- 8x +16 lim メ→4 x* - 8x + 16 2-x

Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

A:

Q: 2. Let R(t) = }sin 4t î – bcos“(21) j + 2t Ř. Find the moving %3D trihedral of the curve of R(t) at ...

A:

Q: 2. Suppose that a volcano is erupting. Readings of the rate r(t) at which solid mate- rials are spew...

A:

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: model of automobile

A: V(x)=25000-0.25x  Which is a linear equation with negative slope so from here we can say that as the...

Q: The furnace in a home consumes heating oil during a particular month at a rate modeled by the functi...

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: First of all we will find the type of the limit, and after this we will determine if we can use the ...

Q: For Nos. 9-10: Suppose f is a function such that f0(5) is undefined. Which of the following statemen...

A: Given that a function f is as follows  I.e f(5) is not defined  We know that  Any function is contin...

Q: 6x 2 Evaluate -dx (x - 1)(x + 1)

A: Our Aim is to evaluate the integral given below:-∫6x-2(x-1)(x+1)dx -(i)

Q: Find the indicated derivatives, using the following information: f(10) = - 3 f'(10) = 1 g(10) = 2 g'...

A:

Q: How close to -2 do we have to take x so that the following is satisfied? (Give the largest possible ...

A:

Q: Find a bound for the error in the approximation M10 to the given integral (but do not calculate M10)...

A:

Q: y = Sin- (3x – 1)

A:

Q: 5. The depth of water in a port is modelled by the function d(t) = pcosqt + 7.5, for 0 <t < 12, wher...

A:

Q: After school, Shaquille and Reyna need to pick up their basketball uniforms and return to school for...

A:

Q: 1.0 8

A:

Q: Stan (y-t0) dy ( α年

A: Our Aim is to evaluate the integral given below:-∫tan y-π4 dy-(i)

Q: 7. For the functions given below, determine at the given value of ôxây x and value of y. 3 a) f(x,y)...

A:

Q: Find the value of the integral d.x 3x(In(3x))² Determine whether the series 1 n=2 3n(ln(3n))2 is con...

A: Given query is to find the value of the integral.

Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the anothe...

Q: 5. z - sin x cos y, x- Vi, y- 1/t

A: If z=f(x,y) and x=g(t) , y=h(t)  then dzdt =∂z∂xdxdt+∂z∂ydydt.

Q: (cos n) Find the limit of the sequence an ||

A:

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...

Q: Solve the differential equation by variation of parameters. y" + y = sin x y(x) =

A:

Q: र्® 5x

A:

Q: Section 2.9 p. 252/254 # 398 For the following exercises, find the antiderivatives for the given fun...

A:

Q: 1. The function f(x) = 81 has a discontinuity at x = 9. 2. The function g(t) = |2x – 10| has a at r ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

A:

Q: Solve the given differential equation. x2y" + 13xy' + 36y = 0 y(x) = ,x > 0

A:

Q: Find the value of c in the interval (a,b) such that f'(c)=0 for f(x)=(x-3)(x+1)´ on[[-1,3].

A: the value of c is:-

Q: Use integration by parts to evaluate the integral: 5t2e-6t dt = %3D

A:

Q: Solve the given differential equation x2y" + xy' – y = In x y(x) =

A: Given: x2y''+xy'-y=ln xAsnwer: y(x)=c1 x+c2x-ln xUsing Cauchy's Euler method:Substitute  x=et; x&gt;...

Q: Find 6z - 5/T + Type your answer without fractional or negative exponents. Use sqrt(x) forsqrt(x).

A:

Q: 100 500 2500 20 Given the series 9 81 729 6561 Does this series converge or diverge? O converges O d...

A:

Q: The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme va...

A:

Q: Find 02/ay and az az 02/ax of the following function: z = x³ev* + y5 In(2x + y)

A:

Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² %3D Select one: True O False d/dx(xe2X) = 2xe...

A:

Q: d/dx[(x2 + 5)(x³ - 7) = 5x4 -15x2 + 14x Select one: O True O False 1 1 d/dx(I + Select one: O True O...

A: See the details solution in below

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

A: We need to identify that the given series is convergent or divergent using the integral test.

Q: Consider the cOnservative vector field F(r, y, z) = (2xr, z, y). %3D a) Determine a potential f such...

A:

Q: C. Without a table of values and without graphing f(x), give the values of the following limits. 21-...

A:

Q: modeled by the function F given by F (t) = 5 + - sin(), where F(t) is measured in 4 gallons per day ...

A:

Q: Consider the equation below. x2 - y? +2 - 2x + 2y + 4z + 1 =0 Reduce the equation to one of the stan...

A: Given equation is      x2-y2+z2-2x+2y+4z+1=0

Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the close...

A: Given function f(x)=sin(2x) cos(1+x)       ; 1≤x≤3 use the formula 2 sin A cos B = sin(A+B)+sin(A-B)

Q: d²y 1. 5 dx - 6y = 0 y(0) = 2; y'(0) = 4 - %| dx² d²x(t) 2. ·+ w?x(t) = 0 dt2 x(0) = A; x'(0) = vo %...

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

Q: sinh(2 In(c)) = %3D (A) 을 + 늪 2c (B) c² – (C) 를. -옮 (D) c- (E) 0

A:

Q: 1. In each of the following, find the partial derivatives. (a) f(x,y) = ry² (b) f(x, y) = 1/y %3D 1 ...

A: As per our guidelines we are supposed to answer only 3 sub parts of the given question. So I am solv...

Q: 17. Find all local maxima, local minima, and saddle points for the function: f(x, y) = x³ – 6x

A:

Q: In(x) f f(x) = x10 ='(1) = 2, find f '(1). %3D

A:

Q: Find मिव x) e -e e* + eX

A: