Find the horizontal asymptote(s), if any, of the curve f(x) = (x-x+) -16 Select one: Ⓒ x = 4, x=-4 O y = 1 None of these y = 4, y = -4 O O x = 1

Q: 2x² sin x + 3y³ 3x³ + 2y² lim (x,y)→(0,0) if we approach along y-axis, we will get Select one: True…

A: This question is based on two variable limits.

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…

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Q: (hex) = (7x-6x³) 9 2) 3) x+1 x-1 x√x+1

A: Find the derivative

Q: a) Find the integral / r(t)dt. b) Find parametric equations for the tangent line to the given curve…

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Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

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Q: Which of the following is a valid triple integral? ⒸSS ſo ſh(e) (5) f(x, y, z) dzdydr h(y,z) flus) f…

A: We have to discuss about valid triple integral.

Q: √x +3 If f(x, y) = xy + 7 the domain of f(x, y). Select one: True False then the point (1, −7) is in

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: π/2 The integral f/2 So sin drde is equal to cos O-1/2 O 1/2 0 1 00 10

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Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: A graph of a model for the sales of services between 2004 and 2008 by a leading global provider of…

A: We have to find the solution of given question.

Q: If f(x, y) = √6xy - 4x + 30y then fa = Select one: O True O False -4√6xy+3y √6xy

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Q: The limit lim (x,y)→(4,-5) exists and equals to Select one: O True O False 25x²-16y² -5x-4y -40

A: Given the limit is  limx, y→4,-5 25x2-16y2-5x-4y.

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: Evaluate √xdx f 1+x

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Q: Question 22 A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of…

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Q: Rewrite the expression as an equivalent expression that does not contain powers of trigonometric…

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Q: If f(x, y) = A In (x² - y) -x+y+1 O {(x, y) x² > y, {(x,y)|x² ≥ y, ○ ○ {(x, y) x² > y, | then the…

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Q: Question 23 Find the length and width of a rectangle that has an area of A square centimeters and a…

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-8x³ +95x² +16x-194 4-9i is a zero…

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Q: π/2 The integral f/2 So sin drde is equal to cos 0 O-1/2 O 1/2 0 1 00 10

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Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

A: The given function,  fx,y=x2ye5y8x4+7y2

Q: Find the gradient of the function at the given point f(x, y) = 5x + 4y² + 1, (1,4) Vf(1, 4) =

A: Solution of given question is written in below steps.

Q: Let f(x) = X x - 3 g(f(x)) = and g(x) = 4 X Find the following functions. Simplify your answers.…

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Q: Question 1 function r(t) = (tª In 1, ¹2³, −3e¯³¹). a) Find the integral r(t)dt. b) Find parametric…

A: Here, r(t)=t4ln t, t-32,-3e-3t

Q: Relative to an origin O. the points A. B. C have position vectors i. J+k. i+j+0k. respectively. The…

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Q: Evaluate the limit: lim, ∞ ○-6 00 ○ 6 e 10-00 최승

A: This question can be solved using the concept of L hopital's rule.

Q: 12. Show that the general linear demand function D(p) = a - bp, where a and b are positive real…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Find a normal vector to the level curve f(x, y) = c at P. X = x² + y² P(5, 5) f(x, y) = C = 100

A: To find the normal vector.

Q: 1= z In zdz

A: Given, ∫ xlnxdx

Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

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Q: Consider the infinite series > Evaluate the first four terms of the sequence of partial sums. k=1…

A: Given that infinite series       ∑k=1∞1k+3       We have to evaluate first four terms of the…

Q: The limit: does not exist Select one: O True O False x² - y² lim (z,y) (0,0) 4x + 4y

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Q: Solve the initial value problem: y(x) 5x dy 6y√x² + 1 = 0, da y(0) = -5

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Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

Q: e the figure to answer the questions. point A point B B point C point D point E y C D (a) At each…

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Q: Evaluate the geometric series or state that it diverges. 5k E •(-4)* Σ 5 k=1 Select the correct…

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos² (2x)…

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Q: The graph shows the ellipsoid x² + 4y² + z² = 16. Use the graph to determine the equation of the…

A: The given data is: x2+4y2+z2=16 Let  fx,y,z=x2+4y2+z2-16 Now, fx=2xfy=8yfz=2z

Q: √x +3 xy + 7 y). If f(x, y) = the domain of ƒ(x, Select one: True O False then the point (1, −7) is…

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Q: 4. (x² + y²)dx − 2xydy = 0

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C None of the choices cos" (2x)…

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Q: Evaluate: S 2y+3 (y-1)(³-1) dy ○ − In\y − 1| − § (y − 1)³ + ½ In|y² + y +1| - arctan (√3(2y+1) ) +…

A: To evaluate: I=∫2y+3(y-1)(y3-1)dy=∫2y+3(y-1)(y-1)(y2+y+1)dy=∫2y+3(y-1)2(y2+y+1)dy

Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5y² Find the domain of f. Show that the limit…

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-4x³+27x² +8x-58 2-5i is a zero…

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: Find the limit of the following sequence or determine that the sequence diverges. {tan - 1 (₁ -1…

A: Here we have to find the limit of a sequence.

Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips 8 6 4 2 (1.95, 7.07 0.5…

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