Use long division to divide. x-x3-15x² +21x-9 1. x²+3x-4 Find the possible rational zeros possible positiv 2. (b³-4b²+b-2) + (b+1)

Q: Consider the functions f(x) and g(x), for which f(0) = 4, g(0) = 7, f'(0) = -4, and g'(0) = −4. Find…

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Q: a heavy rope, 60ft long, weighs 0.8lb/ft and hangs over the edge of the building 110 ft high. How…

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Q: Find (fogoh)(x) if f(x) = ln(x), g(x) = x + 2, h(x) = 3x². What is the domain of (fogoh)(x)?…

A: Composite function  Find domain

Q: 4. Prove that d - (csc (x)) = -csc (x) cot (x). dx

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: cos e 17. lim 800 8²

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

Q: Find the degree of the term 3: Find the degree of the term -6x4: Find the degree of the term -3x6:…

A: We have given to find degree of the terms As 3=3x0  If y=xn degree of y =n degree of the term 3 : 0…

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 4, -1), b = = (2, 4, 1).…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: f (x) = (4x^5+ 3x −1)^6 Find the derivative

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Q: Find two unit vectors orthogonal to both = (3, 4, 1) and = (0, 1, 5). Give exact values (no…

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Q: 5. (4D³ — 4D² + D-1)y=0

A: 5) (4D3-4D2+D-1)y=0 Solve 4D3-4D2+D-1=0

Q: Use the quadratic formula to solve the equation 4x² 12x + 13 = 0. - Enter multiple answers as a list…

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Q: (1 point) Differentiate y y = = sin(x) 0 ← sin x x² A

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Q: n=1 n=1 8 n=1 ∞ n= 1 1 + 3 2 3 Select the appropriate summation 1 n(n + 1) (-1)" n(2n + 1) 1…

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Q: 3. Would you consider the selection to be a permutation or combination? Explain. A) A CEO selects…

A: We have to explain in which case permutation and in which case combination is used.

Q: Polly's bike company produces bikes. The company has a cost function of C(q) = 2(q + 10)² + In(q² +…

A: Given cost function c(q)=2(q+10)2+ln(q2+16)

Q: S dx 2√x+3 +3

A: The given integral is 1/[2 sqrt(x+3) +3].

Q: Find the Taylor series generated by f at x = a. f(x) = 6X, a = 2

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Q: Let f(x) = x³ - 1. (a) Find the average rate of change over [1,2]. (b) Find the average rate of…

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Q: Use the Chain Rule to find dw/dt. W = = xeylz, dw dt II x=t7, y = 8-t, z = 7+ 9t K

A: To find the derivative using chain rule

Q: Suppose that y is a differentiable function of x and w = cos(y5). dy Express the derivative of w…

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Q: Find the value of at which the tangent line to the curve y = +1 passes through the origin.

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Q: √4-x² So fo 0 [ r x² + y² dy dx

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Q: M8 ∞ nx n+6 n=0 OA. The interval of convergence is (Type a compound inequality. Simplify your…

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Q: A quadratic function has its vertex at the point (3,-9). The function passes through the point…

A: The given function is: fx=ax-h2+k   Given: vertexh,k=3,-9Px,y=-2,-1

Q: Use the figure below to estimate the indicated derivatives. a derivative does not exist, enter dne…

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Q: h'(s) =

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: (a)  x5+81(x2-x)(x4+18x2+81)we know  (x2-x)=x(x-1)(x4+18x2+81)=(x2+9)2

Q: Find MID(2) and TRAP(2) for f -5(1 – e−²x) dx. е MID(2) = TRAP(2) = = Sketch the function f(x) =…

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Q: The _____ of a curve shows the point at which the curve intersects an axis.       A)  slope   B)…

A: Given query is to find the correct option for the intersection of curve with the axis.

Q: Find the derivative of the function g'(x) = g(x) = X 3x + -3 X

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Q: d'y A curve is defined by the parametric equations z (t) = at² and y (t) = bt, where a and b are…

A: Double differentiation

Q: r(t) = (6-t)i + (7t-6)j + 3tk, P(5, 1, 3) Find the arc length function s(t) for the curve measured…

A: We have to find the arc length function.

Q: Let à = (1, 1, 5) and 6 = (2, 3, 4). Find a x b. (Enter your answer as a vector of the form .) axb=…

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Q: find the critical points and apply the second derivative tes ( or state that it fails )

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. dn = √ √n+1 = √n…

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Q: 10. Show that the ellipse and hyperbola, */*+2=1, 3 intersect at right angles.

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Q: aw dr Find when r = 10 and s= - 10 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s).

A: see below the answer and calculation

Q: (a) Find the inverse function of f(x) = 7x - 6. f-¹(x) = (b) The graphs of f and fare symmetric with…

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 9/n bn = n² (Use…

A: Given query is to find the limit of the sequence.

Q: Find the equation of the tangent line to the curve y 6 sin x + cos x at the point (0,6).

A: Here we have to find the equation of tangent line.

Q: The integrating factor to (2y² + 3xy-2y+6x)dx + x(x +2y-1)dy = 0, to make it an exact differential…

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Q: Find the volume of the solid that results when the region bounded by y = 3 + 2x - x², y = 0, and x =…

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Q: Given f(x)=2x^2+4x+3, find the average rate of change of f(x) from x=−2 to x=t

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Q: The special integrating factor of y²dx +(3xy + y² −1)dy = 0 is: a. e³y p. 3y c. y d. y-3

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Q: How should an angle with the following measure be classified? 17T 36 A B с D acute angle right angle…

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Q: If find f'(t). f'(t) = f(t) = √7 t6

A: INTRODUCTION The quotient rule is a formula used to find the derivative of a function that is the…

Q: -1 (A) (B) (C) (D) (E) 3 2 1 -1 -2 1 Using the graph above, evaluate the following limit. lim f(x)…

A: Explanation of the answer is as follows

Q: Use the Chain Rule to find the indicated partial derivatives r= y + x cos(t), s = x + y sin(t) when…

A: Given that , u=r2+s2 , r=y+xcost , s=x+ysint Use the chain rule to the find the partial derivatives…

Q: Question #3 - Find the relative extrema for the function f(x)=x²-3x using the second derivative test

A: Given function , f(x)=x3-3x

Q: DETAILS WANEFM7 2.R.039. OHaganBooks.com is seeking a $260,000 loan to finance its continuing…

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