(11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

Q: State the interval(s) over which the function f(x)=√x² + 10x + 25 is continuous. If there are…

A:

Q: a) Let f(x)=−x4−8x3+2x+6. Find the open intervals on which f is concave up (down). Then determine…

A: Given function, f(x)=-x4-8x3+2x+6

Q: Use the given graph of f(x)=√x to find a number & such that if x-4<8 then √x-2<0.4 2.4 -√x 2 1.6 ? 4…

A: We have to find the number δ.

Q: 26. Which restriction would enable the function )= x+ ór- 9 to have an inverse function? A. 12 9 3…

A: Find the roots of the polynomial then check one one domain

Q: Find maximum and minimum values for f(x), then estimate 3 √√x² + 1 dx

A: We know that trigonometry property : Sec2x = 1+tan2x .   We know that general:   1.integration of…

Q: Xy - X. y X*5 lay substitution x ky algebra why 8970? a IS by algebre to? qa are botth integers and…

A: Please cheek the next step-for detailed answer

Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: The objective of this question is to evaluate the value of a piecewise function at a given point. A…

Q: Form the interpolating polynomial of degree k that satisfies pG) (xo) = f(G) (xo) for 0<j< k.

A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

Q: 9. Two zeros of f(x) = x* – 7x³ +x² – 63x – 72 are 3i and 8. In what form are the other roots? A. 1…

A: Topic = Polynomial

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. У(х) %3D…

A:

Q: Show that f(x) = x4 + 4.x + c has at most two real roots for any umber c.

A: Consider the given equation. fx=x4+4x+c Case 1: When c&gt;0. No sign change, by Descartes rule of…

Q: id I prove this qa is not to zero correctly? Please look over my proof and qa is not equa

A: Proof by contradiction:  Argument by contradiction is a type of proof in logic and mathematics that…

Q: (b) Compute 1₂ x + y √2 - 2² - y²|dA, = {(x, y) |x² + y² ≤ 1} D =

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Q: The Furchon f(2) is given by f6) = 32+ 42 Find foe) if x 3 2. 1-

A: See the attachment

Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1)…

A: Topic = Functions

Q: 2. Find the quotient and remainder of the following functions by long division. Write the answers in…

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Q: a. The remainder of P(x) = 2x' +mx? –7 when it is divided by x+2 is 6 greater than when it is…

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Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: Explain why you know that λ is a root of charL(x) if and only if Ker(λId-L)≠0

A: To prove the equivalent conditions on the roots of the characteristic polynomial and the kernel of…

Q: |u|> c is true for all real numbers if c _ 0.

A: |u|&gt;c is true for all real numbers if c ____ 0.

Q: 1.) What is the guptient Abst when is divided by gcx) = x²+x-2 in 2₂ [x12 f(x) = 6x4-2x³ + x²-3x + 1

A: