Determine the exponential function given the graph. ... B = (-1,4) A = (1, 1) -4 -3 -2 -1 2 3 4 -1 f(x)=2x

Q: 6. Find the sum of the series (-1)"-1 (-1)"72n 4" (2n)! nen n=1 2 3

A: We have to find the sum of given series.

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (6, -9)

A: Line integration

Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -5] A = –1 1.5 0.25 1.5 C 4 B = -3 2.75 0.1 3 -7 -0.5 1…

A: 1. The given matrix is A=2-1-11.5-32.75-0.51. Find the transpose of A.…

Q: x - 2)4 in the Taylor serie: 3 log x - log x2 about x =

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Q: (x – 2)? – In x = 0, [1,2] %3D

A: Ques: use bisection method, to find the solution to the following within 10^−6 for f(x) = (x-2)² -…

Q: Find (AB)d If A = 40 6 2 1 2 1 0 0 B= 3 0 0 0 3 0 0 0 3 and d = 2 1. Select one: O a. 36 42 O b. 60…

A: We can find (AB)d . firstly we can find AB and after that we can find (AB)d.

Q: A B 9. Which figure comes next in the series? A B C D of

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Q: Q2/ By using partial method solve fx² In x dx

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Q: 1. Find the DIFFERENCE between Matrices H and E. That is: [H] – [E]. Name it, "Matrix I". 2. AUGMENT…

A: (a) find the difference between matrices H and E given…

Q: Determine whether (p → q) ^ [(q ^ ¬r) → (p v r)] is a tautology, contradiction or contingency by…

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Q: Show that the following method is convergent, and determine it's global order of accuracy. 1 At Yn+1…

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Q: dy Use implicit differentiation to find dx 46 x° + sin y=x y ..... x* (4y8-5x) cos (y)-6yx dy dx

A: Your written answer is correct!   Given expression is x5 + sin(y) = x4y6

Q: At what time between 8 and 9 o'clock will the minute hand coincide with the hour hand? A. 8:42.5…

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Q: dx Evaluate the improper integral x(lnin x )²

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Q: Assuming a,b, y1,y2,y3 are all dimensional vectors, order matric A= (a,y1,y2,y3), B=(…

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Q: In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize…

A: Sol

Q: (1) Prove that the funetion f(r) =! is not uniformly continuous on (0, 1). (Hint: find two sequences…

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Q: 1. Find the Mclaurin Series expansions of cosh(x) up to fifth order.

A: Let fx=coshx

Q: Add the vectors ú (0, 3) and v = ( – 2, – 1) graphically.

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Q: Denote that G is a parametric curve x(z) = z2-z-2 y(z) = z²-=2+z Calculate whether if G is concaving…

A: Sol

Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(1)…

A: Given, the velocity function            f(t)=e-t22 , 0≤t≤4, for n=60

Q: 15. xy' = 6y + 12x*y %3D

A: We have to solve the given differential equations.

Q: Using Bisection Method, find the root between O and 2 for f(x)= (x^2) - sin(x) - 0.5 until the error…

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Q: Calculate F-dr in the case when F(z,y) = (7y - sin (y) + 8)i+ (72 -e cos (y))jis conservative, and A…

A: Given that: F=7y−exsiny+8i+7x−excosyj and, rt=2tsinπt2i−π2sinπt2j for 0≤t≤1

Q: (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. A.) Approximate the value of…

A: This is a problem of Numerical Analysis.

Q: 120 FIK)T log, =x, express log in terms of x

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Q: Answer the followng muitiple-chaice awestion below algebra S-24 #16. W = d.s are real numbers Then a…

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Q: )4 in the Taylor -g x - log x2 abor

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Q: Solve the wave eguatan 4au in R (3-4) with indtral data uiçol=3r ir, 0) = 0 .

A: The given wave equation is  utt=4∆u=4urr with initial condition ur,0=3r, utr,0=0.

Q: Joel is considering putting a $4800 laptop purchase on his credit card, which has an interest rate…

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Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 5 5 -5+ -5+

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Q: Find the area of the shaded region. The image is not to scale. y= y=- Consider c=64. Enter the exact…

A: We want to find area of shaded region.

Q: After depositing an initial amount of $17,000 in an account that eams 7% interest compounded…

A: Given,Annual Rate of deposits=2800-400tInitial amount(P0)=$17,000Rate of interest,r=7%To find: a)…

Q: make an example and prove it about five vectors spanning R⁴

A: Given: Five vector spanning R4  We need to form an example and prove the given statement 'Five…

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x + y Subject to: 2x +…

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Q: va

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Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

A: The volume of solid of revolution about y-axis of y=fx and y=0 for x∈a,b is: V=∫ab2πx fxdx Now, we…

Q: dy = y² + 2yt +t² – 2y – 2t – 1 dt a. Find a change of variable that transforms the equation into an…

A: given differential equation dydt=y2+2yt+t2-2y-2t-1 (a) find a change of variable that transform the…

Q: What is the volume of the solid formed by revolving the region bounded by y? and a = 6 about the y…

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Q: 6. Find L{f(t)} for the following periodic functions. S t, b. f(t) = 1 2n – t, 1<t < 27 0 <t< T f(t)…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) + 8x + 7) dx

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Q: 12.2.7. Suppose that Q := {(x, y) e R : x > 0 and y > 0} and that f is a continuous function on R?…

A: Sol

Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: Consider the differential equation. (x + y)dx – xdy = 0 With the initial condition that y=1 and when…

A: We can solve this using Euler method

Q: Consider the differential equation (10x*y4 +e-y + 3 sin(4x + 3y))y' + (6x²y³ + 4sin(4x + 3y) + 2) =…

A: Exact differential equations

Q: Q1\calculate x1, x2, xn from the following equations: -3x1 + 9x2 + x, = 2 5x1 - 2x2 + 3xn = -1 2x1 -…

A: Given equations are-3x1+9x2+xn=25x1-2x2+3xn=-12x1-x2-7xn=3x1, x2, xn are calculated by using…

Q: Verify that Stokes' Theorem is true for the vector field F 6yzi – 3yj + rk and the surface S the…

A: given vector field F=6yzi^ -3y j^+x k^ and the surface S the part of the paraboloid z=18-x2-y2lies…

Q: Let the function ƒ : [0, 1] →R be defined by { if x = ! (n = 1, 2, 3, · · · ) f(x) = n 1– x2…

A: Given :  f : [0, 1] →ℝ  defined by ;              fx = ex2,if  x=1n    (n=1, 2, 3, ...…

Q: A study showed that every 100 grams of red meat consumed per day increases the risk of colorectal…

A: Given: 1 in 20 American men will develop colorectal cancer in their lifetime. To find: 1) Write the…