Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy- 12=0, where x = -4. ... The y-values for which x - 4 are (Use a comma to separate answers as needed.)

Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: Question Select your answer. 3, Given f(x) : if I< -2 if – 2<a < 8 , estimate -2 I +3, if lim f(x). ...

A: Topic =Limits

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly repo...

Q: 1+x2+y2 Determine the set of points at which the function F(x, y) = is continuous. 1-x2-y2

A: In this we have to check Discontinuity of equation. 

Q: For each of the following pairs of functions f and g, determine if the level curves of the functions...

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Q: The local linearization, L(x) for the function f(x) = ln(x) at the point where a = 1 is given by L(x...

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Q: 1.80 Find an open cover of the interval (-1, 1) that has no finite subcover. Justify your claims. 1....

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Q: Use the Integral Test to determine whether the infinite series is convergent. n2 Σ n=19 (n³ + 3)7 To...

A: ∑n=19∞n2n3+372We need to find the given series converges or diverges

Q: Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1...

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Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: using the function given below evaluate the following

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Q: n(-7)" Use the ratio test to determine whether converges or diverges. n! n=7 (a) Find the ratio of s...

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Q: Use the ratio test to find the radius of convergence of the power series. 00 4x" Σ n=0 3" (n+ 1)

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Q: Find all the values of x such that the given series would converge. n=1 Vn +8 Answer: Note: Give you...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the exact anser for t and leave the answer with the logarithm in the answer. 40e−0.2t = 12

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Q: Find the Taylor series generated by fat x = a. f(x) = 9*, a = 3 Choose the correct answer below. 729...

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Q: O Find the set s on w/C fu (x) = x Sin converges pointwise. in Your answer Q2: Write your answer on ...

A: The given sequence of function,  fnx=x sinxn

Q: Based on the graph, fill in the table with the appropriate values lim f(x) f(c) -2 -1/2 1 3 4

A: Given

Q: (g) sin vt dt.

A: Intigrating the given equation. 

Q: 3. Below is his graph. Is his graph correct? If not, explain what mistake(s) he made. TO 8. Brian gr...

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Q: dx 3. S xVx-8 4. S-5 cos r sin 2r dr

A: ∫1x2+a2 dx =12atan-1xa+C ∫un du = un+1n+1+C

Q: I ... LL #3 The amount, A mg, of caffeine in the body t hours after drinking a cup of coffee can be ...

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Q: The following is the graph of a function f(x).

A: Given that: Graph of f(x)

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (b)  ...

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Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8, 3)...

A: Given query is to find the equation of the line passing through indicated points 

Q: 2. Define a set X as X = RU {-}. Define two binary operations over X as follows: Addition:x O y = ma...

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Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (a)  ...

A: Follow the procedure given below.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

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Q: Let  u = -5i + 3j + 3k, v = -4i + 3k and w = 3i - 4j + 3k. a) Find | -4u + v + j |.  b)Find the ve...

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Q: Find an equation of the plane that passes through P(4, 2, – 3) and is perpendicular to the line x+1 ...

A: Given that the plane is passes through the point (4,2,-3) and perpendicular to line x+1-3=y-12=z2

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: f(x) = -2x2-2x+4 is %3D x-1

A: Follow the procedure given below.

Q: lim (3+ 2)

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Q: 15 What is the exact value of tan (sinr) where r = 17? Provide your answer below:

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Q: Derivation of a formula of volume cylinder (using Calculus, in two different ways).

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Q: Find the measure of 4x. 134°

A: We need to find angle x.

Q: The temperature at a point (x,y,z)(x,y,z) is given by T(x,y,z)= 1200e^(−x^(2) − 2y^(2) - z^(2)) whe...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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Q: Find the Taylor series generated by f at x= a. f(x) = 2*, a = 1 Choose the correct answer below. O A...

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 1 S = n=5 n+1 n+ 2 where S...

A: Given: S=∑n=5∞ 1n+1-1n+2

Q: Find the convergence set of the given power series: 2" x" n! n=1 The above series converges for < x ...

A: Given:   Limit equations is given

Q: Consider the function f(x)=1/x on the interval x>=1. find the Surface area and volume of the solid f...

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Q: If c = 0.118, simplify the expression cos(cos-(c)). If undefined, enter Ø. Provide your answer below...

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Q: Evaluate cosh jin 3 decimal places.

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Q: (x – 2)(x + 2)(x +1) (x+ 3)(x+1)

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Q: Question Find far for f(, e tan(). Sorry, that's incorreci. Try again?

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Q: 20 Find the Maclaurin series for f(x) = - 1+x 20 What is the Maclaurin series of 1+x 00 Σ | (Type an...

A: We have to find the Maclaurin series for f(x)=201+x.