Find all solutions to the following equation on the interval 0

Q: - Show that lim sin a =D0.

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

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

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Q: are

A: We will find the critical points. 

Q: To evaluate the integral expression sin-(Vx )dv, using simple substitution dv =f (x) dx Determine th...

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 3...

A: The given curve,  y=x+2x-23 at x=1

Q: Classify the differential equation: (台)-() 3. 3. X P -2T 5. dyt O Third order, fifth degree, linear ...

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Q: dy Find for the following function. dx y = 2x cos x sin x dy dx II

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Here we have to find the true or false statements

Q: x sin(x² )dx 2.

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Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³/y2 + z² at the pointP,(2,3,4). ...

A: Given that        f(x,y,z) = x3√(y2+z2) 

Q: 3lnx – 3lny The function f (x,y): x-y Nonhomogeneous Homogeneous of degree 2 c) Homogeneous of degre...

A: The given function is: f(x,y)=3ln x-3ln yx-y          =3(ln x-ln y)x-y          =3 lnxyx-y

Q: Use the difference a+1 an to show that the given sequence {an} is strictly increasing or strictly de...

A: The given sequence,      n7n-6n=1+∞

Q: Xe dx (x + 1)² 4.

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Q: 2. Which is the interpretation of the statement lim f(x) = L ? i. For all x values close to c, but n...

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Q: (x+2x+3)(5-x) 10. g(x)= 3x+2

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Q: Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer...

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Q: 1. Find the first derivative of y with respect to x (y') of the given functi 1. x³y-xy² +x² +y? = 0 ...

A: To find the first derivative of y using the given equation.

Q: Determine the gradient of f(x, y) *sin(4y) at (x, y) = ( – 2, 3). Round to 2 decimal places. V f( – ...

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: 9-30. Shell method Let R be the region bounded by the following curves. Use the shell method to find...

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Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

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Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

Q: Evaluate f(e* +2*) dx a.) 2e* ++C b.) e2* + 2ln* + C c.) e* ++C d) e2x + 2ln x + C Evaluate fesx-2 d...

A: This question is based on indefinite integral.

Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: Rewrite the given equation of a quadratic surface and identify the graph. 12y2 – 3z2 = 16x

A: equation of the hyperbolic paraboloid  A y2 - B z2 = 2 Cx

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation b...

A: The given equation is yz=e3x+z.

Q: A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisphere attache...

A: Question 5 A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisph...

Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: Find the amplitude of the graph of y = - 5 sin O 167 8. 05

A: Comparing with standard form of the wave equation

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

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Q: 20. Evaluate f(2.x – 3)(x² + 1)dx a. 4x* + 3x - x2 - 3x +C b. 4 x* - x + x² - 3x +C c. 34 x* + x - x...

A: We know that ∫xn dx = xn+1n+1+C        n≠-1  where C is constant of integration.

Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the p...

A: Let the exponential law of growth: As given: t=13.28 hours hence at night around 1:28 a.m., the de...

Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 В) 2604 15625 6 7813...

A: Given: y=x5, x=-5, x=1, y=0 The area of the curve by the bounded region is given by: A=∫x5dx Here, t...

Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

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Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 ...

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Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1/...

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Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coe (x...

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Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B 2...

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha ∫1a2-x2dx=sin-1xa+CThereoreI=sin-143x1+CI=sin-...