What is the length of the latus rectum of; 4x² +9y² + 8x - 56 = 0

Q: f(x) x+5 x-7 The domain is a E for co) . (Enter the domain as an interval. Use U for union and oo

A: Given query is to find the domain of the function.

Q: 3. Two forces F, and F₂ push on an object with an angle of 70° between them. If F=170N and the…

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Q: a lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline…

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Q: Find all the second-order partial derivatives of the function. r(x,y) = In (4x + y)

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Q: I'm not sure I can read the answer correc

A: If f 'x>0 then fx is increasing.If f 'x<0 then fx is decreasing.

Q: Let s= f(x, y, z) and x = the following pieces of data do you NOT need? Ox(2, 5, 1) = 6 Of(6,9,7): =…

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Q: Find all the second-order partial derivatives of the following function. w = 6x sin (8x²y)

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Q: c) lim X->>0 d) lim X->0 5 COS X ·coc 5+ sin x 6 4+ex ?

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 Σ(-1)…

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Q: If D(p)=5400-60p and S(p) = 400+40p are demand and supply functions, respectively, find the…

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Q: Evaluate the integral. BeBy S 4+eBy dy

A: We can answer the given integral in the below steps.

Q: Sketch a graph of f(x)=x+1 1 -5 -4 -3 -2 -1 5 4 3 2 1 -1 1 if -1 1 2 3 4 5 -3 -4 -5 Clear All Draw:…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Use the graph to investigate the following limits. (For each limit, enter an integer. If an answer…

A: limx→af(x) exist if limx→a-f(x) =limx→a+f(x)

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Graph the line containing the point P and having slope m. P=(-2,-5); m = - OA Q 53 OB. -10 > S O C.…

A: we need to find the graph which has slope=-1/2 and has the point (-2, -5)

Q: The instantaneous slope of f(x) (when f(x) is a polynomial) Hint: 120 GO f(x)=x²-2x - 5 compute the…

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Q: answers, so please show all your work. You do not need to fully simplify your work. 1 y=r³ sin r 22

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Q: 5. Let f(x, y) = 3 xy³ x² + y6 (a) 0 (b) 1 (c) -1 (d) 1/2 (e) Does not exist. Find lim f(x,y). (x,y)…

A: The point (0,0) can be reached along so many different paths. If each path results in a different…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the 19 tar 9 2…

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Q: Given the equation y = 4 cos (7x - 21) + 6 The amplitude is: The period is: The horizontal shift is:…

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Q: 3. Assume that f(x) is continuous on [a, b] and x1, x2,...,n are arbitrary numbers taken from [a,…

A: The given data is: Assume that f(x) is continuous function on a,b and x1,x2,........xn arbitrary…

Q: Consider the following equations. y = x² - 4 y = -x + 3 x = 0 x = 2 Sketch and shade the region…

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Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² - 4x…

A: Given data: f(x, y) = 2x² + 3y² - 4x-8, g(x, y) = x² + y² ≤ 16

Q: Evaluate the following definite integrals. 1. ¹₁ (2x² – x³) dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: Learning Target DC3: I can compute derivatives correctly for trigonometric functions and…

A: (1) y=sec(x)d dx(secx)=secxtanxd dx(sinx)=cosx d dx(tanx)=sec2xd dx(xn)=nxn-1d dx(x)=12x

Q: (a) f'(-3) (b) f'(-2) (c) f'(-1) (d) f'(0) (e) f'(1) (f) f'(2) (g) f'(3) y = f(x) 1 0 X

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Q: Question 13 The best substitution to be used in S√√4+ √ædx is Oy=√x O y¹= = x y = 4+ x O tan² 0 = √

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find approximate values for f' (x) at each of the x-values given in the following table. Use a…

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Q: Set up the definite integral that gives the area of the region. Y1 = 5(x³ - x) y2 = 0 L₁5(x³ - x) dx…

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Q: Test the convergence of the following series: (a) n=1 n+2" n²2" (b) 00 COS (nπ) n

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: The given function fx, y=x2-y2 subject to the constraints x2+y2=81. We have to find the maximum and…

Q: If y = √√√2-3x², find encl sack the third derivative.

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Q: Evaluate the integral. In 9 Se ex In 5 dx

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Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

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Q: Use washers to find the volume formed by rotating the region enclosed by: 21.6 x 10 and y = 0 y =…

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Q: Find the limit 13 a) lim x-3 X+3 2 x 9 c) lim X->0 3-) 2 b) lim (6x² - 6 cos x) = 17² ? X->0 2 5 COS…

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Q: Let f(x) x = 0. = sin (7x) + cos(14x) + e³. What is the slope of the tangent line to the function at

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Q: Graph the polynomial function f(x)= -2(x-2)(x²-25) using parts (a) through (e). (a) Determine the…

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1 = C₂= C3=…

A: Given function:- fx=sinx

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 3xe + 4y + 7

A: Here is the solution:

Q: Find the center of mass of a thin plate of constant density covering the region bounded by the…

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Q: = [5,-3] and q.= [1,4], find | p - 5q |

A: Given query is to perform indicated vector operation.

Q: If z = x² + xy, where x = uv² + w and y = u + ve", then: [80] u=2, v=-3, w=0

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Q: Use the graph to find the indicated limits. Step 1 of 3: Find lim f(x). x-1 -10 -5 -10 Enable…

A: Find limit

Q: Evaluate the integral: [V4 Ox= √4x² 2x² -dx (A) Which trig substitution is correct for this…

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Q: Write an equation of the circle with center 4,-5 and radius 12

A: Given query is to find the equation of the circle.