A mailing service places a limit of 96 in. on the combined length and girth of (distance around) a package to be sent parcel post. What dimensions of a rectangular box with square cross-section will contain the largest volume that can be mailed? (Hint: There are two different girths.) The dimensions are x = and y = ▪▪▪ D PRO TERMEN QUAN K y

Q: State the definition of the derivative of f at x = a. (b) Use this definition to find f ' (4) where…

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Q: 36. Given that 3x√x² + 4 dx = 5√5 – 8, what is S₁3u √/u² + 4 du?

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Q: Find g[f(-4)]. 2 f(x)=x²-1; g(x) = -5x-1 g[f(-4)] = (Simplify your answer.)

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Q: Let lim f(x) = 8 and lim g(x) = 6. Use the limit rules to find the following limit. x-2 X-2 lim X-2…

A: given, limx→2f(x)=8  and limx→2g(x)=6let   B=limx→2f(x)+g(x)4g(x)

Q: 2. drde 3. dzdydx

A: we are allow to solve first question only. If you need rest of solution then please upload them…

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: fx=-x4+16x3-16x+19

Q: For the following function find (a) f(4), (b) f f(x) = 4x² - 40x+97 (a) Find the value of f(4).…

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Q: (9) Express the domain of f(x) = log(2x - 4) in interval notation. A (0,2) B (-2,00) C (2,00) D…

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Q: A conical frustum is created by taking a cone and slicing the top of the cone off parallel to the…

A: A conical frustum is created by taking a cone and slicing the top of the cone off parallel to the…

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives f…

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Q: 5.) Determine the convergence or divergence of the series Σ n(" + ¹) n n=1

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Q: 1. For the following systems with repeated real eigenvalues, find the general solutions: 1 -2 (₁) x²…

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Q: 10. Calculate (a) 3 (b) 0 (c) 15 lim x⇒1 (d) 13 (e) does not exist x18 - x3 x5 - 1

A: We are required to find the value of : limx→1x18-x3x5-1

Q: 3. Use the properties of determinants (not the co-factor expansion) to show that 1 x x² 1 y y²…

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Q: Find the area under the function f(x) = 3 x² -2 from x=1 to x=2 06 05 3 O none of these answers

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Q: Let bbe as convergent positive series. Which of the following test is successful for determination…

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Q: 4 3 Evaluate F F - dr along the curve C: 7 (t) = 3 cos(t)i +3 sin(t)j, 0≤t≤. 4 Consider the vector…

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Chris Lynch plans to invest $400 into a money market account. Find the interest rate that is needed…

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Q: f(x) = 3x² + 5x -6 find f'(x) 6x-6 O 3x-5 O 6x +5 none of these ansswers

A: The given function fx=3x2+5x-6. We have to find f'x.

Q: 3 2 f (x² + 1) 2x dx O (2² + 1) + c (x² + 1) + c none of these answers O integration is not possible

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Q: -)Test for Convergence:7n¹⁹ +797n³ −104n² 8n22 n=1

A: ∑n=1∞7n19+797n8-104n28n22

Q: Find the unit tangent vector T(t) for r(t) = 2ti + 3tj + 6tk at t = −2. ○-4i-6j-12k ○_1 O 3 :- i- 49…

A: To find the unit tangent vector T(t), we first need to find the derivative of r(t): r(t) = 2ti + 3tj…

Q: Evaluate the given integral by changing to polar coordinates. Double integral D (x) dA, where D is…

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Q: Solve the following IVPS using the table of Laplace transforms and the properties of the Laplace…

A: According to our company's guidelines I can only answer first question. So for rest of the solutions…

Q: none of these answers O (4+2x+y)/(y-x) O (-4-2x-y)/(2y-x) O (4 +2x+y)/(2y -x)

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Q: Sketch the graph of a function g that satisfies the following conditions: ˆ g(0) = 1, g(2) = −1, and…

A: here,     at x = 0, g(x) = 1;   at x = 2, g(x) = -1;   at x = 3, g(x) = 1;

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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Q: Matrix A is factored in the form PDP

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Q: 38. If i f(x) dx = 12 and f f(x) dx = 3.6, find f f(x) dx. 39. If(f(r) dr 4

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Q: Sketch the graph of y = sin(x) in the interval -720° < x < 720°.

A: To plot the graph of sin(x) over [-720o,720o].

Q: Find the values of a and b for which g(x) is continuous for all x. -5 if x < -1 ax+b if -1 < x < 1…

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Q: √√² zdy + ydz, where C is the arc of the curve y = e² for 0 ≤ ≤5 Find Calculator Check Answer

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Q: 14. Find g'(2), given f(8) = -4, f'(8) = 1, and f (x³) (a) 1.5 (b) 1 (c) -1.5 (d) -7 (e) 7 g(x) = x

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Q: s) Let f(x) = ³√x. (a) Use linear approximation at x = 1 to approximate f(0.6)= 30.6. The Linear…

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Q: (4) Write the equation (in slope-intercept form) of the line passing through the point (2,3) that is…

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Q: (6) Given the function f(x) (4) (-2) = = 1 x +3 and g(x) = x², find: (fog)(x) = (gog)(x) =

A: Given f(x)=1x+3  and g(x)=x2, we need to find:

Q: 15-18 Express the limit as a definite integral on the given interval. 71 15. lim x, In(1 + x²) Ax,…

A: We have to express the given limit as a definite integral.

Q: Consider points P, Q, R, and S. Suppose that u =PQ, v = QR, -59 u = RP, and 52 v = PS. a) Are P, Q,…

A: We are given points P,Q,R,S such that   u=PQ→, v=QR→, -59u=RP→, 52v=PS→ Also find order of points on…

Q: A motion is defined by the following parametric equations. x = -sin(t), y = 2cos(t), -πst≤ π (a)…

A: These are multiple sub parts and we can do maximum 3 sub parts so i am doing first 3 sub parts here.…

Q: Find the indefinite integral and check the result by differentiating. [2x (x²+6) dx 6 [2x (x² + 6)…

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Q: Find the value of dy/dx2 at the point defined by the given value of t. x=ty = St, t = 3 잉 0 굶 눕

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Q: Find the divergence of the vector field F div F-

A: F¯=&lt;yx4,xy6&gt;

Q: Consider the following. 32 [²³ 0 4 2x + 1 dx

A: Given,         ∫03242x+1dx

Q: Evaluate the definite integral. /2 x² sin x 1+x6 -π/2 dx

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Q: Practicing Checking answers Graph by factoring and find x y-intercepts  y=2x3+3x2-3x-2 Find…

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Q: A. The function f(x)=√x² + 1 has a critical point at x =

A: according to bartleby guide line we do only first part of multiple questions. (A)  given,…

Q: 1/3 Given the curve xy¹/³ +y = 10, find the slope of the tangent line at the point (1,8). [C] 25 [A]…

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Q: ( Finangal Formulas A = Pet mt t A TF $1400 is inverted at 5.6%. M @ what is the amount in the…

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Q: Find all functions f(t) with the following property. f(t) = f'(t) = t 7

A: given,  f'(t)=t76