Substitution Suggested by Equation 1. sin y(x + siny) dx + 2x² cos ydy = 0

Q: Differentiate y=(x^2+5)(cubed root x^2+2) y'=

A:

Q: Find the values of sin 20, cos 20, and tan 20 for the given interval and value. - 2. cos 8 = -(,) 4.…

A:

Q: How do you solve number 23?

A:

Q: If A = (a) (x, y) = (b) (x, y) = then A-1 = 4x - 7y = 44 3x - 5y = 32 - (-5 4x - 7y = -28 3x - 5y =…

A:

Q: Determine whether the series is convergent or divergent. In(n) n² Σ n = 2 O convergent divergent

A: To determine whether the given series is convergent or divergent

Q: Given the demand function D(p) = √375 – 2p, Find the Elasticity of Demand at a price of $165 6.708…

A:

Q: Compute the given integral using Fubini's theorem, where R is the rectangle [-1,1] x [1,2].

A: Given:        ∫∫R3xy dxdy where R is rectangle  [-1,1] x [1,2]       =∫12∫-113xy dxdy integrate…

Q: A printed poster is to have a total area of 786 square inches with top and bottom margins of 5…

A: Let x denotes the width of the poster in inches and y be the length in inches.

Q: 18. 2x² - 3y³ = 5; (-2,1)

A: Given query is to find the derivative.

Q: Let f(x)=e^sqrt(8+4x^2) find f'(x)=

A: Given query is to find the derivative.

Q: Let f(x) = (sin x)³ + (cos x)³ 3 Enter the total number of critical numbers on the interval [0, 27].

A:

Q: In each of the following problems, use both the method of variation of parame- ters and the method…

A: (a). The given differential equation is:y''-5y'+6y=2et

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Given:       Rx=0.006x3+0.02x2+0.4x where x is the number of lawn chairs. a) Current daily​ revenue…

Q: Suppose that an (x-7)" converges at x = 11. At Σ n= = 1 which of the following values of a must the…

A:

Q: A triangle has a base that is increasing at a rate of 2 cm/sec and a height that is decreasing at a…

A:

Q: (a) Find the derivative of ƒ (x) = (x² + 4) (2x - 11) by first expanding the polynomials. Enter the…

A:

Q: xpress the arithmetic sequence as an explicit formula. Then find the 50* term. Sequence:50, 48, 46,…

A:

Q: or what value of c is the function f(¹) = { II 6 2-16 (x+4)(x-6) E x=-4 x=1 otherwise continuous at…

A:

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: Find the parametric equation for the line that tangent to the given curve at the given parameter…

Q: 11. y= 13. y 15. y= 17. y= x-1 x + 1 x²+1 x +3 (2x + 1)² 1 2 x²+1 TT + 1 12. y=x²+x+7 14. y= x + 16.…

A:

Q: Given the function h(x) = x-2x- x²-9 Determine the following: A. Vertical Asymptote(s): [Select ] B.…

A: Given the function hx=x2-2x-3x2-9, to determine the following: A Vertical Asymptotes,B Horizontal…

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A:

Q: Choose the graph that best matches to the information provided below. f'(2) = 0 and f "(2) < 0 and f…

A: f'(2)=0f''(2)&lt;0f'(6)=0

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

A:

Q: Use partial fractions to find the power series of the 7x + 79 function: (x − 8) (x + 7) n=0

A:

Q: Let D be the region bounded below by the plane z=0, above by the sphere x² + y² +2²=64, and on the…

A:

Q: 9. Given f(x)=x²-4 and g(x)=√x+1, find (fog)(x) and state its domain.

A:

Q: Use the Root Test to determine if the series converges absolutely or diverges. 3k+9 € (-³K+9)" k=1 k

A:

Q: dr Let A be the area of a circle with radius r. If dt =/4, find dA dt when r = 5.

A:

Q: Find h′(2) if h(x)= ln(x+√x^2-1) h'(2)=

A:

Q: Equations Linear in Two Variables 2. (2x+3y-1)dx + (2x+3y + 2)dy=0 x(3) = 1

A:

Q: 21. Use the first and second derivative rules from Section 2.2 to show that the graph of ye has no…

A:

Q: 5. Prove that if f(z): then f is an entire function. COS Z z² - (π/2)² J when zл/2, when z = : ±л/2,

A: Taylor series expanding of  cos(z) about z=π/2 cos(z) =-z-π2+16z-π23+......similarly Taylor…

Q: 20. Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a…

A: . Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a…

Q: 3. Find the volume of the solid formed by revolving the region bounded by the graphs of f(x) = √36x²…

A:

Q: Topic: Differential Equation Bernoulli's Equation solve the given differential equation by…

A:

Q: Evaluate the triple integral solid bounded by the paraboloid x = 8y² + 8z² and = 8. (1) X = x dV…

A: We have to evaluate the integral  ∫∫∫E x dV  where E is the solid bounded by the paraboloid…

Q: Given f (9) = 2. f' (9) 9. g (9) = -1, and g' (9) - 7, find the values of the following. (a) (b)…

A: givenf(9)=2f'(9)=9g(9)=-1g'(9)=-7

Q: Let f(x) = X a) Compute ƒ'(x) using the definition of the derivative: f '(x) = lim S (x + h)− ƒ (x)…

A:

Q: The matrix D is defined as follows. Use a graphing utility to carry out the indicated matrix…

A: Let's solve.

Q: Question 2: a) Find the equation of the tangent lines to the curve y = that are parallel to the line…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given the function graphed below, evaluate the definite integrals. 4 3 2 1 -1 -2 -3 ["ª f(x) dx = T…

A:

Q: Find the derivative of s(t) = 1+sint 1+cost

A: Given query is to find the derivative of the expression.

Q: Find equations for the lines tangent and normal to the cissoid of Diocles y² (8-x) = 16x³ at (4,16).…

A:

Q: Find the area in the second quadrant that is inside r = 2 + 2 sin θ and outside r = 2 + 2 cos θ.

A:

Q: Set up an integral that represents the area of the surface obtained by rotating the given curve…

A:

Q: Verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8]. Estimate…

A: According to the graph we can observe that the graph is continuous and can satisfy mean value…

Q: Solve the differential equation. 5 y

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of f(x)=√16 - x²…

A: Given Curves:- fx=1216-x2    and  gx=12x

Q: Use this equation to find dy/dx for the following. cos(x - y) = 8xey dy dx =

A: Topic = Derivative