B)

A: We are asked to find n(A∩B)

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Q: Find the equation of the line tangent to the graph of f(x)=2x2+x−3 at x=−1.

A: I have appended the formula used in the solution part of the question

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Q: alculate the limit for the function f(x) = 12 - 4x and interval [2, 6]. Verify your answer by using…

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Q: Find all solutions of each equation on the interval [0, 27). 3 tan x-√3=0

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Q: Given the vector u = (-6,5), find the magnitude and angle in which the vector points (measured from…

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Q: Some time ago, a consultant formulated the following linear model of demand for online novels, where…

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Q: What is the equivalent radian measure for the given degree measure? Drag a radian measure into each…

A: Given query is to convert degree to radians.

Q: can you give steps on how to do a "Definite Integral of a Root (or Fractional Exponent)"

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Q: QUESTION 17 Solve the inequality. Write the solution set using interval notation and graph it.…

A: Given query is to find the solution of the inequality.

Q: Let f and g be differentiable functions. Find a general formula for the derivative of y = f(x)9(x).

A: Given y = f( x )g( x )

Q: Find the derivative and simplify. dy dx y = (5x + 5) (6x6 - 5x¹ - 8)

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Q: 3. Draw the graph of y = = = x² + 2 and the tangent line to this graph at x = -2.

A: As we know that, The slope of the tangent line to the curve is equal to the derivative of the given…

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Q: -5 -4 -3 -2 -1 5- 4 3 2 1 -2 -3 * 2 3 4 5 Use the graph of f(x) above to estimate the value of f'(0)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: 1.) Find the equation of the tangent & normal line to the graph of y = √x-1 at the point (3,2). f…

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Q: that you report answers rs a et f(x) cos(92) cos(12) 1² cos(

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Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

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Q: dy dx dy dx Find for the function y = x .-10 cos(x) 0

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Q: Find f '(2), where f(t) = u(t) v(t), ū(2) = (1, 2, -1), u' (2) = (3,0, 4), and v(t) = (t, t², t³).

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Q: 6- - 10 -3 -3 4 р. Qo Ау CO X 8 10

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Q: Find the equation of the line tangent to the graph of f(x)=−x2−x+4 at x=−1.

A: The given function fx=-x2-x+4. We have to find the tangent line at x=-1.

Q: 7x-7 m 1- 1-r im |7x-71 1+ 1-x Question Help: Message instructor D Post to forum Submit Question Q…

A: We will find the required.

Q: Given that lim f(x) = 16 and lim g(x) = -3, find the following limits. 2-3 I-3 (a) lim (2f(x)…

A: INTRODUCTION The limit of the function is equal to the value that the function approaches as x…

Q: Use the product rule to find the derivative of the following. ply) = (y¹ + y 2) (3y3-4y-4) p'(y) =

A: Given: p(y)=y-1+y-23y-3-4y-4

Q: her f is continuous or discontinuous at ven numbers. B -2 0 2

A: Topic:- continuous function

Q: For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent? (Use n as your…

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Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: If the cost function for a commodity is C(x) = ³ + 2x² + 2x + 12 dollars 90 find the marginal cost…

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Q: Determine the open intervals on which the function is increasing and on which the function is…

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Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h II if f(x)=-3x - 8. (Simplify your answer.)

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Q: Textbook Estimate the limit numerically or state that the limit does not exist: In(2x + 7) - ln (7)…

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