The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times the larger integer is a minimum what are the integers?

Q: Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S 8 - a) b) (s+2)2+16 2s2+18 (S-2)2+16 252418 c)…

A: 17) To evaluate: L(2e-2tsin 4t-0.5cos 3t)

Q: Find an antiderivative F(x) of the function f(x) = 7 sin(x) such that F(7) -9. F(x)= = = Now, find a…

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Q: or each function h(x), find two functions f(x) and g(x) such that h(x) = f(g(x)) a) h(x)=√x² + 3 b)…

A: Topic:- function

Q: C. Evaluads the Sum 20 [ (₁²+3) ² (

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Q: *2t-h 5 if t=2 then h = -1 true O false O

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Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

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Q: l₁: x = 7+2t, y = 2 + t, z = -6 - 3t y-9 Z-13 l₂: 3 - x = -5 -5

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Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

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Q: Evaluate the indefinite integral du =

A: The solution of the integral is given below:

Q: A particle is moving on a straight line with the acceleration and initial velocity a(t) = 2t - 2,…

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Q: Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result…

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Q: Evaluate sec(log x) -dx x In | sec(log x) + tan(log x) | +C 1 log e In | sec(log x) + tan(log x) |…

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Q: Show that: le a (i) a е a а al (2a +1)(1-a)2

A: Given :laaalaaal=2a+ll-a2

Q: d=(-3,-2) and 6=(2,4). Represent a-6 using the head-to-tail method. Use the Vector tool to draw the…

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Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 1…

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Q: Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

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Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: Consider the function f(x) 1 1-x²

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Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

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Q: 2. Brine containing 3 lb/gal of salt enters a large tank at the rate of 2 gal/min and the mixture…

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The area of the region that lies inside the cardioid curve r = cose + 1 and [(cose + 1)² = cos²0]de…

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Q: 2 S² T ㅠ 1-cos x dx 2

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Q: 5 n=1 (n-1)! (n + 2)!

A: We can say that if sum of the series is finite then the series is converge.

Q: Show that any subset of bounded set is bounded

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Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A: We have to find solutions

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: Jiven the differential equation statement. || ;;y(1) = π. Choose the correc dx 2y+cos y A. Solution…

A: We have to find the solution

Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized?

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Q: Cn = COS * ´π(1+4n)` 2

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Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: Differentiate the following expression: y = x² cos 4x

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Q: 2. A 6-ft tall man is walking away from a 15-ft post at a rate of 5 ft/sec in a straight line. How…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

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Q: Which of the following is an exact DE? A. (x² + 1)dx - xydy = 0 B. xdy + (3x - 2y)dx = 0 C. 2xydx…

A: Solution:

Q: Differentiate the following expression: y = x² cos 4x

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Q: If f(x) x²-4 x -4 x = In[sin x √x² - 4], what is f '(x)? + cot x cot x + tan x - tan x

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Q: 3) Given y(0) = 1 Over what area are we guaranteed a unique solution? Explain using existence and…

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Q: Solve step by step in digital format (2 + x)² − 4 d) lím x-0 X 6x² - 3x + 2 e) lím x-0 4x - 3

A: Given, Evaluate,

Q: Let ā= . Find a unit vector in the direction of a

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Q: 2. The values of g and g' are given in Table 6. -1 Complete the columns for g¹ and (g-¹). X 1 2 3…

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Q: Q22) The inverse Laplace transform of H(s) : = a) f(t) ==e¹+¹e²t 8 8 -3 c) f(t) == est +²e-2t 8 8 1…

A: To find the inverse laplace transform of givem function.

Q: a) yp (t) =) yp (t) = A cos (2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

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Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: # Determine whether the function z = f(x, y) = (why or why not) for for (x, y) = (0,0) (x, y) =…

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Q: t b) tz 16) L-¹ (5-3)²+25) = c) tz estsinst a) 5 d) t est sin3t 5 b) c) e-at sin3t 5 eatsinst d)

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Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: f is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an abso inimum value…

A: Topic:- calculus    Definition :-  Extreme Value Theorem   If a function f(x) is continuous on a…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: ff is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² — 11) = 2. x→2 True False

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