For a science experiment, a student is throwing a watermelon from a cliff. The height of the watermelon can be modeled by the function h (t) = -4.9t² + 12t + 150, where h (t) is measured in metres, and tis in seconds from the time it is thrown. What is the average rate of change during the time interval of 2 and 3.5 seconds after it is thrown? a) 0.07 m/s b) -0.07 m/s c) -15.0 m/s d) 15.0 m/s

Q: Find a basis for the subspace spanned by the given vectors. What is the dimension of the subspace? 2...

A:

Q: Consider the set V of all vectors of the form (x y 2} where x, y and z arereal numbers 3. Show that ...

A:

Q: Q1) find the Laplace transforms of the periodic function defined by f(t) =t/2 0<t<3 f(t+3)=f(t) all ...

A: Introduction: A periodic function is a function which assumes same value after a certain interval. F...

Q: Use A= {5, 6, 7, 8, 9} and B= {1, 7, 8, 9} to find the set AN B. ... ANB= } (Use a comma to separate...

A: Given A = {5, 6, 7, 8, 9} B = {1, 7, 8, 9}

Q: Financial analysts forecast Safeco Corp's (SAF) growth rate for the future to be 8 percent. Safeco's...

A:

Q: Chooes A and B are positive semi'definite matri ces then the eigen values of A•B are all non negati ...

A:

Q: 3. Which sentences below are paradoxes? • This sentence is false or 1+1 = 2. • This sentence is fals...

A: The given problem is based on paradox theory. Mathematical Paradox is like the self contradict state...

Q: Consider the set V of all vectors of the form (x y 2) where x, y and z are real numbers 3. Show that...

A: A vector space (oe linear space) V over a field F consists of a set on which two operations (called ...

Q: 3. Use Euler's method to approximate the value of = -2x3 + 12x2 - 20x +8.5 from x = 0 to x = 4. The ...

A: Since you have asked multiple questions, we can solve first question for you. Also first question ha...

Q: If AB = [0], then A or B is a zero matrix. .. True False

A: We have to find that if AB = [0]  then A or B is a zero matrix is true or false

Q: S2Vædx

A:

Q: 0 0 0 A =3 3 0 3 3 0 has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic ...

A:

Q: Which of the following is the solution of the given system below? X3 + 5x4 = 0, X3 + 7x4 4x1 + 2x2 –...

A:

Q: The Sine series of the function defined over the interval [0, 7] by ƒ(x) : = Tx is given below (-1)7...

A: The main objective is to sketch sine series graph of f(xand 

Q: Simplify down to a single integral in terms of . .3 /9-x² 63–42²–4z² Volume = 1 dy dz dx = Σ da. V9-...

A: ∫-33∫-9-x29-x2y3x2+3z263-4x2-4z2dzdx

Q: cos (z)–2 cos(z)–3 cos²(z)–1 Determine the asymptotes of f (x) on the interval 0sxs 27. %3D a) There...

A:

Q: 3 The cofactor of the (2,3) – entry of| is 2 -6 -7 5 0 4 4 -2 -6 -3 3

A:

Q: 6 households earn $12, 2 households earn $2, and 2 households earn $4. What is the share of total in...

A: Households in total is 6+2+2=10 40% of 10 Households is 4 Top 4 Households earn $4+$2=$6 Total incom...

Q: A large hotel chain needs to apportion 22 new surfboards for its visitors to rent among three hotels...

A:

Q: determine the laplace transform of the functions 1.  24x^6

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: If f(z) = ev8=rl then the simplify form of f(z) is: A) f(z) = ie-2vz B) f(z) = -i e?v2 C) f(z) = e?v...

A: Given function is fz=e8−πi. We have to find the simplify form of fz. We know that eix=cosx+isinx Now...

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A:

Q: A nonhomogeneous differential equation, a complementary solution ye, and a particular solution y, ar...

A: General solution = Complementary function +Particular solution

Q: The ordered pairs (0 , 5000) and (10 , 13591.41) represent the value of an investment at two differe...

A: Given: The ordered pairs (0 , 5000) and (10 , 13591.41) represent the value of an investment at two ...

Q: 3. The system of equation 1x + 2x* + 3ху + 0.y %3D6 2x + x² + 3xy +1.y 5 х -х* + 0.ху +у%3D7 (a) has...

A:

Q: Use Gaussian elimination in matrix form to solve the system. x + 2y – 4z = 5 2x + y – 6z =8 4x – y –...

A:

Q: Suppose that ) an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 In an (a)...

A:

Q: _, b = a = 16

A: For a right angled triangle, using the Pythagoras theorem, it can be written that: h2=p2+b2, where h...

Q: Vhich sentences below are paradoxes? • This sentence is false or 1+1= 2. • This sentence is false or...

A: Given statement are The sentence is false or 1+1=2. The sentence is false or 1+1=3. The sentence is...

Q: Can you help me find the correct solution for this problem? 1. Find and classify any stationary poin...

A:

Q: If AB = [0], then A or B is a zero matrix. ... A True B False

A:

Q: Let f(x) x2 and for each real number n > 1, define the function 1- |æ| In (x) = 1 – n (i) Find the a...

A: The given functions are: fx=x2gnx=1−1−xncx=1

Q: The processing time for the robogate has a normal distribution with mean 23 sec and standard deviati...

A: Given: The mean of the processing time μ=23 sec The standard deviation σ=2 sec.

Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. ... True False

A:

Q: 2) Find a value of c for which f (x) is a pdf on the f(x) = cx + x², [0. 1]

A: Introduction ∫-∞∞fxdx=1 The total area under the curve fx of pdf is 1.

Q: [9] Find standard matrix representations of the following linear transformations from R? into R?: (a...

A:

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A O (A)° = A – int A (ii...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: -shows the results of the ballots. = Votes 10 8 14 M V V V M V M M

A: Given, The results of ballets are shown for choosing a new company logo. The options are mop (M), a ...

Q: d) Asses whether the solution you got consist of two linearly independent functions.

A:

Q: i Apply Green's theorem to eve luate S [rex=y)dx +Cx+g)dy], where C is the bocundaug qxis aiad the u...

A:

Q: 6. -2 Use Gauss-Jordan Method to find the inverse of -4 1 1

A:

Q: Find a general solution to the given differential equation. 25w +60w' +36w 0 A general solution is w...

A: Solution

Q: here are two numbers a and b. (a>0 and b<0). We know the sum of a and b as S(S = a + b). What is the...

A: This is a problem of multi variable calculus.

Q: -1] -1 01 3 31 [4 The (1,2) – entry of 5 0 is l2 1 2

A: We want to find (1,2) entry

Q: A preferred stock from Duquesne Light Company (DQUPRA) pays $3.55 in annual dividends. If the requir...

A:

Q: For a square matrix A, AAT = ATA. %3D A) True False

A: We have to find the given statement is true or false.

Q: 0 0 0 A =3 3 0 3 3 0 has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic ...

A:

Q: If f: (a,b]-R has a local minimum at pe (a,b) and f is differentiable at p, then prove that f'(p) = ...

A:

Q: dy 2. 32 +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx ...

A:

Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. (A True B False

A: