Evaluate the following limit: x²e³-y²e lim (x,y) →+(2,2) √√²ey-√√y²e² O O O 4e √3e² 2e4 √2e² The limit does not exist.

Q: Find the smallest number n of terms needed to obtain an approximation of the series 10-5. Hint:…

A:

Q: Problem Number 3 Find the slant asymptote of f(x)

A: The function is fx=x2-4x-1.To find : Find the slant asymptote of the given function.

Q: The graph of y=f'(x) is given along with its 1st and 2nd derivatives (no sketch required) f(x)=…

A: as per company guidelines we can solve only first three subpart when multiplie part question being…

Q: Use the graph to estimate the death rate for 60-year-olds. Assuming that there were about 14.2…

A:

Q: Please help me find cosh(2) and cosh(0)

A:

Q: incorrect

A: We have to find the position equation using the velocity equation.

Q: Solve the following equation 1- dy dx 11 x3-3yx2 x³-y³

A: To solve the following differential equation. dydx=x3-3yx2x3-y3 Note: Since the student has posted…

Q: dewisprod.uwe.ac.uk/cgi-bin/nobody/2022-uwe/z/ufmfk9_15_2gcet/a01_feb/the_questions.cgi The…

A:

Q: Find the volume of the given solid. bounded by the cylinder x² + y² = 16 and the planes y = 2z, x =…

A: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=2z, x=0, z=0 in…

Q: 1. Given points A(2, 4, -1), B(1, 7, 5) and C(6, -2, 5) determine each of the following: a)…

A: The given points are:A=(2, 4, -1)B=(1, 7, 5)C=(6, -2, 5)

Q: The graph of f" is given in the figure below. Draw graphs of f and f', assuming both go through the…

A:

Q: Consider the integral [(In(a))¹ da.

A: ∫lnx4dx

Q: 24. yIn(cos5 (3x¹))

A:

Q: Find the equation of the line tangent to the graph off at the indicated value of x. f(x)=4-7 Inx; x…

A: We know that the equation of tangent line is given by y-y1=mx-x1 where m is slope.

Q: What is the angle between the given vector and the positive direction of the x-axis? (Round your…

A:

Q: Find a function f(x) such that ƒ'(x) = 3x² + 6 and ƒ(0) = −2 f(x) =

A: given   f'(x)=3x2+6 given  f(0)=-2 formula used (i)  ∫xndx=xn+1n+1+c(ii)  we know f'(x)=ddx(f(x))

Q: Evaluate the integral. 1 3л 3л SS S y cos zdx dy dz 000

A: Integration

Q: Calculate the iterated integral. •3 π/2 3./0 (y + y² cos(x)) dx dy

A: Calculate the iterated integral

Q: Given (1, 1) is a point on the base graph of f(x) = x5 and g(x) = -(x + 1)5 - 5, find where the…

A: Given: Point (1,1) is on the base graph f(x)=x5g(x)=-(x+1)5-5   We are required to find: Co…

Q: Let G be a function whose derivative is shown below. Assume the domains of G and G'are 8 4 0 z # X

A: at x = 4 , G'(x) = 0 hence function has minima at x = 4 ∫04 G'x=G4-G0…

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate. (a) Find the volume…

A:

Q: Find the demand function for the marginal revenue function. Recall that if no items are​ sold, the…

A:

Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one…

A: sin(Θ)=19 Find the angle Θ between 0∘ and 180∘ satisfying the given equation.

Q: 27. y = 2e*√√x

A:

Q: Let A = 1 - 100 2-100 0010 -1 1 0 1 Which of the following statements is true: 1. The columns of A…

A:

Q: y = √sin(7x + In(5x))

A: We know that the derivative of x^n=nx^(n-1) So derivative of sqrtx=1/(2sqrtx)

Q: 2. the line x = 3. Non-Calculator: Let R be the region in the first quadrant bounded by the graph of…

A:

Q: In a biology experiment, let N(t) be the number of bacteria in a colony after t hours, where t = 0…

A: N(t) = et ,

Q: Determine if y = ²x − x + 1 is a solution to y' - 2x = −3+ 2y. - Select the correct answer below: O…

A:

Q: Sketch the level curves f(x, y) k. = k of the following functionsfor the indicated values of…

A:

Q: Evaluate the double integral. JS. 7x cos(y) dA, D is bounded by y = 0, y = x², x = 5

A:

Q: Evaluate the following limit tan(3r³+3y³) lim (a)-(0,0) 62³ +6y³ O O O O O 1|2 2 0 + 32²-3y The…

A: In this question we will approach origin  from both axis and then check the value of limit. If value…

Q: LB = LC = C = a = 25, b = 17, LA = 111° X X° X

A:

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

A:

Q: A company has 1800 dollars to invest, which must be divided between capital expenditures and labor.…

A:

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.28x +…

A: Tootal expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.28x +…

Q: Use Cramer's Rule to solve the following system of equations. Write each answer in simplest form. 9x…

A: 9x-y=87x-6y=5

Q: 7 = (–9,6, –1) ≤ R³

A:

Q: Set up all surface integrals required to integrate on the boundary of the solid whose volume is ² f1…

A: SOLUTION:-   Given, integral, I= ∫-11∫x21∫01-y1dzdydx   We need to evaluate the above integral and…

Q: Identify which step is incorrect in graphing g(x) = -2(x-1)4-1 Step 1: Shift right 1 unit Step 2:…

A:

Q: Solve log_(4)x+log_(4)(x-1)=2. Round to the nearest thousandth.

A:

Q: Problem Number 12 Determine the vertical asymptotes of f(x): = 3x-2 x(x - 5)(x + 3)

A: function f(x)=3x-2x(x-5)(x+3)

Q: 24) In terms of m and n (with 1 ≤ m <n), find a formula for: n Σi². i=m

A: In terms of m and n with  1≤m&lt;n, to find a formula for the following expression. ∑i=mn i2

Q: 1. Show that In(x² +1) x² +1 - dx = πln 2.

A: We need to prove the given integral

Q: Use the divergence theorem to evaluate the surface integral S is the solid bounded by the paraboloid…

A:

Q: 8. Set up an integral in spherical coordinates for the volume above the cone z = /x² + y² and under…

A: Set up an integral in spherical coordinates for the volume above the cone

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A:

Q: Find an equation of the curve whose tangent line has a slope of f'(x) = 3x -6/7 -6/7 The function…

A:

Q: You were given the function f(x) = 5x² + 10 and asked to determine the intervals on which the…

A:

Q: 9. Evaluate each limit, if it exists, using any appropriate technique. 16 - x² 14x3+64 a. lim x²16…

A: