h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two diamonds would be 10 carats. ass would be 12 carats. Find the mass of each diamonds. 3, 7 and 10 1, 3 and 6 2, 4 and 8 5, 10 and 15

Q: Let r be the reciprocal of n. Find the instantaneous rate of change of r wrt n and relative rate of…

A: According of Bartleby answering guidelines we can answer one question only at a time, therefore I…

Q: Evaluate improper integrals if they converge, or 1/7 a) S. 72 de dx shab diverge

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 5. Two planes are perpendicular if their nommals: a) have a cross product of zero c) have a dot…

A:

Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: integral

A: We will find the solution m

Q: Use - -1-1(x Let f(x) = 9x +7 In (x+1), x>-1. Find - dx (Simplify your answer.) x=0 to find the…

A: By using ddxf-1x=1f'f-1x to find the derivative of the inverse at the indicated point. Let fx=9x+7…

Q: 3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find…

A:

Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

A: We have to tell about which is showing a function

Q: Q22) The inverse Laplace transform of H(s) : = a) f(t) ==e¹+¹e²t 8 8 -3 c) f(t) == est +²e-2t 8 8 1…

A: To find the inverse laplace transform of givem function.

Q: H.W: show that the equations are homogeneous and solve: 1. (x+y)dy + (x - y)dx=0

A:

Q: 5.494949... = 5. 49494 100000 X

A:

Q: Determine whether the given function is even, odd, or neither. f(x)= x³ +sin 2x

A:

Q: Classify the critical points of h(x, y) = x²y + xy² + x²y² + xy³ found in the previous Question by…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Differentiate f(N) = (N) = 0 bN² + N with respect to N. Assume that b and K are positive constants.…

A:

Q: + d) y(x) = ce c) y(x) = c₂e²x + c₂ex Q3) Evaluate L (e-2t sin4t): 4 4 5+2 5+2 d) a) 5²+45+20 b)…

A:

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: We have to use the Euler method

Q: a) yp (t) =) yp (t) = A cos (2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

A:

Q: A box with a square base and open top must have a volume of 108000 cm³. We wish to find the…

A:

Q: 121 [[fx’y* (r’y – xyz – yz dxdyda - 01-1 3. Evaluate the integral t

A:

Q: f(secx tan² x) dx

A:

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

A:

Q: *.The equation (y"+x3y'+y=sinx)is.............. differential equation Linear,2nd order, Homogenous O…

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

Q: x+3 x ³ + 8x² +16x S da

A: To evaluate the given integral by using partial fractions.∫x+3x3+8x2+16x dx

Q: ?What is order of the equation (y"+2y+3=0) Second order O First order O Zero order O Third order O

A:

Q: In r Т lim, 0+ 01 O II O III OIV O Not Indeterminate

A: Hee, the given expression is: limx→0+ln xx

Q: A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

A: Concept: Determinants: For a square matrix, a determinant can be defined in several ways. The first…

Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 7) If f(x) = est cosx find f'(0).

A: Derivative of a product of two function isf(x)=g(x)h(x)then f'(x)=g'(x)h(x)+g(x)h'(x)

Q: * Define this property L (f(t)eat) = F(s-a) Second shifting property O Linearity property O…

A:

Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: -4x 2. Determine an equation for the tangent to the curve y = (x+3)² at x = -2.

A:

Q: Q4) If the power series method was used to solve the following ODE. (x-0.5)y"-y' + (x² - 1) y=0, x=…

A:

Q: 52.416 X 0.73 157248 +C

A:

Q: The function f(x) 2x³ + 42x² = one local minimum and one local maximum. This function has a local…

A: You must have an idea how to use derivatives to find the local maximum and minimum using critical…

Q: If you apply the limit comparison test to assess convergence 1 - to which of these series would you…

A:

Q: H.W: show that the equations are homogeneous and solve: 20 2. x² dy + (y² - xy)dx = 0

A:

Q: 1)y = (8 +7x³)

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

Q: 6. How many solutions does this system have? b) 1 d)i 10x - 7y=10 4x + 5y = 12 a) 0 c) 12 Ho…

A:

Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2)…

A: Given problem:- Find the orthogonal trajectories of x = C exp (-y²).

Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: Q14) The solution of y" + y = 0 by using power series method, is: - a) y(x) = ao + a1 ( 1 - 12/11 c)…

A:

Q: Find the direction derivative of f(x,y)= Xe ² + y ² at the paint (2,1), by the dirction of V = i- j

A: Topic:- application of derivatives

Q: e costu(t) e-¹ u(t) Option 3 Option 4 • What is inverse Laplace for 1 (s + 1)² + 1 y (s) = te¹ u(t)…

A:

Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

A:

Q: integrate using partial decomposition (y^2)/(y+1)(y-1)

A:

Q: Q15) Given that y₁ (t) a) t b) t 21 31 41 51 = t¹ is solution for 2t²y" +ty' - 3y = 0,t> 0, then y₂…

A:

Q: y' 1+x² x Y

A:

Q: x5 + x² + 4x³ + 4x² + 4x + 4 dx (x² + 2)³

A:

Q: Q1) L-1 1 s(s²-1)/ a) cosht-1 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of…

A: