Suppose that the velocity v (t) (in m/s) of a sky diver falling near the Earth's surface is given by the following function, where time t is measured in seconds. v(t) = 58(1-e 017) Find the velocity of the sky diver after 2 seconds and after 5 seconds.

Q: QUESTION 3 Determine if the function defined below is one-to-one, onto, both, or neither. 1. 2. 3.…

A: Here, note that the domain of the function is 1,2,3,4,5 and the range{a,b,c,d,e} is

Q: 3 Q.11 If x = , is a zero of the polynomial 2.x + kx–12, then find the value of k 2 The polynomial…

A: Let's find.

Q: suppose that the price p(in dollars) and the weekly sales x (in thousands of dollars) of a certain…

A: Given query is to find rate of change of sales.

Q: Consider the following rational functions. 7 f(x) = x+2x-3 3x h(x) =- 2 x-2x-8 Choose the graph of…

A: Here we have to make the graph for given function.

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

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Q: Find the equation of the quadratic function f whose graph is shown below. (2, 7) (3, 4) )- 0 ID

A: This question can be solved using the general equation of parabola.

Q: Evaluate Syp. the sum of the first ten terms of the arithmetic sequence. a, = 14, a1p = 5.5 (Type an…

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Q: f(x) = x* + x3 - 2x? For the above function give all points (give the x and y coordinate of each…

A: The given function,    f(x)=x4+x3-2x2

Q: if t<B (-2t + 1 Given the function h(t) ={2+ 1 Determine one value for B for which the function h(t)…

A: To find the value of  B(beta) such that the given function h(t) is continuous at t= beta.

Q: Solve the system of equations. 2x 5y + 2z = - 11 3y 4z = 21 4z - 12 = y = II I II

A: Topic = Equations x=5 y=3 z=-3

Q: D and E are sets of real numbers defined as follows. d=z<z4 e=z≥z8 Write  D∪E  and  D∩E  using…

A: D and E are set of REAL numbers.D={z|z&lt;4}D: (-∞, 4)E={z|z≥8}E: [8, ∞)

Q: Please state what kind of problem it is

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Q: Heather the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each…

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Q: Develop an amortization schedule for the loan described. (Round your answers to the nearest cent.)…

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Q: Solve the system by using the inverse of the coefficient matrix. 2x1 + 6x2 = 26 5x1 + 6x2 = 20…

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Q: Compute the determinant of the matrix by cofactor expansion. 6 4] 2 1 7 1 6 -6 15 14 |-2 2 -6 2 2 -2…

A: This question is based on calculation of determinant by cofactor expansion.

Q: QUESTION 12 The following curve represents a function f: RR. Note that the left tail of the curve…

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Q: Given: ZG = LS; AG = ES mob8 ietemi STATEMENTS REASONS ent ono Prove: AAGM AESM 1. AG = ES 1. 2.…

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Q: 4 Find a unit vector in the direction of 3 1 A unit vector in the direction of the given vector is…

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Q: The parabola in the figure below has vertex (0, 0) and focus F (3, 0). Its directrix is the vertical…

A: Given problem:-

Q: Explain how the graphs of g and h are obtained from the graph of f. f(x) = x, g(x) = (x + 4)*, h(x)=…

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Q: The function P(t) = t°(2t + 3), can ONLY be differentiated by using the product rule.

A: Yes , we can only differentiate  it by product rule  Hence the answer is  true.

Q: Below is the truth table for some function. Write the product-of-sums form of the function y f(T, y)…

A: This question is based on converting a truth table into POS form .

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Explanation of the answer is as follows

Q: 1 4 -1 -5 | 1 -2 Compute: 3 -3 -1 2 1 -2 5 -4 -5 4 Preview

A:

Q: Determine whether the given 3-tuple (2, -1, -7) is a solution of the linear system: x1+4x2 -4x3 5x1…

A: Given,          The linear system of equations are           x1+4x2-4x3=14…

Q: The demand curve of a manufacturer is p = 1200 - 3q, where p is the price in dollars per unit and q…

A:

Q: The diagram below will be used to answer the following questions: fix) 10 11 Is the function…

A: Given query is to find statement is true or false.

Q: 10x f(x) g(x) The partial fraction decomposition of can be written in the form of where 3 8x2 – 10x…

A:

Q: 1 2 Let vị = V2 = 0 |, and w = 1 be vectors in R- 3 1 (a) Is w in {v1, V2}? (b) Is w in Span{v1,v2}?…

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Q: Question 1 We have the following three matrices: 7 3 6 7 A = 3 2 B = 5 4 Another 2 x 2 matrices X…

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Q: There are 13 people standing on a moving bus. At the next stop, 7 of the people who are sitting down…

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Q: The function P(t) = t2(2t + 3)5, can ONLY be differentiated by using

A:

Q: Q.28 Using appropriate identities, factorise the following: (i) 49a? +70ab+25b² (ii) 9a² +6a+1-25b²…

A: Note: as per our guidelines we can solve only 3 sub parts so please repost rest part in other…

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

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Q: You have set a goal to save $10,000 in a savings account that earns interest at 2.54% compounded…

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Q: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of  7  large…

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Q: Use the graph to complete the following. 4.

A: Topic = Functions

Q: - 112? (x + 2)(x² + 4x + 5) g(x) (x2 + 4x + 5)* 31x- 24 can be written in the form of f(x) The…

A: Let  -11x2-31x-24x+2x2+4x+5 = Ax+2+Bx+Cx2+4x+5

Q: John invested his inheritance of $12,000 in three different funds: part in a money-market fund…

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Q: Which system of inequalities best matches the 10- purple shaded region? А. у 2 x? — 5х + 6, yS4-0.8х…

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Q: a b Show that W |a,b ER} is a subspace of M2x2. %3D -b a

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Q: f(n)=(n-1/2) (n-1/3) Its n-1 over 2 and n-2 over 3 Write the first six terms of the sequence…

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Q: Consider the following table: Possibilities for a Possibilities for b x -4 Possibilities for c…

A: From the given table

Q: A population of bacteria is growing according to the equation P(t) population will exceed 895. 400e0…

A: Given query is to find the time when population exceed 895.

Q: O Sobve the eava tíon X-6 上3 X-4 2x-1 243 4 Kt6 3. 2X-3 V-3 X-3 3D0 X+A 4 Xt6 -3 X-h 3.

A: This question can be solved using properties of determinant.

Q: Question The following table shows the rate R of vehicular involvement in traffic accidents (per…

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Q: 8-3 mult. 3, 0

A: Given  Zeros of a polynomial  -3 mult. 3,  0

Q: 7.3.1. Determine cos A for A = ( 2). -T/2 T/2 T/2 -T/2

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Q: Vx2-7х+16-у6 2. lim X→5 (х-5)/x+1

A: