Q: If f(x) = 4x² – 5x – 2, find f(x + h) – f(x) ,h + 0 h and simplify.
A: Given expression:- f(x)=4x2-5x-2
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A: Given: n = 10 r = 4 Formula Used: Prn = n!(n-r)!
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A: xy3dx+y+1e-xdy=0
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A: Given data:- The given trigonometry equation is, cos2x+3sinx-2=0, 0≤x<2π
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A: U
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A: NOTE: Refresh your page if you can't see any equations. . the given cost function is where…
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A: To find the normal vector to the surface.
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A: we know that sequence is defined as the set of natural numbers N and X any set, then a function…
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Q: Find the points on the surface 3x² + 5y² + 2z² = 1 at which the tangent plane is parallel to the…
A: This question can be solved using the concept of derivatives and planes.
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Q: Let f be a continuous and twice differentiable function. Let f'(3)=0 and f" (3)=2. Select all that…
A: givenf'(3)=0
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Q: A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a…
A: Given data, n=40 r=8
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Q: (c) Let y = (In x)2. Compute y' by using logarithmic differentiation.
A: The given function y=ln x2x We have to find the derivative of y using logarithm differentiation.
Q: Find the given limit (x² - 1)(y² - 4) lim (x,y) →(1,2) (x - 1)(y-2)
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Q: Find a unit vector in the direction in which f(x, y, z) + == Z y² increases most rapidly at P(1, 2,…
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Q: Find the average rate of change of f1x2 = 3x2 - 2, from 2to 4.
A: Given, fx=3x2-2, 2, 4
Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.
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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…
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A: We can solve this as follows:
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Q: 4. Compute limz+2 2 2²-4 Z-2
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A: Given; Vertex (5, -1) ; point (6, 5).
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Q: Determine the domain and range of the following parabola. f(x) = x² + 4x + 6 Enter your answer as an…
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Q: Assume that ƒ(x) is everywhere continuous and it is given to you that ƒ(2) = −7 and f(x)+7 lim x→2…
A: Given query is to find the equation of the tangent
Q: Find the average rate of change of f1x2 = 8x2 - x:(a) From 1 to 2 (b) From 0 to 1 (c) From 2 to 4
A: Given: Given expression: f(x) = 8x2-x Formula Used: The Average rate of change ARC = f(b)-f(a)b-a
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A: Given data, n=50 r=3
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Q: ow the steps below for the given function. (Do not use mixed numbers in your answers.) 8x + 5y: we…
A: Given query is to find the derivative by indicated methods.
Q: Let f(x,y)=(−(5x+y))^7 . Then ∂^2f/∂x∂y = ∂^3f/∂x∂y∂x = ∂^3f/∂x^2∂y =
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Q: 2y X in the direction of (1, 2). Then, Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ ƒ(6, π) = = = sin (c)…
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Q: Use the formula for nPr to evaluate the expression 8P0.
A: Given: The given expression is: 8P0 Formula Used: Prn = n!(n-r)!
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A: Since you have posted a question with multiple sub-parts,we will solve first three sub-parts for…
Q: Find an equation of the tangent line to the curve y=4^x at the point (1,4) Tangent line: y=
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Q: 3. Area between two curves. Sketch the region enclosed by x + y² = 56 and x + y = 0. Decide whether…
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Q: Find the slope of the tangent line to the curve f(x) = x³ - 4x at the point where x = 0. A) 0 B) - 4…
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