2 Graph g(x)=+3x-10 Clearly show all asymptotes, and the behavior of the function near the asymptotes. I

Q: Find the first partial derivatives of the function. f(x, y) = 3xy 11 11

A: Given: f(x,y)=3xy We are required to find: The first partial derivatives:fxfy

Q: Find the limit. (If an answer does not exist, enter DNE.) √x + 2-9 x - 79 lim X→ 79

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Q: Jse total differentials to solve the following exercise. A rectangle is measured to be 130 feet by…

A: Area of rectangular field is given as  A = xy  where x and y are the side length of the rectangular…

Q: Find the directional derivative of the function f(x, y) = ln (x+y³) at the point (-3,1) in the…

A: We need to find the directional derivative of the given function: fx, y=lnx4+y3 at point-3, 1 in the…

Q: Q.7. For what value of x is the following true? (Tip: You should condense the right side of the…

A: Given  :logx+9=logx+log9formula - loga+logb=log(ab)

Q: Find the Tangent line to elispe x2/40 + y2/40 = 1 at the the point (2, -(3)1/2).  a. y = 31/2x - 4…

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Q: Evaluate the integral. 1 √2-12 i+testi 2112 (10+7+3)2 dt

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Q: Evaluate this limit. lim x-4 2x² 12x + 16 x²-x-12

A: let C=limx→42x2-12x+16x2-x-12

Q: 1. What is the area of the shaded region shown? y 16 NOT TO SCALE y=16-x4 y=12-3x²

A: Given curves are: y=16-x4 and y=12-3x2 We have to find area between the curves.

Q: Find the slope at x = 1 on the graph of f(x) = 3x² - 5x + ln(x) The slope at x = 1 is

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Q: Consider the vector field F = π LF F. dr along the curve C: r(t) = 7 cos(t)i + 7 sin(t)], 0≤ t ≤…

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Q: Find the Maclaurin series of f(x) = 5*. Σ n=0

A: given function fx=5x To Find: Maclaurin Series

Q: Find the area inside the oval limaçon r = 7+3 cos 0. The area inside the oval limaçon is (Type an…

A: We have to find the area inside the polar curve.

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+z² = 31 дz əx дz…

A: x ln(y) + y2z + z2 =31

Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

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Q: If f(x) = 4 ln(5 + x), ƒ'(x) = ƒ'(1) =

A: f(x)=4ln(5+x)

Q: Use an addition or subtraction formula to find the exact value of cos 15° A B = = √A√B+1) 4

A:

Q: 23. S a+bx² /3ax + bx³ dx

A:

Q: 13. DETAILS LARTRIG11 3.1.502.XP. Use the Law of Sines to solve the triangle. Round your answers to…

A: C=94.35∘a=35c=50

Q: dz Find given: dt z = xe³y, x= t³, y = 3 + 6t dz dt 11 = Your answer should only involve the…

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Q: Find the Maclaurin series of f(x) = 3². Ma Σ n=0

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Q: tan(x) dx

A: We find integration of tan(x) in form of sine and cosine.

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 13 169-x2 S -13 0…

A: I = ∫-1313∫0169 - x2dydx The given integral represents the area covered between the intervals, 0 ≤ y…

Q: 12. A toy factory is trying out two different production methods. The rate of production (in toys…

A: A toy factory is trying out two different production methods. The rate of production (in toys per…

Q: .Evaluate the integral of (3x +9y) dx dy if the interior limits has an upper limit of y and a lower…

A: Let's consider the integral as given below: I=∫ab∫cdf(x,y)dxdy---1 Where f(x,y) is function of two…

Q: f(x)=√x 9(x)=2x (ftg)(x) =

A: F(x)=x3 And   g(x)=2x

Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

A:

Q: Profit is maximized when 3 units are produced and sold. To find the price, in dollars, where profit…

A: profit is maximized when 3 units are produced and sold

Q: ƒ'(x) = =

A: f(x) = 3x4ln(x)

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: Find the point on the sphere x2+y2+2²=100 that is farthest from the point (-14,15,-18).

A: Let farthest point on sphere px,y,z from point -14,15,-18By distance formula…

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

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Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

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Q: Consider the following vector field. F(x, y, z) = (3e* sin(y), 5e sin(z), 4e² sin(x)) (a) Find the…

A: F=<3exsin(y), 5eysin(z),4ezsin(x)>

Q: 3. The function v(t) = t² - 4 is the velocity of a particle moving along the x-axis, where t is…

A: Given :- The velocity function of the particle is vt=t2-4. a) The velocity function of the particle…

Q: Use the like-bases property and exponents to solve the equation 2n+1 2³n-3 n = =

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Q: Just as two points are two pieces of information that uniquely determine a line, a quadratic…

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Q: The table below shows values from the function f(x) = bº. Identify b.

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Q: a) If x < 8, then x − 3 ? 5. (b) If x ≤ 8, then 3x ? 24. (c) If x ≥ 3, then −3x ? −9. (d) If x <…

A: When the inequality is multiplied by a negative number, the sign of inequality changes.

Q: The x-intercept(s) of a rational function are determined by finding the zeros of the denominator.…

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Q: Let f(x) = 3 cos(-9x) Determine the derivative of f. f'(x) = Determine the slope of f at x = -5.…

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Q: Given Express using k and determine their type IF : a. kx 6.-^<k <1 C. K<-1 d. k=1 K²-x² 2 (x-1)² y…

A: SOLUTION:-   Given, function y=(k2-x2)(x-1)2 For finding the maximum and minimum points we need to…

Q: 44. dt cos²t√1+tan t CO

A:

Q: 8.3.15 Find and plot a particular solution of the following ODES and give all details for the…

A: We need to solve D.E. General solution of such D.E are sum of complimentary and particular solution.…

Q: Find the directional derivative of the function f(x, y) = ln(x + y³) at the point (-3, 1) in the…

A:

Q: Find T3(2): the Taylor polynomial of degree 3 of the function f(x) = cos(2x) at a = 0. T3(x) =

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Q: Use a left sum and a right sum with rectangles of equal width for the given value of n to…

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Q: The graph of y = f(a) is shown below. How could we restrict the domain of f(x) so that it is…

A: given function has domain [-7,5]

Q: Find the volume of the solid below the paraboloid z = 4 - x²-y² and above the region R = { (r,0), 0…

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Q: Find dy dx y [A] ₁-2y 1-e²y [B] y+1 1-2e²y [C] e²y + x = y 1 1-2e²y [D] y-1 1+2y [E] 1 Ti 1-ey

A: We can use the concept of implicit differentiation Given function e2y + x = y