Find the limit lim (I,y) → (0,0) Along the path y=x: Along the path y = -x : Calculator lim (z,y) → (0,0) 8x5+y5 lim (z,y) → (0,0) Check Answer 2x5+ sin5 y 8x5+y5 5 2x5+ sin y la lim (z,y) → (0,0) along two different paths. No decimal entries allowed. 2x5 8x5+y5 + sin 5 Y 2x5 + sin5 y 8x5+y5 # Address

Q: Suppose that • The Demand Price Function is p = D(x) = 120 -0.02x. • The selling price has been…

A: A)) To find the corresponding demand for the selling price of p = 60, we can set p = 60 in the…

Q: Select the correct choice below and fill in any answer boxes within your choice. OA. There are local…

A: Given function  f(x,y)= x2 + xy + y2 + 2x - 5y + 4

Q: •) and (4,2). 3 Find the distance between the points with polar coordinates (2,

A:

Q: Use the fact that (a) (b) 1 (1-x)² = 00 n = 1 00 1 ΙΣ (7) 10 10 n = 1 n 9 00 n 1 10 ÷ ℃ (²)² = 11 11…

A:

Q: has two solutions. The smaller is 22x5×2x+6=0 and the larger is

A:

Q: Find an equation of the tangent line to the curve at the given point. (Round your coefficients to…

A: given, y=x2-2xpoint is (2,0)

Q: 10. Find lim n→∞ n-3 n+3 4n

A:

Q: Use cylindrical coordinates. Evaluate JJJ. √x² + y2 dv, where E is the region that lies inside the…

A: Triple integral having √(x2+y2) dv  Region x2+y2=9 and plane z=3 and z=4

Q: Estimate the integral Väda using a left-hand sum and a right-hand sum with n = 3 subdivisions. NOTE:…

A:

Q: Evaluate the integral. - In 2 S - In 10 C 2e° sinh Ꮎ ᏧᎾ

A:

Q: Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the…

A: To solve the following

Q: 3/41 x² 3/5 √2x³-1 dx.

A: Consider

Q: lim (1 t→∞ 12 2 t2

A: Consider

Q: Consider the vector field F(x, y, z) = (6y, 6x, −z). Show that F is a gradient vector field F = VV…

A: The given vector field is:F(x, y, z)=6y, 6x, -z

Q: Consider the following double integral: 12 1 = [[y²e dy dx 0 2x 1) Sketch the region of integration…

A:

Q: City A is due north of City B. Find the distance between City A(43°3' north latitude) and City B…

A:

Q: (b) L-¹{12} 8²-68+12}

A:

Q: Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's…

A:

Q: [3] The area of a circle is increasing at a rate of 8cm³/sec. How fast is the radius of the circle…

A:

Q: Suppose that the equation x'+sin(z+y)-2zIn(x) -1=0 defines z as a differentiable function of the…

A: Equation: x3+sin(z+y)-2z2ln(x)-1=0 We have to find ∂z/∂x at (1,0,0).

Q: b) x-8 and the 10th term is p² x18 The 5th term of a geometric series is where p > 0. i. Find the…

A:

Q: Q2.1 If f'(c) = 0, then f has either a local maximum or a local minimum at x = c. True False Q2.2 If…

A: Three statement is given. Say about the statement is true or false.  Statements are,  2.1 if f'(c) =…

Q: Sketch the graph of the following function Paint 0≤t<π/2 π/2 ≤t≤T f(t) = period ㅠ

A:

Q: Problem 4. Find the area of the surface of revolution generated by revolving the plane curve y=2 x…

A:

Q: Find the function f(x). 15 COS(EZ) 3 r5 * ƒ(x) dx = [In(x) · cos

A:

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0≤ 0 ≤ 2π, and 0 ≤ y ≤ T.) (a) (0, 6,…

A: The rectangular coordinates.

Q: 1 | lff ( x ) = = 3² 3 ² - 2²/ 4 4 -x4--x³+60, then what is the set of x values for which f has a…

A:

Q: Question 6 Line ₁ has equation y = 3x + 8 Line 2 has equation y = -7 - 2x Lines ₁ and 2 intersect at…

A: We are given: That the lines l1: y=3x+8   andl2: y=-7-2xintersect at point C and we need to find the…

Q: 4) You drop a basketball from a height of 20 feet from the roof of a building, and let it fall and…

A:

Q: r(t) t t² + 1

A:

Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: cos2t+3= Scost

A: cos 2t +3 = 5 cos t

Q: Find the most general antiderivative of the function g(x) where 1-√x+2x4 (a) g(x) = x2 (b) g(x)=2e*…

A: (a)

Q: At a price of x dollars, the supply function for a music player is q = 80e0.005, where q is in…

A:

Q: Please solve the third kne

A: Evaluate the integral  ∫tan6(3x)sec6(3x) dx

Q: 37. (6x² + 2) dx S x² + 2x - 3

A:

Q: Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R =…

A: The given plane is:3x+2y+z=12The region in x-y plane is:R= (x, y) | 0≤x≤1,  -4≤y≤4

Q: Find an equation of the ellipse drawn below, then find its foci. 1 x Select one: O a. (x²/4) +…

A: The given graph of ellipse is:

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. dx 2 1…

A:

Q: Which of the following is true about the characters of the following series? 1) Σ=1 2n+2 n+n² III)…

A:

Q: Use the formulas given below to express sech logarithms. sinh-lu= In (ut Vữ +1), uis 2 any real…

A:

Q: Problem 3. Find the arc length of the semicircle y-√√9-x from (√5, 2) clockwise to (√5,2). (cf. page…

A:

Q: Suppose that the equation x² + y² + z²-4e2-xey = 0 defines z as a function of the variables x and y.…

A:

Q: 15. (x² + 3x - 44) dx (x+3)(x + 5)(3x − 2) S

A:

Q: Is (r¹ + 13x² - 14) + (x² − 1) in Q[x]?

A: Since we are given with the multiple number of question and our guideline is solve first question

Q: . Find the constants a and b such that the function 6, x 5-1 f(x)= ax+b,-13 is continuous on the…

A:

Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 + cos y 1+ sec y

A: The given trigonometric expression is 1+cosy1+secy. We have to rewrite the given expression.

Q: What warehouse club sales does your model predict for 2020?​​​

A: The equation for a Warehouse clubs sales is y=2090x+6740

Q: Use the reduction formula from Exercise 62 to find cos ³ x dx.

A: Given data:- ∫ cos3x dx

Q: Use L'Hopital's rule to evaluate the following limit. The format below allows you to enter the…

A: