Use the Intermediate Value Theorem (1VT) to show that the function. f(x) = lex² - 11x-7 has a zero in the interval [-1,2]. Find the value of c guaranteed by the theorem.

Q: 3,2 Show that the function f(x, y) = x³y²– 2xy¹ is homogeneous.

A: To show that the function  is homogeneous.

Q: Using the figure below, which of the following statements are true? Check all that are true. A. lim…

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Q: a) f(x)=x²+x+6 x-2 b) f(x) = √√x² - 4x +3

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Q: 2. Use polar coordinate to evaluate the double integral 1₁1+²+³d₁₁ 1 + x² + y² dA, = 0, y = x, and…

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Q: Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use…

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Q: da 1) If y = xy, then A) y =ce B) y² = x² + c C)y=e² +3 D) y=x² + c

A: We have given a differential equation and we have to find the solution.

Q: Vector (2,5, 0) has initial point (-5, -7,-3). Find the terminal point. =

A: Given Vector Initial Point Let Terminal Point

Q: Let u = (2, -3, 4) and v = (-2, 1,3). What is the projection of u onto v (proj v u) and the scalar…

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Q: The equation x² + y² +22= 49 is equivalent to √√x²+ y² + 2² = 7, so the region consists of those…

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Q: Find two angles between 0° and 360° for the given condition. Express your answer in terms of…

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Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(2x + 3)-¹ - 1000 where x is…

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Q: Determine all intervals on which the graph of f is increasing on the closed interval [—9, 9]. M -10…

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Q: quadratic function 8. Find equation of quadratic Satisfying these conditions: x y vertex -2,3, k and…

A: The vertex of the quadratic function isThe point through which the graph of the quadratic function…

Q: A person starts walking from home and walks: 4 miles East 5 miles Southeast 3 miles South 4 miles…

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Q: In formally proving that lim (x² – 8x) = − 16, let a > 0 be arbitrary. Determine & as a function of…

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Q: (b) lim #11 5x² - 7x+2 x² - 1

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Q: 7) If = 2√y and y = 16 when x = 0, then what is dx the value of y when x = 2? A) 6 B) 20 C) 36 D) 64

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Q: A farmer has 80 meters of fencing to use to enclose a rectangular garden that has one side against a…

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Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: A clothing business finds there is a linear relationship between the number of shirts n and the…

Q: (a) Find the average value of f(x) = 25 - x² on the interval [0, 1]. Answer: (b) Find a value c in…

A: We need to find the average value of the given function on the interval [0, 1].

Q: please find me the area of functions y=x^2 x=1 x=2 y=0

A: To find the area of the region bounded by the following functions.

Q: Let f(x) = -9- Complete the tables below. Round all table values to four decimal places, if…

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Q: 3 / (2³ + 3² + sinz + soc³² 2 + √₁ ²32 + √2) +sinx+secx+ dx √1-x²

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Q: 21/ Find the derivatives for the following. y = (Inx) 5 a

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: secy, (0)

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Q: The Taylor series of the function ○ ƒ(x) = ₁/² x 1-u (Z− x) u(1-)Z = (x) ƒ Omle n+1 | S (x) = Σ(-1)*…

A: To find the Taylor series of the function  about the point .

Q: young person opens an investment plan in which intrest is compounded continously and additions to…

A: where:A(t) is the amount of money accumulated after t years.P is the initial principal amount ($2000…

Q: 4. Find the point (s) on the graph of f(x) = = X x² +36 where the tangent line is horizontal.

A: The given function is

Q: Without graphing,show that (2)=42+2 is an odd function. Show all work. No work = zero.

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Q: A rectangular piece of cardboard of size 16 inches by 20 inches is to be used in a factory to create…

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Q: Consider again the space curve c(t) = (1, 4 cos t, 4 sin t). Compute the associated unit normal…

A: Given a space curve to find unit normal vectorif a vector function  then unit tangent vector and…

Q: -Ve-VR, where = a + b + c2 is a constant vector and R = x + y + z2 is the position vector. е Find VX…

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Q: The given graph is an even function. -5- 0

A: According to latest Bartleby guidelines, we can solve only first question from multiple questions.

Q: Determine the interval(s) on which the function is constant. Write your answer as an interval or…

A: The graph of a constant function is a horizontal line through point c. Constant functions are always…

Q: 4. Sketch the graph of x3 - 4x² + 2x - 1 by labeling the maximum/minimum points, inflection point…

A: given function

Q: A 74 N weight is suspended by two ropes that make angles of 55° and 75° with the ceil Resolve the…

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Q: 49. Use a graph to estimate the equations of all the vertical asymptotes of the curve y tan(2 sin x)…

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: The change from religious to lay teachers at Roman Catholic schools has been partly attributed to…

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Q: Find f'(x) and f'(c). f'(x) f'(c) = = Function f(x) = sin x ex Value of c C = 0

A: The function is We have to find that f′(x) and f′(x)So, to differentiate the function use the…

Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(2, 1, 3), Q(4, 4, 6),…

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Q: A cable that weighs 6 lb/ft is used to lift 750 lb of coal up a mine shaft 650 ft deep. Find the…

A: Given:Weight of cable = 6 lb/ftWeight of coal = 750 lbheight = 650 ftTo find:work doneLet us take x…

Q: Determine the interval(s) on which the function is (strictly) decreasing. Write your answer as an…

A: To determine the interval(s) on which the function is (strictly) decreasing.

Q: For the region R bounded by y=the square root of x and y=× find the horizontal line y=k that divides…

A: The objective of this question is to find the value of 'k' such that the horizontal line y=k divides…

Q: Given the function f'(x) = 2x³(x + 4) (x-4), what conclusion can be drawn directly from the sign…

A: The given derivative function is

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Q: م √x1-36 dx 3 use X ² trig substitution 69ec0 to solve

A: To solve the following integral by using Trigonometricsubstitution,

Q: Find equations of the spheres with center (3, -4, 6) that touch the following planes. (a) xy-plane…

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Q: 3) dy If and y(2) = 6, then da

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Q: 5: Compute the associated binormal vector B(t) for the same space curve c(t) = (t, 4 cos t, 4 sin…

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Q: a) Sketch the vector -3 6- 5 4 -6 -5 -4 -3 -2 3 2 1 -1 -2 -3 -5 |-6 W 1 2 3 4 5

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