Find the equation of the line that satisfies the given conditions. (a) Write the equation in standard form. (b) Write the equation in slope-intercept form. x-intercept (1,0); slope 3 The standard form of the equation is (Type an equation. Type your answer in standard form.)

Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

A:

Q: What is the domain of this function? (assume there are arrows at the ends of the graph The answer…

A: We have to find the solution

Q: pop. The results of the survey are illustrated in the partially completed Venn diagram below U A P…

A:

Q: Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1)…

A:

Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

A: Given :∑k=1∞5kk!

Q: this problem, x = C₁ cost + C₂ sint is a two-parameter family of solutions of the second-order DEX"…

A: Given differential equation x''+x=0and   general solution  is    x= c1 cos t + c2 sin t

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: The average value of a function S(t) from t=a to t=b is found with the integral  1b−a∫abS(t)dt.

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

A:

Q: Solve the given initial-value problem. dx y - X= = 5y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given that,   ydxdy-x=5y2, x(8)=1

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A:

Q: A thermometer is taken from an inside room to the outside, where the air temperature is 10° F. After…

A:

Q: A dragster races down a 400 m strip in 8 s. Its distance, in metres, from the starting line after t…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: و - هاد -3 10) dy dx 1 x cos y

A:

Q: Jasmeen asked 48 people if they preferred M&M's or Smarties. • 31 people liked Smarties • 16 people…

A: To find the error and correct Venn-diagram.

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Here we use kirchoff  voltage rule to  write the differential equation

Q: Which of the following is not a hypothesis of the Integral Test? Assume f(x) is such that a = f(n).…

A:

Q: Which of these series, if either, diverges? 8 LΣ(1) 11. Ž(-1)^ (77) K²-1 k+1 k k=1 k=1 A. I only B.…

A: We need to choose correct option.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A:

Q: Which of the following is a graph of F = (1, 0, 0)? O

A: To find out the correct option.

Q: (m) X 1 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of…

A:

Q: Question 1. Compute the dot product of the vectors u = (2,0, -3) and v = (1, 4, 2), and also find…

A:

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 C. 7x D. 14

A:

Q: The graph of 5% = where x > 0, lies entirely to the right of the y-axis O below the x-axis above the…

A: Given: Graph of the above is,

Q: Determine whether the series converges. The series diverges. O The series converges. 1 Σ V/24 - 1 2k…

A: We can see that k is in the denominator.

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

A: Use simple DE method..

Q: a/ the point (-2,-2√3) It is the Cartesian re ion of representation the polar vector (4, II) 3

A: Above question is solved.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: Use the disk method to find the volume of the solid generated when the region bounded by y = 8 sinx…

A:

Q: If h(x) = x(2x + 7) 4(x - 1)², find h'(-3).

A:

Q: Find the radius of convergence and the interval of convergence. k (x+2)* k= Radius of convergence:…

A: First i I have find the Radius of convergence using formula and then find the interval of…

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ *** 4 16 +

A:

Q: Q3/ Determine the particular solution of the equation 4-3=9 given the boundary conditions the dx x =…

A: Given differential equation d2ydx2-3 dydx=9at x=0 , y=0 and  dydx=0

Q: Find the critical points of the function f(x, y) = x^3 − 3xy + 8y^3 Use the Second Derivative Test…

A: Solved below.

Q: 9. Itan tan-¹ √u √u du

A: Given∫tan-1udu

Q: B. Use Green's theorem to evaluate f (x²y)dx + y² dy Where C is close path formed y = x and y = x³…

A: This is a problem related to integral. Based on the general formula of green's theorem we will…

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: 9) xdy- ydx = (x² + y²) e* dx

A: Let's solve given diffrential equation.

Q: Integrate: f'(x) = 4x¯½. A. 2√x + C B. 8√x + C C. √x + C D. -√4x + C 2

A: Integrate: f′(x) = 4x-1/2

Q: Which test would you use to determine whether -3.2 n converges? n=1 A. The series is geometric with…

A: Given :∑n=1∞n-3.2

Q: 27 Y = A tru ® Erro

A: The range of the basic arctanfunction is -π2<arctanx<π2Therefore the range…

Q: x = 5 is a solution to the equation x^(3)-4x^(2)-2x -15 = 0 Find the other solutions with the help…

A:

Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

A: In this question,  will form the differential equation by eliminating the arbitrary constants from…

Q: If 2x2-3y2=5xy, then find dy/dx | x,y=(2,-4)

A:

Q: Find the differentiation and provide complete solution a. y= cos3x2 b. f(t)=sin34t

A: a) y=cos3x2 On differentiation: dydx=-sin3x2×3×2xdydx=-sin3x2×6xdydx=-6xsin3x2

Q: Determine whether the statement is true or false. 5 x | xEN and x is odd} Is the statement true or…

A: Ν is set of natural numbers.

Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

A:

Q: Find an equation for the tangent plane to the surface z = 3y^2 − 2x^2 + x at P(2, −1, −3). Express…

A: Let's find equation of tangent plane.

Q: 1. Consider the function y-3cosx-2x-1. a. What is the amplitude of the function? b. What is the…

A: Note:- according to the company policy we can do only three subpart of a question so please upload…