Show that xy4 lim (x,y) →(0,0) x² + y8 does not exist.

Q: Could you just a brief explanation of how each step is done?

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Q: -3 6-2x 5. f 2 dy dx 6. -2y 2²²(x² + y²) dx dy

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Q: Find the exact value of each expression, if it is defined. (If an answer is undefined, enter…

A: a) cos^-1(0) b) sin^-1(0) c) sin^-1(-1/2)   we have to find -                       there exact…

Q: a. The two-dimensional curl of F is b. The two-dimensional divergence of F is c. F d. F irrotational…

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Q: Perform the indicated operation and write the answer in the form of a +bi. (3+)-(4-5) O -1+6/ O 1+6i…

A: (3+i)-(4-5i)

Q: Find an equation for each line that passes through the point (4, 3) and is tangent to the parametric…

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Q: (b) Use l'Hospital's rule to find lim (e³ + 5)²/¹. 24X The functions f and g and their tangent lines…

A: (b) limx→∞e3x+52x (c) fx=3x-63gx=-x+6limx→∞fxgx

Q: The Computer Password As you enter the spacecraft, you look to connect your computer. To your…

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Q: Find the exact values of the following limits. Hint: Think about the relationship between the graph…

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Q: On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length 6 -…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Let R be the region between the graph of y = ln x, the x-axis, and the line x = 5. Which of the…

A: y=lnx and x=5

Q: Let f(x) = 2x³ − ²x² – 3 1. Find the first derivative of the function. (This function can be easily…

A: given  f(x)=2x3-12x2-3

Q: Enter the interval equivalent to 27

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Q: The function f(x) = C = - 8x² 48x9 has one critical point at x = c. Find it. - Use the second…

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Q: Choose the graph that matches the vector equation. r(t)=ti+tj+ tk, 0sts2 Choose the correct answer…

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Q: Given that f(x) = 4x2 and g(x) = 6 - x², calculate (a) f(g(0))- (b) g(f(0))-

A: The composition of the function f(x) and g(x) are: f(g(x)) and g(f(x))

Q: #3 please Find the convolution f(t) * g(t) in Problems 1 through 6. 2. f(t) = 1, g(t) = eat 4. f(t)…

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Q: Sketch the region of integration and change the order of integration. [['ax. no f(x, y) dx dy f(x,…

A: To sketch the region of integration and to change the order of integration. ∫05∫0yfx, y dx dy

Q: = Evaluate the following indefinite integral fx-¹5/2 dx +C

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Q: Write the first six terms of the binomial expansion of sqrt(1-x)

A: The general form of the binomial is: (x+y)n where x and y are variables, n is a positive integer.…

Q: 3.4.1. Using Definition 3.35, prove that each of the following functions is uni- formly continuous…

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Q: Find the limit, if it exists for: lim h-0 f(7+h)-f(7) h 01 0-1 01 O does not exist for f(x) = -x + 1

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Q: Stan 5x sec ³x dx

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Q: 1 For what value of x does the function f(x) = x³ - 4x attain the absolute maximum in the interval…

A: Using the first and second derivative test we are going to find the absolute maxima.

Q: Exercise 20. Let F be an Archimedean ordered field. Show that k+1 1 == . lim k→∞o 3k 3

A: Let F be an Archimedean ordered field.  To show that,  limk→∞ k+13k=13

Q: Step 1: Solve each equation for its independent variable and match it to its corresponding graph.…

A: Equation of parabola x-52=-16y+4

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Είναι Σ ΟΞΟ…

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Q: Evaluate [yds, C: x=ť²₁ y | ds, C : x = t², y=t, −3 ≤t≤6

A: ∫Cy ds C: x=t2, y=t, -3≤t≤6  To evaluate the integral.

Q: Find the integration factor of (3 xy +64²) dx + (2x²gxy) dy zo

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim n-00 00…

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Q: Simplify -2√-36. O -72i O -12/ O 72i O 12/

A: The expression is given by -2-36 To evaluate: The simplified form of the expression.

Q: Charging the Capacitor Having stabilized the fuel, you look to your computer for next steps. You are…

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Q: Find the volume of the solid generated when the region bounded by y = 4x and y = 12√√x is revolved…

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Q: The Leaning Tower of Suurhasen is a medieval steeple in Suurhasen, Germany. The tower leans at an…

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Q: �=-1cos-π6=-cos2π how did you get the cos2π

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Let R be the region bounded by the following curves. To find the volume of the  solid generated when…

Q: Estimate the area, A, under the graph of X on [1, 5] by dividing [1, 5] into four equal subintervals…

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Q: You can use any software to draw the graphs asked below. For each problem, sketch the curves of the…

A: Note:-As per the company's guidelines, we are supposed to solve the first question for you, kindly…

Q: Consider the equation y=x^3-16x^2+2x-4 a. Determine all intervals over which the graph is concave…

A: For a function y = f( x ) For concave up f''( x ) > 0 For concave down f''( x ) < 0  Given…

Q: Multiply and write the answer in the form of a + bi (3-2)(3+2)

A: Given;

Q: Evaluate the indefinite integral. (Remember the constant of integration.) 6+z5 36z+z dz X

A: I=∫ 6+z536z+z66dz

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D.…

A: As per as our guidelines i can answer only one question please repost remaining questions.

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Determine el siguie cos(x) - e* 1-e* lim X-0

A: The given limit is limx→0cosx-ex1-ex. We have to find this limit.

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 4,    f '(0) = 2

A: f''(x)= sin(x) + cos(x) , f(0)=4 ,f'(0) = 2

Q: Use the parametric equations of an ellipse to find the area that it encloses. Area = x = a cos(0), y…

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Q: If g(x) = 3x - 7 and h(x) = (fog)(x) = 9x² - 42x + 49, then f(x) Using g(x) and f(x), determine…

A: Given: g(x)=3x-7h(x)=(fog)(x)=9x2-42x+49 We are required to find: (gof)(x)

Q: 4.find the distance between parallel planes x+2y-2z=3 and 2x+4y-4z=7

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Q: 8. Evaluate the triple integral of xyz dz dy dx for the following limits: z from 0 to y, y from 0 o…

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Q: The function f(x) = log16(x) is the logarithm function with base So f(16) = , f(1) = f(256)= , and…

A: f(x)=log16xfprmula of log function (i)  logaa=1(ii) logxn=nlogx(iii) log1=0