Find the eccentricity of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. 2 1/2 2√7

Q: Find the differential dy of the given function. (Use "dx" for dx.) dy =

A:

Q: ind an equation for a parabola with focus (- 10, 7) and directr

A: We are asked to find the equation of the parabola.

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A:

Q: Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden…

A:

Q: Let C be the parametric curve defined by x(t) = t2 – 2, y(t) = t³ – 3t + 1. Determine if C is…

A:

Q: S 7" Зи + 12 1 8.

A:

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

A:

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

A:

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: Graph÷

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

A:

Q: In order to evaluate Vr2 – 10x + 29 dx, the correct substitution is Ox=-5+2 tan(t) Ox=2+5tan(t) Oa =…

A:

Q: Find the area enclosed by the given curves a) y=x^3, y=-x, x=-1, x=1 b) y=x, y= -1/x, x=1/e, x=e

A:

Q: A ball is thrown vertically upward from the top of the house 112 ft high with an initial velocity of…

A:

Q: A line is parameterized by x = 5 + tand y = 6t. (a) What part of the line do we get by restricting t…

A:

Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: Use the mean value theorem to prove the inequality for all a and b: |sina – sinb| < |a – b|.

A: Let, f(x)=sin x then the function is continuous and differentiable for all the real numbers hence on…

Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

A:

Q: Current Attempt in Progress Evaluate the definite integral. e i + e='j+t k )dt

A:

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

A:

Q: S The flux is

A:

Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

A:

Q: Find the center of x 2 + y 2 - 10x - 8y + 1 = 0. (5, 4) (-5, -4) (-10, -8)

A:

Q: Consider the parametric curve defined by x = t – 7, y = t* + 13t. What is %3D - the slope of the…

A:

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A:

Q: Find the local linear approximation L (x) of the function f(æ) = 5 – a² at x= 2.

A:

Q: Suppose that she applied a force of 20N to push the object for 50m as shown below. If e = 45°, then…

A:

Q: Evaluate y' of the given functions: xy² = x²

A:

Q: Sketch the graph of the cardioid r = 1 + cosθ and the circle r = 3cosθ. Shade the region that is…

A:

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: 2 Compute limx→16; 1-x2 1 X-1

A:

Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

A: We have to explain given statement.

Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

A:

Q: A ball is thrown vertically upward from the top of the house 110 ft high with an initial velocity of…

A:

Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: Name:Y Varner 1. Find the antiderivative of the function |4x – 2x² + x – 5 dx Jar - 20* 2. Evaluate…

A:

Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

A:

Q: A 17 cm x 11 cm open rectangular box is to be constructed by cutting square corners out of a piece…

A: Let the sides of square be x cm then the dimensions of the box will be as follows Dimensions of box…

Q: 2. DETAILS LARAPCALC10 4.R.086. Find the derivative of the function. 8 In

A:

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6

Q: Question 7 Find the volume of the solid that results when the region enclosed by the given curves is…

A: We need to find volume of enclosed region.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=21-22, x-axis, y-axis and y=20 revolved about y-axis.

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: Solution

A:

Q: Find the sum 11-"+2.6"+1. (Hint: Use Geometric Series)

A:

Q: (2 1 Q2) find eigenvalue eigenvector of A x(0,0) = (1,1)

A:

Q: Cot h. q(x) = ニ

A:

Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.