7. 3 Let h(x) = ³₂. x-2° (a) (b) Find the inverse, if it exists. Find the domain and range of each.

Q: 4 Write a polynomial with degree 3 that has zeros at x = function in factored form using only…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: a: Question 6 x² Let f(x)= for x # 1. x-1 Find local maximum value(s) and local minimum value(s) of…

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Q: Consider the function f(x) = 7x + 6x For this function there are four important intervals: ( − ∞,…

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Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

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Q: Find the area of the region bounded by the line  y=6-2x and the coordinate axes. (Write only the…

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Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 7. The total cost in dollars of a company to produce an amount x of a certain item is given by C(x)=…

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Q: Given the augmented matrix 0 k-1 k+1] Select one alternative: ○ k = 1 and k‡ -1 Ok #1 ○ k = 1 and…

A: Given augmented matrix:- 10|       10k+1| k+1

Q: Limits

A: In mathematics, a limit is the value that a function (or sequence) approaches as the input (or…

Q: interval. f(x) = x³ - 6x² + 9x + 22, on [-1,2] 3. Find the absolute extreme values of the function…

A: Given: fx=x3-6x2+9x+22, on -1,2   Use the Power law: ddxxn=nxn-1 For maximum and minimum values…

Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

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Q: The following is known about f(x): Iim     f(x) = 1 x->2 There is a discontinuity at x = 2 Which…

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Q: Suppose that you perform integration by parts on the integral have set u = ln x and dv Select one…

A: The given integral is: I=∫x3lnxdx   Use the integration by parts; ∫udv=u·v-∫vdu And The Power rule:…

Q: Solve for the general solution: Oy 0.25x^2 sin(4x) + cx^2 Oy -0.25x^2 sin(4x) + cx^2 Oy -0.5x^2…

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Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = −2x(2x² +…

A: Given; We know that the y-intercept is an (x,y) point with x=0. So, we get that f(0) = 0.

Q: 1≤ 0≤36 arcsin (~1²3/2)

A: The objective of the question is evaluate the value.

Q: If p(x) = log7 :), find p'(x). x37x 6x+5

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Q: The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that…

A: Given :Half-life of cesium-137 is 30 years

Q: 35-38 Find y" by implicit differentiation. 36. x² + xy + y² = 3

A:

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find out the maximum revenue.

Q: Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the…

A: Given planes:- P1:x+y-z=5P2: 3x-y+5z=3

Q: You are a lifeguard and spot a drowning child 40 meters along the shore and 50 meters from the shore…

A: Distance along the shore= 40m Distance from the shore= 50m Run speed = 4 m/sec  Swim speed = 0.9…

Q: Find the indefinite integral. (Use C for the constant of integration.) [x² x cos 4πx² dx

A: Given: I=∫xcos4πx2dx   ...1   Use the common integral: ∫cosxdx=sinx+C

Q: 5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function…

A: Domain:- All those values for which the function exists. Range:- All those values the function…

Q: Problem 4 Find a,b,c, and d in the cubic equation y-ax³+bx²+cx+d whose graph has a horizontal…

A: we need to find out the value of a, b, c and d

Q: The polynomial of degree 5, P(x) has leading coefficient -3, has roots of multiplicity 2 at x = 1…

A: We have to find out

Q: Question 5 Indicate if the function represents exponential growth or exponential decay. y = 95(0.3¹)…

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Q: Which of the following is a normal vector to the plane which is parallel to vectors (0, -3, 1) and…

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Q: For which of the points on the curve x² + y² - 4 = 0 does the slope of the tangent not exist? Select…

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Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

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Q: Given the function ƒ(x) = 5x¹ + 75x³ + 315x² + 405x, and one of its factors is (x + 9), write f(x)…

A: Giv     fx=5x4+75x3+315x2+405x    One of its factors is x+9 Factor out common terms:…

Q: 7. Use the given information to find the indicated probability. P(C) -0.6, P(B)-0.5, P (CUB)-0.7,…

A:

Q: Write a polynomial with degree 4 that has a zero at x = 5 - i√√2, and a zero at x = multiplicity of…

A: Here we have to find the polynomial.

Q: A function f(x) has an inflection point at (1,8). Which of the following could have been the result…

A: A necessary condition for x to be an inflection point is f''(x)=0. A sufficient condition requires…

Q: Find the exact length of the curve. y 1/4x² - 11/12 In(x), = -X 1 ≤ x ≤ 4

A: We will find the curve length as shown below

Q: For a given cylindrical tank, the radius is 7 m and the height is 13 m. The tank is filled to a…

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Q: A continuous function y = f(x) is known to be negative at x = 1 and positive at x = 4. Why does the…

A: A function with no breaks is a continuous function.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: Find the general solution of the given differential equation: Oy Inic(1+x) = 1 Oy Injc(1-x) = 1 O…

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Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

Q: Let f(x) = 2x3/2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. Enter an…

A: Let fx=2x32, to calculate the arc length of the graph of fx over the interval 1, 3.

Q: 10. Find the value of $1000 deposited in a bank at 8% interest for 10 years compounded: a) quarterly…

A: Given that , P=$1000r=8%=8100=0.08t=10 years

Q: kite 100 ft above the ground moves horizontally at a speed of 2 ft/s. At what rate (in rad/s) is the…

A: We will find the required.

Q: Which of the following is the equation of the tangent to the graph of y=esin at the point x = π ?…

A: Here is the solution:

Q: 9. We know that 1 ² = n(n+1)(2n+1). Use it to determine the following 26 Σ₁² i=6

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Q: Given the function f(x) = 5x³ − 56x² + 112x + 128, and knowing one factor is (x − 4), write f(x) a…

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Q: Differentiate f(x) = 5 ( − 3xº – 8x³). You do not need to expand your answer. f'(x) = Factor out the…

A: d/dx =nx(n-1) for any real number n

Q: Which of the following functions is not differentiable on all of its domain? Select one alternative:…

A: Given options:- a) x2+1 b)x+1ex c)x2-1 d)lnx2+1