as a constant multiple of log 4 (x) Write the function log₂ (x) as Answer:

Q: 30. The vertical line x = 2 is an asymptote for the graph of the function f. Which of the following…

A: The vertical line x=2 is an asymptote for the graph of a function

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: ¹ / ( (x² + x 7). xi - y). dr where C is the semicircle with center at (2, 0) and going from (8, 0)…

A:

Q: (In x) x Sh 12 - dx

A: ∫lnx12xdx

Q: 77°F Sunny Which of the following functions could make the graph 27 18 16 14 12 10 N. Of(x) =…

A: Graph of a polynomial function

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A: tanθ  is undefined        and        sinθ<0

Q: Write an equation (any form) for the quadratic graphed below 5-4-3-2 32 -2 12 to वॅ

A: The quadratic function in the vertex form is of the form  y=ax-h2+k  ...(1)

Q: A population of insects increases at a rate of 210 + 14t + 1.2t² insects per day. Find the insect…

A: dP/dt = 210+14t+1.2t2

Q: Let R be the region bounded by y=4−x2 and the x-axis where 0≤x≤2.   a) Use the method of disks to…

A: The region R bounded by y=4-x2 and the x axis where 0≤x≤2 Graph

Q: Describe the given region in polar coordinates. ww. -10 AY 10- -10 10

A: The given graph is:

Q: Find the outward flux of the vector field F(x, y, z) = So: the surface of the box bounded by the…

A:

Q: Give your answer in a +bi form

A: Calculate 4+2i and give your answer in a+bi form.

Q: e. S e dx x (In x)² 2 f. S t 0 √5 + t² -dt

A:

Q: In x dx X f. fe"

A: I=∫elnxdxx

Q: Find the divergence of the vector field F - div F = =

A:

Q: Question 1 Consider the function f: R→R, given by -((m + 1) -mx) (x+1), C (a) Find the y intercept…

A: SOLUTION:-   Given,   f(x)=1ex((m+1)-mx)(x+1)   and the value of m is taken as 3.

Q: For the its first term is sequence an = 20 + (-1)", its second term is its third term is its fourth…

A:

Q: 2. Find the quotient and the remainder of x4 +8x³ + 6x +5 divided by x²+x+1. D

A:

Q: Change the Cartesian integral Change the Cartesian integral into an equivalent polar integral. PA dr…

A:

Q: solve the absolute value inequatity |x-3|-|1-x|+|3x-2|<=2

A: First put all the equation under modulus box one by one and make equal to zero to get the condition…

Q: Find the divergence of the vector field F¹ = div F =

A: we have given vector field F→=yx6, xz5, zy2

Q: Yes it is conservative but you are incorrect on the rest of it

A:

Q: b. What was the accumulated value of the fund at the end of 8 years? $0.00 Round to the nearest cent…

A:

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: x=4y2,x=4+3y2

Q: (a) (b) 100 5 010 -5 0017 101 012 000 1 -2 8 0 syster O The system has a unique solution. (x, y, z)…

A:

Q: 7T Plot the point whose polar coordinates are 4, 4 -5 -4 น -2 -1 4 3 2 1 -1 -2 -4- -5+ Clear All…

A:

Q: (y secx + secatanx) dx + (tanx +2y) dy =1

A:

Q: Find the volume of the solid generated by revolving the region enclosed by x=√√15y², x = 0, y = -3,…

A: The given curves are: x=15 y2 ,     x=0,       y=-3     and     y=3

Q: Question 4 Consider the function (i) Find (ii) Find af ах ду 8f8f 8f Ах2 Әх ду ду f(x) = (x - 2)²yº…

A:

Q: Find the area of region enclosed by x = t-t², y=t-ť, 0≤t≤1 using Green's Theorem.

A: given parametric curve :-x = t -t4    and   y = t-t5and   t ∈0,1then by using  Green's   theorem ,…

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A: The area between the x-axis and the function f(x) in the interval[a,b] is given by the definite…

Q: Find the integral of 12 sin x cos 5x dx if lower limit= 0 and upper limit = π/2. A. 0.2 B. 0.3 C.…

A: As per guidelines, Only one question can be answered out of multiple different questions. Please…

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: The height of the rock after t seconds is given by the function:h(t)=15t-1.86t2

Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

A:

Q: A carpenter wishes to construct an elliptical table top from a sheet of plywood, 4 ft by 8 ft. He…

A: To construct the largest possible ellipse, we need to place the tacks at the extreme ends of the…

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [8 8y³…

A: Green's theorem is given as  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: 4. Write the first 4 terms of the sequence [d₂}. d₁=64(-1)^

A:

Q: Complete the following steps to find an equation of the tangent plane to the surface z = at the…

A:

Q: PROBLEM NUMBER 13 Evaluate 28-625 +423-2 24 1³ dz.

A: let  J=∫(z8-6z5+4z3-2z4)dz

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A:

Q: ammation Calculate the amount of work required to lift a bucket of cement with mass of 50 kg from…

A:

Q: PROBLEM NUMBER 6 Solve 3y²+x=0, where y=5, when x = 0.

A: We shall use separation of variable then direct integration to solve IVP

Q: 25. [2.x² 2x² + y² = 18 = = 4 xy =

A:

Q: Show that sequence is arithmetic  Sn=(n+4) Please,  solve step by step.  Write down every formula…

A: The sequence is arithmetic , if the difference between any two consecutive terms is same .

Q: Find the gradient of the tangent to the curve y=x^(x+4x^2) at the point (1,1) answer = 5 please…

A: Find the gradient of the tangent to the curve y=x^(x+4x^2) at the point (1,1)

Q: F. dr. (Check the orientation of the curve before applying the theorem.) Jc F(x, y) = (e2x + x2y,…

A: Green's Theorem ∫F1dx + F2dy = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: Approximate the area under the curve graphed below from z=3 to z = 6 using a Left Endpoint…

A: To approximate the area under the curve graphed below from x=3 to x=6 using a Left Endpoint…

Q: Use a suitable u-substitution to evaluate the following integral. Use exact numbers, not decimal…

A:

Q: 3. Find an equation of the tangent line to the curve y = F(x) at the point with a coordinate . ra…

A: The equation of the curve is y = Fx = ∫πxcosttdt To determine: The equation of the tangent line to…

Q: Solve the given system of equations. If the system has no solution, say that is it inconsistent. x-…

A: x-y=24x-2z=304y+z=12