Compute the area of the parallelogram with vertices A(2 1), B(5,0), -2) and D(4, -1).

Q: f(t) = {sind, t2 0, (sint, 0≤ t ≤ 2

A: A detailed solution is given below.

Q: A person standing at the edge of a cliff throws a rock upward from a height of 350 ft above ground…

A: given  h(t)=-16t2+53t+350when the rock reaches the bottom  condition is h(t)=0

Q: I A N In the above picture, 0≤x, y, z ≤ 2. Points A and B are located on the face of the cube where…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: Evaluate the double integral over the rectangular region R. [[⁹xy³dA; R = {(x, y): − 1 ≤ x ≤ 1, − 7…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=0, y=cos(6x), x=pi/12,…

A:

Q: Evaluate the function f(x)=x²+x for the given value of x. F(2)=

A: To find f(2) , substitute x=2 in f(x).

Q: The table below shows the cost CC to Company A, in dollars, of selling x cups of coffee per day from…

A: slope=change in y value change in x values given  the cc function is linear functionthere forr…

Q: zotolamyes Isinashon Graph f(x) == Describe the transformations using the parent function f(x) =…

A: The given function fx=1x. We have to sketch the graph of the function.

Q: Let f(x) = = a) 9x +4 following. Simplify if possible. f(x) = f(a) a - X = . Evaluate the 4 A' for x…

A: The given function fx=x9x+4. We have to simplify the expression fx-fax-a and find the value of A.

Q: 22. The National Head Injury Foundation estimates that every 15 seconds, someone in the United…

A: Given data enery 15 sec , someone will sustain a brain injury approx 750000 people per year require…

Q: a) Find the simplified form of the difference quotient for the function f(x) = - X b) Complete the…

A:

Q: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

A: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

Q: x² - 3x x53x² - 9 ' 2 Х - x = 3.1, 3.05, 3.01, 3.001, 3.0001, 2.9, 2.95, 2.99, 2.999, 2.9999 19. lim

A: As per ourguidelines we are supposed to answer only one question.Kindly repost other question as a…

Q: Is this function g(t) continuous on the given interval? - Ists ts I 7 sint on

A: Given : interval

Q: Given f(x) f'(x)= = 2 9 x X " find f'(x) using the limit definition of the derivative.

A: Given: f(x)= (2-x)/(9-x)

Q: ) f(x) = x(x − 3)

A:

Q: If the equation: P=40e^-0.101t is rewritten in the form P=P0a^t What is P0? what is a? Is this…

A:

Q: Calculus for Engineers Solve for the following equations each with a specified method: Using…

A: Here we have to solve the equations.

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: We need to find out the values of b for which the given vectors are orthogonal.

Q: Find the midpoint M of the line segment joining the points S=(7,5) and T=(3,-3).

A:

Q: x²-3y² 2xy . Show that the given equation is homogeneous . Solve the differential equation. 0. G dx

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Q: The 2000 population of Jacksonville, FL was 736,000 and was increasing at a rate of 1.49% each year.…

A:

Q: The function s(t) represents the position of an object at time t moving along a line. Suppose s(3) =…

A: Given that s(3)=150, s(5)=190, where s(t) represent the position of an object at time t.

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A:

Q: A concert promoter needs to make $80,050 from the sale of 1,910 tickets. The promoter charges $30…

A:

Q: Evaluate the integral f fxy dA, where R is the triangle x + y ≤ 8, x ≥ 0, y ≥ 0. NOTE: Enter the…

A:

Q: Given lim f(x) = -7 and lim g(x) = 6, x →8 x →8 evaluate: lim ( – 5f(x) + 6g(x)) = x →8

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Q: The graph below is comprised of transformation of tool kit functions. 16 -5 -4 -3 -2 f(x)= -1 = 6 4…

A: A detailed solution is given below.

Q: Four identical circles of radius r are inscribed (as shown) in a square of side x feet. (a) Express…

A: A detailed solution is given below.

Q: A company's marginal revenue function is MR = 150 12x1/3, where x is the number of units. Find the…

A:

Q: a) If a derivative of the function is given as: f'(x) = 9x² + 16x - 7 i) Find the function f(x) in…

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Q: The production and sale of a boxes widgets-part-A gives us the following profit function: x² 100…

A:

Q: The shaded region between the graphs of y=-2x² + 20 and y = 3x - 15 is displayed below in orange. 25…

A: Given The shaded region between the graphy = -2x2 + 20 and y = 3x - 15 First find intersection…

Q: The position function of a moving particle is given by p(t) = 1² - 8t + 11 feet at t seconds. Find…

A: To find at what time speed is 4ft/s.

Q: Let f(x) = ²³ d. Find the value of ƒ¹ (2) af(x) 0 24 4 -8 -4 -24 12 -12 8

A:

Q: 2. Find the area of the regions enclosed by the parabolas y = x and y = 2x − x²

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Q: Find the point at which the line f(x) = 2x +2 intersects the line g(x) = 4x + 4

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Q: When Jason was cleaning up his room, he found four types of items: books, legos, dolls and trading…

A:

Q: 5. (a) dy/dx = xy² dy/dx = y² (b) (c) dy/dx = y² + x dy/dx= x² + y² (d) 2 2 0 -2 1 2

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: elow is the graph of a function f. ● 8- 6+ -6-4-2 4+ 2+ -2+ -4- 2 4 6 Is f continuous at x = -4? Why…

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Q: 1. What is the domain of the function below? x-4 x-2 2. What is the domain of the function below?…

A: To determine the domain each of the function which are given below. (1) fx=x-4x-2 (2) fx=x2-1x+1

Q: Given the data points (1, 13), (4, 235), (8, 2974), and (10, 6875.5), find the value of f(x) if x =…

A: The points are given as , 1,13 , 4,235 , 8,2974 , 10,6875.5 If x=4.15 find the value of fx.

Q: Find f(x) if y = f(x) satisfies dy dx = 4y and the y-intercept of the curve y = f(x) = f(x) is 13.

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Q: The graph below is the function f(x) 5- 4- 02 -5 -4 -3 -2 -1 1 -1 -2 0-3 4 -5 1 2 3 4 5 Find lim…

A: Graph of the function is given, we have to find the values of limx→-1-fxlimx→-1+fxlimx→-1fxf-1.

Q: Find the area under the curve y = 3x¹ over the interval [0, 2] Give the exact value.

A: Given that , y=3x4 on 0,2 Find the area under the curve.

Q: State the region enclosed by the given curves and find its area. x = y¹, y = √√√2 — x, y = 0

A: To state the region enclosed by the given curves and to find its area. x=y4, y=2-x, y=0

Q: the solution for the differential equation of y'-y = x(e^x) Also indicate what its type of equation

A: We will find the required.

Q: Find the rules for the composite functions f. g and g. f. 1 f(x)=√x+10; g(x) = x-10

A:

Q: Calculus for Engineers 1. Given the relation: {(1,2), (2,4), (-2,0), (1,3)} Is this a valid…

A: We have given a relation  {1,2,2,4,-2,0,1,3} A relation is a function if relates each element in its…