logzx = 3 – log,2x 7. In(x + 2) + In x = In(x+ 12) Pgol+x0ol 6. log 3x + log 2x = log 150 %3D 8. 15(4*) < 15,360

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: 1. Graph of M versus t is shown below - 

Q: Using a calculator, complete the table and use it to estimate the indicated limit if it seems to exi...

A: limit

Q: - Part 1 Solve the followng system of linear equations Sy + 6y + 15 + 8ly + 213a 13 13 16 - 15 207 W...

A:

Q: Jsing the Binomial Theorem, show that

A:

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A:

Q: The follamng expression shaws an eqution of a conic section such that he ordered pair (Vx, Vy), corr...

A:

Q: 5. x sin 3) lim00 x+1

A: limx→∞x5sin5xx4+1=limx→∞ x5sin5xx41+1x4= limx→∞ x sin5x1+1x4 = limx→∞  sin5x1x1+1x4=limx→∞ 5 sin5x5x...

Q: Claire starts at point A and runs east at a rate of 11 ft/sec. One minute later, Anna starts at A an...

A: Topic = Algebra

Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y - z = 4 are orthogonal, parallel, o...

A:

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

A:

Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

A:

Q: Solve the differntial equation by integration x? dy + 3xy=x4

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: The tetrahedron with vertices P-3,2,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: Given the given cost function C(x)=4850+780x+1x2C(x)=4850+780x+1x2 and the demand function p(x)=2340...

A: Given problem:- Given the given cost function C(x)=4850+780x+x2 and the demand function p(x)=2340   ...

Q: Differentiate the function L(k) = cosh¯' (/T+ k² ). O (k² + 1)-1/2 O 1+ k2 1+k

A: ddkcosh-11+k2

Q: C. Directions: Solve the given problem using continuity of a function it is estimated that a worker ...

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 4k w = i+ 9j + 8k Find the ...

A:

Q: A 50 gallon storage tank initially holds a saltwater solution containing 100 grams of salt dissolved...

A:

Q: Consider the following power series: 00 n (5-2x)" Σ 2n + 1 n=1 Show that the series is conditionally...

A:

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

A:

Q: 15. x*y' + 2xy = In x, y(1) = 2

A:

Q: Solve the recurrence: an= 2an-1+ 4n-1, ao=1

A:

Q: 1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at...

A:

Q: The sequence that begins 1 1 1 1 3? 4 5 6? could be ... 2 O a Fibonacci sequence. O a harmonic seque...

A:

Q: In this question we work through the steps for solving the following problem: Find the interval of c...

A:

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A:

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: Solution ) 1) critical number are peak or valley points Here x = 2  Graph gains maximum value  criti...

Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

A:

Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appr...

A:

Q: Evaluate dz. 23 x2+1

A:

Q: h(x) = sin? x + cos x 0 <x< 2n X =

A:

Q: Find the length of the curve y = In x from x = V3 to a = 2/2. o 1+홀 In를 None of the choices. Please ...

A:

Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0) f'(...

A:

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: topic - area of parallelogram using vectors

Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying ...

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve ...

Q: Determine the resulting surface area when the curve y = x is rotated about the y-axis in the interva...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the area of the region bounded above by y = x + 1 and below by y = x3 + 1. AY 2.5 1.5- 0.5 0,5 ...

A:

Q: anx" + + a1x + ao An 4. If f(x) = bn with an #0 and b, #0, show that lim f(x)% = ... %3D .. + b1x + ...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing...

Q: e diagonals of the parallelogram nt sides.

A:

Q: g(z) = 2z7 – e² ln(z)

A: Find your answer below 

Q: Find the general Solution of the Partial differential equation (xz + yz)p+ (xz- yz)q = x' + y?

A: This is Lagrang's linear equation so solve using auxiliary equation. 

Q: dy III. Find using implicit differentiation. dr sec (ry) = (cosh r)(tanh +) + 2 csc=' (tan(y+1))

A: Question III,Given,            sec3xy2=coshxtanhx+y+2csc-1tany+1To find : Find dydx using the implic...

Q: Determine the coordinate of the centroid bounded by curves of the polynomial functions y = #³ – z an...

A:

Q: -3 sec-(VI) y = 4"(log, r)sech z

A: Given y=-3sec-1x4xlog2xsechx To find dydx

Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x =0 and x ...

A:

Q: du 17. t = t² + 3u, t> 0, u(2) = 4 dt

A:

Q: Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. ...

A:

Q: ffis a one-to-one function with f(4) = 6 and f'(4) = 3, find the equation of the line tangent to y =...

A:

Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region b...

A: