1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

Q: II) Solve the following equations. 3) cot ¹(1-2)-tan-¹(x)= TT

A: Given data÷   cot-11-x-tan-1x=π4   Useful formula   cot-1x=π2-tan-1x So, cot-11-x=π2-tan-11-x

Q: Find the second derivative of the function. f(x) = x cos(x) f"(x) =

A:

Q: Use the rules of differentiation to find the derivative of the function. f(t) = 7t² - 9t-3 f'(t) =…

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: answer is in next step. please give a like!!

Q: Find the unit tangent vector T(t). r(t) = 1²₁ + tj + 201 k, T(5) = P(25, 5, 20/3) Find a set of…

A:

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: Solve the following equations. 1) tan² x + 2 secr-7=0 if ze [0, 2π) I

A: tan2x+2secx-7=0where x∈[0,2π)

Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6)

A: step 2 complete solution

Q: Solve the equation. Write the solution set with the exact solutions. Also give approximate solution…

A:

Q: Now integrate and simplify V = 2π 2x (64 V = 2π = 2π 16 = 2x [64. = 2π 3 4096 3 2 -√³ (8 2048 X T (8…

A:

Q: 2 Consider the function f(x) = x+61 3. (a) Find the domain of f(x). Note: Use the letter U for…

A: "since you have posted a question with multiple subparts , we will solve first three subparts for…

Q: State whether the given p-series converges

A:

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: A graphing calculator is recommended. Find the area bounded by the pair of curves. (Hint: Use a…

A: NOTE: Refresh your page if you can't see any equations. . using the graphing calculator, we need…

Q: Evaluate [ T 1-x² x² + y² dydx.

A:

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: g'(x) = g(x)=√x - Be*

A: Differenciate wrt x

Q: The price of a certain ice cream cone is increasing at the rate of 18e0.05t cents per year, where t…

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

Q: Which one of the following p-series is divergent? S 1 n=1 n√2 n=1 n=1 Σ 1 nπ/3 1 nπ/4 1 ne/2

A:

Q: 6. Which of the following differential equations is consistent with the following slope field? O O…

A:

Q: Determine whether the Mean Value Theorem can be applied to f on the closed Interval [a, b]. (Select…

A:

Q: Find a linear equation whose graph is the straight line with the given property. HINT [See Example…

A:

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

A:

Q: 14. Determine the line integral of a scalar function z = x cos y + In(xy) where x(t) = t² and y(t) =…

A: Given: scalar function z=x cosy + ln(xy)     where x(t)=t2 and y(t)=3+t   bounded by the region at…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

A:

Q: Find the exact value of the trigonometric expression given that sin u = - cos(u + v) Need Help? Read…

A:

Q: 24. Solve - A. B. 1 csc²0 de 25-16cot²0 4 cote 25 1 5 ·sin-¹ sin cote 25 +C +C C. D. 4 ---sin-cote+c…

A:

Q: can be solved using x² + 4 1. Integration Leading to Inverse Trigonometric Function/Ad II.…

A: The Solution is given below

Q: In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a…

A: The given function is f(t)=0.03e-0.03t The probability that a rat will learn its way through a maze…

Q: I) Given a triangle with interior angles a, 3,7, and opposite sides with lengths a, b, c…

A: SOLUTION   GIVEN DATA- a=1,b=6-22,γ=135°,α=?Interior angles-α,β,γ and opposite side lengths a,b,c…

Q: The total profit from selling x units of cookbooks is P(x) = (2x-2)(7x-8). Find the marginal average…

A:

Q: 1. The Laplace transform of a function f(t) is A) L{f(t)} = fest f(t)dt B) L{f(t)} = fest f(t)dt 2.…

A: 1. Ans:- option(B)

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

A: Topic = Derivative

Q: Use the integration capabilities of a graphing utility to approximate the volume of the solid…

A: we know that Volume of solid generated by revolving thr region about  x axis =∫ab  π y2 dx

Q: Question Given f(x)=√x+8, find f'(-7) using the definition of a derivative. Provide your answer…

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: 5). Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 +…

A: Let's find series converges or diverges by integral test.

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ –…

A:

Q: Find the curvature K of the plane curve at the given value of the parameter. r(t) = 8 +²³₁ t=2 11…

A:

Q: whether the series is convergent or divergent. 33-50 Determine If it is convergent, find its sum. 1…

A:

Q: nass function. a give Determine the value of c such that the function is a probability mass…

A:

Q: =P ( 1 + 2 ) " ₁ ~ , where A is the future value of P dollars invested at interest rate compounded…

A:

Q: A shopkeeper orders 30 pounds of cashews and peanuts. If the amount of cashews he orders is 20…

A:

Q: re of the distance from the source. Iwo point light sources with strengths of S and 273 are…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given that : y= 6x4 + 8x3 . We find intercept and maxima and minima and point of inflection and find…

Q: (b) If z = 9t²e 4t, find 4 dz dt

A: Given.

Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

A:

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A:

Q: Find the interval of convergence of the following power series. (x + 10) n η 8η 01-00,00) O(-18, -2]…

A: