find the equation of the tangent line to the graph of the logarithmic function at the point (1,0) y=lnx3

Q: is xZ dz dx dy

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Q: The radius of a sphere was measured and found to be 6 cm with a possible error in measurement of at…

A: Let V be the volume and r be the radius of sphere

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

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Q: (V3, 1,0) and v = (1,0, v/2) is The acute angle between the vectors u = a) O b) A O d) None of these…

A: Given problem:- The acute angle between the vectors u = (√3, 1, 0) and v = (1, 0, √2)

Q: Find the radius of convergence, R, of the series. (x + 4)" R Find the interval, I, of convergence of…

A: The given series,        ∑n=1∞n6nx+4n

Q: Q2) Find the integral value for the following functions (choose five only): 3x dx 1. JJ+3x2

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Find an equation of the tangent to the curve at the given point. x = 8 sin(t), y = t2 +t, (0, 0)…

A: The given curve,x=8 sin(t), y=t2+t at (0,0)

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: Use the first fundamental theorem of calculus to find F'(x) F(x) = cosr' dt

A: In this question we have to find F'(x).

Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: B) Find for the Implicit function: dy dx x² – sin(xy) + y? = 5xy

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

A: If f(x) and g(x) are continuous on [a, b] and g(x) < f(x) for all x in [a, b] then the area…

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim r14 (Yx+5)-3

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Q: B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

A: The given equation is; x2-sin(xy)+y2=5xy.

Q: 5" converge or diverge? Does the series n= 1 Choose the correct answer below. O A. The series…

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Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

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Q: Suppose that f '' is continuous on [1, 3] and f(1) = 3, f(3) = −4, f '(1) = 5, and f '(3) = 4.…

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Q: dx 4. S x2Vx2-1 e Cos-1x 5. S 6. Se sin(In x) dx V1-x2

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Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

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Q: 1. Find the particular solution using the Initial condition. xy'-y x.y(1) 7. Finally, sketch a slope…

A: Follow the procedure given below.

Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x--4 x2-2x x+4 2.…

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Q: 3 dx x? + 9

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Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: Determine which expression is the correct rationalization of the numerator of Vx+1-5 x+ 24 x+1 +5 x-…

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Q: 1(10,15) 2. An ant farm population is growing at a rate of g()=15e and declining at a rate of…

A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the…

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Q: Question Find dy and evaluate when x = -2 and dx = 0.5 for the function y = 10 sin (9x). %3D (Enter…

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Q: 4. coth(ln x)

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Q: Find the area inside the loop of the following limacon: r = 8 – 16 sin 0

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Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: On the region x2 + y° 0, y > 0, the function f(x, y) = xy has O a) its absolute maximum of 6/3 and…

A: To find the absolute maximum  and absolute minimum of the function f(x,y) in the given region.

Q: Find the area of the region bounded by: r 98 cos 20

A: Solving

Q: 1. Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5. Sequence 1 Sequence 2 Ordered Pairs

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Q: Find for the Implicit function: dx x2 – sin(xy) + y? = 5xy

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Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

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Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: For each interval, choose the option that best describes the graph of f on that interval. from x=1…

A: We will use the given graph to solve this question. If the value of the function is increasing when…

Q: 14. E sin x dx cb

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: Suppose we are given an integral of the form f f(g(x)) · g'(x) dx. We can transform this into…

A: The objective of the question is choose the correct option.

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: This question can be solved using the formula of arc length.

Q: What is the volume of the solid formed by revolving the region bounded by 10y = a? and 10æ = y?…

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Q: b) Solve the given homogeneous differential equation subject to the indicated conditions. y" + 2y' +…

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Q: Find the area of the region bounded by: r 9 cos(80) 0 < 0 < 2T

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Q: The spread of a highly contagious virus in a high school can be described by the logistic function…

A: Given problem:- The spread of a highly contagious virus in a high school can be described by the…

Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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