Find the points on the lemniscate where the tangent is horizontal. 8(x² + y²)² = 25(x² - y²) y 0.6 0.4 2 Өс -2 -1 1 -0.2 -0.4 -0.6 2

Q: 15) if 2(6-x) >4 which will be trae an 1) x > 4 H T + d -20 2 4 2) x < 4 MAA -4 4 3) X <-4 < +) X <…

A:

Q: Question 19 y" +9y = 81x² + 14cos(4x)

A: The given equation is; y''+9y=81x2+14cos(4x).

Q: Simplify as completely as In e + 2 ln x possible. Write it as a single logarithm whose coefficient…

A: we will find the required.

Q: For all positive numbers xvand ywith y≠1 ln(y)/ln(x)​=log(y)/log(x)​ true or false or impossible…

A: It is true

Q: Which of the following statements is/ are true? (1) Every non-orthogonal set is linearly dependent.…

A:

Q: 1. Find for the following by implicit differentiation: dy dx 18x9-5 cot y = y² - 18x

A: Given:  1) 18x9-5cot y=y9-18x Implicit differentiation:    Differentiating on both sides…

Q: Use continuity to evaluate the limit. lim 9 sin(x + sin(x)) X→π

A: See this solution in below.

Q: For f(x) = 2√x and g(x) = xª + 6, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: The given functions, fx=2x and gx=x4+6. We have to find the required composite functions.

Q: Problem No. 1: In 2015, there were 233,040 Individuals living in Olongapo City. The population…

A: Problem No. 1: In 2015, there were 233,040 Individuals living in Olongapo City. The population…

Q: flt)=lt-3)²21lt-2)

A: f(t) = (t -3)2 21(t -2) f(t) = 0 t = 2, 3  These are the roots of the function. At these values f(t)…

Q: Question 8 Find the differential dy: y = In (sec² (3²-2+5)). O dy = 2 (2-1) In (3) tan (32²-²2+5) da…

A:

Q: Simplify the expression. Write the final form with no fractions. cos²x+1 2 sin²x +1= cos sin

A: We can simplify the expression in the below steps.

Q: Given g(x) = 3x57x4+2, find the x-coordinates of all local minima. If there are multiple values,…

A: We will use critical values to find minima.

Q: The accompanying figure shows the graph of a function ƒ(x) with domain 30, 24 and range 30, 14. Find…

A: We have to find the domain and range.

Q: 1. For 1. For all n > 2, ¹n(n) >2, and the series Σ converges, so by the Comparison Test, the series…

A:

Q: (a) Sketch the region, showing all intercepts, accurate to 0.001. (b) Write an integral that gives…

A: The red graph represents y = 4cos(x) the blue graph represents y = x^2 - 1 The shaded region…

Q: can you show A + 2B = 5 and 4A + b = 6 to get A = 1 and B = 2 in case 2,

A: Let's solve.

Q: A function h(x) = = Compute h'(3) if x-2 f(x) f'(3) = 2 and f(3) = 1. is defined in terms of…

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Q: A 81-inch by 216-inch piece of cardboard is used to make an open-top container by removing a square…

A: Given  length of cardboard (l)=216 inch width of cardboard(b)=81 inch   Let each side of the square…

Q: If y=In(e), then y' =1. True False

A:

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: Let, the number of Ancient History section=x,the number of Medieval History section=y,the number of…

Q: Evaluate the indefinite integral Answer: sin (In x) x dz.

A: The given integral is: I=∫sinlnxxdx   ...1   Use the common integral. ∫sinxdx=-cosx+C

Q: A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth…

A: Given: rt=22e0·05t To find the total number of cases of flu in the first t days we need to find…

Q: The volume of the solid generated by revolving the area in the first quadrant bounded by y = e + 1…

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Q: Find equations of the tangents to the curve x = 9t² + 3, y = 6t³ + 3 that pass through the point…

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Q: 3. Solve the following differential equations b) '' + 7 +12y = 3t2 - 73t ay = S 7 (0) = 1 (0) = 0 هد

A:

Q: Find the area enclosed by the function f(x) = cos x + sen x , the x-axis and y-axis . (note: cos…

A:

Q: How can exponential functions be used to model real life situations and describe the behavior of a…

A: Exponential Function:- The formula for an exponential function is fx=ax, where x is a variable and…

Q: Determine whether the following series converges. (−1)k+1 k⁹ ∞ k = 1 Let a > 0 represent the…

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Q: Use the Ratio Test or the Root Test to determine if the following series converges absolutely or…

A: We need to use the ratio test to test the convergence.

Q: = .. Find the tangent plane and normal line to the surface ƒ (x, y) : (1, 0, 1). xey at the point

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Q: 4. Evaluate [2²dr - zdy + 2ydz, where C₂ is the line segment from C₂ P(0, 1, 1) to Q(1,2,3).

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)      9x−3/2 dx       Evaluate…

A:

Q: Let f(x) = e* and g(x) = Inx. Then O(A) x ER such that f(g(x)) = g(f(x)) O(B) Vx ER, f(g(x)) =…

A: The answer is given below:

Q: On one set of coordinate axes, graph the family of parabolasf1x2 = x2 + 2x + c for c = - 3, c = 0,…

A: We need to graph parabola and describe characteristic.

Q: An object moving in a straight line with an initial velocity of 65 m/s undergoes an acceleration of…

A:

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: A. For each differential equation, give the dependent and independent variable(s), state whether the…

A: CONCEPT OF DEGREE:  The degree of the differential equation is represented by the power of the…

Q: Find the limit of the following sequence or determine that the sequence diverges. 3 3n 3 + Select…

A: Find the limit of the given sequence as n tends to infinity.

Q: The function f(x) 2x³ – 27x² + 84x + 3 has one local minimum and one local maximum. Use a graph of…

A: The given function fx=2x3-27x2+84x+3. We have to find the local maximum and local minimum values of…

Q: Consider the function f(x) = 12x5 + 45x4 - 80x³ + 1. f(x) has inflection points at (reading from…

A: We will find the required.

Q: 1. Find the divergence of F(x, y, z) = (ln(x + y) + 7, sinhy√1+yz, ze" − cos z) - π at the point…

A: Given vector:- F→x,y,z=lnx+y+xzπ,sinhy1+yz,zey-cosz

Q: Find all values of t in the interval [0, 2π] that satisfy the given equation. (Enter your answers as…

A:

Q: Solve the equation. Write the numbers using integers or simplified fractions. tan (-3x)=1 Part: 0 /…

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

Q: dx

A: See the details solution in below

Q: The graph of f(x) = -² 3r is shown alongside. a Use the graph to estimate the gradient of the…

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Q: rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The…

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Q: 19. Find the distance from the point (3, -2,7) to the plane 4x – 6y + z = 5. Show all necessary work…

A: A detailed solution is given below.

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = ( - 2, 0); P2 = (2, 4)

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Q: Question 18 (D³ - 3D² + 4) y = 4e* - 18e-x

A: