answer is partialy Answer the questions for the following polar equation. 3 r = 1- cose (a) Identify the conic as a parabola, an ellipse, or a hyperbola. The conic is a parabola (b) Find the eccentricity and vertex (or vertices). Eccentricity: e = %3D Vertex (vertices) in rectangular coordinates: (-1.5, 0) (c) Choose the correct granh of the equation

Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: Given problem:- Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in…

Q: Which among the choices is NOT true about the continuity of f(x)? if x 1 X, メ, 2 f(x) = (2 – x), O…

A: Solution

Q: 3) Fiad fue area of the reigon bounded by the goaphs of algebraic functioans. tue the +6, g(d) =0,…

A:

Q: Let F(t) = Find a parametric equation of the line tangent to F(t) at the point (111, 648, - 4.394)…

A: Let r→t=4t3+3, t5+5t4, -2 ln3tTo find the parametric equation of the line tangent to r→t at the…

Q: Evaluate the iterated integral. /4 y cos(x) dy dx 地

A:

Q: Waste Management Company wants to construct a dumpster in the shape of a rectangular solid with no…

A: We need to find dimension.

Q: 2) Find of the following equation then simplify whenever possible. and dx dx2 x = 1+ Sin t y = Cos?…

A: The given parametric equation,   x=1+sin t, y=cos2t

Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 9t: r(t) = e"i+ etj

A: r(t)=e9t i +e-t jr'(t)=9e9t i -e-t j||r'(t)||=81 e18t+e-2tr''(t)=81e9t i +e-t…

Q: Find the terminal point Q of the vector v = 7i-j+3k given the initial point is P(-2, 3, 5) О (5, 2,…

A: In this question we have to find the terminal point of Q.

Q: y²- 4y + 2x = 0, x = 2 and x-axis

A:

Q: Describe the graph of the equation. r = 3cos ti - 4 sin tj +k O An ellipse in the plane x = 1,…

A:

Q: Sketch the region R and evaluate the iterated integral F(x, y) dA. (1 - 2x + 8y) dy dx 2.0- 2.0 1.5…

A: A detailed solution is given below

Q: integrate (2x + sqrt(x)) dx from 3 to - 6 A. 27 +2√3+4√6 B. 27 + 2√3 C. 27 - 2√3+ 4√6 D. 27-4√6

A:

Q: What is the differential equation whose solution represents the family y = Ae3x + Be 3x+Ce4x? %3D O…

A:

Q: 2. The volume of the sun is 1.4 x 10 cubic kilometers and the volume of the earth is 1.1 x 102 cubic…

A: Earth mass

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain.

Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

A: Information of the function is given, we have to find the required values

Q: Зх -5 dx (x+1) (x+2)²

A:

Q: Using an appropriate substitution, cos x-sin x the integral 3. dx equals: 0 cosx+sin x O none of…

A:

Q: POSSIBLE P 20 22 24 26 28 h(x) 10 14 11 17 15 9. The table above gives select values of the function…

A:

Q: cos(2x)– cosx sin x 4. lim, »o

A:

Q: Find y': y = /5+ 2x – x² - 1-x O y = V5+2x-a2 1 O y = 2/5+2x-a2 7-2x O y = 2/5+2x-a²2 O y = /2 – 2x

A:

Q: Let i 1 and i and let w = ü x v. Answer the following: 5 Find w. Give your answer as a vector in the…

A: Givenu=0i+j+5kv=-2i+4j-5ka)Givenw=u×vw=ijk015-24-5w=i(-5-20)-j(0+10)+k(0+2)w=i(-25)-j(10)+2kw=-25i-1…

Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

A:

Q: Find the area of the region bounded by the given equations. Clearly state the integral(s) used to…

A:

Q: let f be the function given by f(x)=kx/(x^2+1), where k is a constant.  For what values of k, if…

A:

Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: Find f, and f and evaluate each at the given point. F(X, v) = arctan). (2, -2) f,x, y) = %3D X, v) =…

A:

Q: dx Ух — 12

A:

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 3. f(x) = v2…

A: If function 'f' is differentiable at x=c the f'(c) is the slope of the tangent of the function at…

Q: please

A:

Q: Solve the initial value problem y′′−6y′+9y=0 for y(0)=1 and y′(0)=3. After getting the particular…

A:

Q: lim (t i - 6 j +1° k). -5 (t i – 6 j + r² k) = i i+

A: Topic:- limit and calculus

Q: Determine the interval (s) on which the vector-valued function r(t) = ti + Vt + 1j + (t2 + 1)k is…

A:

Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

A:

Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

A: Here, the amount of the clay is fixed. dVdt=0...(1) Now, the volume of the cylinder is given by:…

Q: -2x 3. lim, 0 sinx

A: This is a problem related to limit of the function. Based on the general formula and concepts we…

Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

A:

Q: fast is the area of the rectangle changing at the instant when the other side is 12 cm and…

A: Topic:-  application of derivatives and geometry

Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

A: We have to find the meaning of C'(2000).

Q: Evaluate

A:

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: The surface area of a spherical snowball is increasing at a rate of 9 mm²/min. Find how fast the…

A:

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: 5.) Matching : Match the terms at the right with the best term on the left that matches it. Secant…

A:

Q: | x(x + 10)" dx

A:

Q: 1 Given that 1 > x" with convergence in (-1, 1), find the power series for with center 1- 9x4 n=0 0.…

A:

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

A: