(x - 2y - 1) dy = (2x - 4y - 5) dx

Q: x² +11x+30 4x+20 For items 37-38: Given the function f(x) = [Select] 37. What is f' (6)? [Select]…

A: Given  f(x) = x2 +11x+304x +20    ------(1)

Q: cos5 0 sin 20 de

A:

Q: Find the radius of curvature of y=xª at (1,1).

A: Here we have to find the radius of the curvature of y=x4 at (1,1)

Q: 2. fx²5-x' dx

A: ∫01x25-x3dxapply u substitution;take, u = -x3;du = -3x2-du3=x2then our equation can be written as…

Q: Laplace Transforms Solve the following differential equation completely without using calculator. y"…

A:

Q: Calculate the integral, for y> 2. 'Y x² - 4x + 5 √₂ - (x² − 2x + 2) (x² − 1) dx,

A:

Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

A: I am attaching image so that you understand each and every step.

Q: solve the equation :- y'(t) = y(t) [a-y(t) ] ₁ y(0) = a/2, 970

A:

Q: Explain the process and strategies you would use to determine the derivative of y=tanx. Note that…

A: Break the tanx into Sinx/Cosx

Q: Q1/B) Find the length of the cardioid curve: r = 1 + cose

A: To Find : Length of the cardroid curve r=1+cosθ

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries.…

A:

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A:

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: Suppose the functions heas and reas are defined follows beas = 5x=2x² rexlx23x4 X+2 -2 Write down Oh…

A: We have to solve the given inequalities.

Q: Directions: Find the area of the region bounded by the curves. Use a clean sheet of paper for your…

A:

Q: 8. +1 (x-1)³ -dx

A: Integration

Q: Let Use the limit definition of the derivative to calculate the derivative of f: f'(x) = Use the…

A: Given: f(x)=3x3-6x-4

Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level…

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

A: As per Bartleby guidelines rule I am answering only first question as other question is not a…

Q: Write the expression in rectangular form, x + y i, and in exponential form, re Зл Зл [3 (cos 3T + i…

A: We will solve the problem

Q: əx ду Əw aw x+y)+x²³ sec show that x +yay əx Ex: If w = y³ tan-¹ x²-y², x4-2xy³ Lemma: If w = f(g(x,…

A:

Q: EXAMPLE 6 Evaluate lim x In(x³). x →0+ SOLUTION The given limit is indeterminate because, as x→ 0+,…

A:

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

A:

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A:

Q: dx 2. √ 9x² + x³² 12.

A:

Q: 9. J et dx 10. 4лr² dr

A:

Q: ff" (x+5) dx=14, then the value of b is equal to (A) 4 B) 3 (C) -3 (D) None

A:

Q: S³ 3 sinh (4x - In 5) dx

A:

Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: Evaluate Sc (4x+3√7) ds ds where C is given in the accompanying figure. Sc (4x + 3√/y) ds = (Type an…

A:

Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

Q: f(x)=(6x¹-2x+1)

A:

Q: What is the slope of the line tangent to the curve y = 3x² + 6x +3 at x = 4? Oy' = 51 O y' = 30 O y'…

A:

Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

A:

Q: Derive : y = (5x-2) (2x + 3) - 1

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1…

A: Partial fraction decomposition

Q: dx (5-4x-x²) 18. 8. f

A:

Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

A:

Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: ·S* A True B dx tan t²dt = 2x tan x² False

A:

Q: D. Calculate volume enclosed by (z = 8 - x² - y²) and (z = x² + y²), (Use order dy dz dx).

A:

Q: dt ·S₂ (²+1)' 17.

A:

Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: PLETE and RELEVANT justification to earn any points vant! shown below converge or diverge? If yes,…

A:

Q: 2. Find the MacLaurin polynomial of degree 7 for the function F(x) So sin (6t²) dt.

A: SOLUTION-

Q: dx 1+x-2

A:

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: 1 f(x) = (2x³ + 6) ³

A: