Solve for x. - 4x 16 = 13*-2 Write the exact answer using either base-10 or base-e logarithms.

Q: d. On what interval(s) of x is ƒ(x) decreasing? Preview e. On what interval(s) of x is f concave up?...

A: solution:-(d) f(x) is decreasing in the interval x∈-0.5, ∞(e)f(x) is concave up in the interval =DNE

Q: S sec? (4t) (3 – tan(4t))³dt A (3 – tan (4t))* + C 4 1 (3 – tan (4t))* + C 16 1 (3 – tan (4t))ª + C ...

A: ∫sec2(4t) (3- tan(4t))3 dt Substitute u = 3- tan(4t) dudt= - 4sec2(4t) dt = -14 sec2(4t)du= -14∫u3du

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 %3D

A: According to our guidelines, we can answer only the first question or three subparts of a problem, t...

Q: How 4 The Salid shown infigure consists ofa cone of radins (k) and height (hit and a cylinder of rad...

A:

Q: 21. The complementary solution, Ye, of the equation y" + 2y" + y = 10 is (a) ye = Cie-* + Cze- + C3 ...

A: The given equation is; y"'+2y"+y'=10.

Q: W.6 Twa cars AtBmove ntersect at right angles tewards the intersection paint AL 25 mi/tr and 30 mi/r...

A:

Q: Find the radius of convergence and the interval of convergence. k + 7 k=0 Radius of convergence: Int...

A: This is a question of series calculation . Based on the general concept of the series we will find o...

Q: Let M-{1, 2}. Then O IP(MxM)=4 None of the mentioned O MxM={1, 4} O MxM={(1,1),.(2,2)} O IP(M×M)|=16

A: It is a set and relation problem

Q: S 4G- e-) cos (e?+ Inz) dz | A 4 sin (e-z+ In z) + C C sin (e-2 + In z) + C 4 sin (- e-) + C sin (- ...

A: Solving the problem by finding the integration.

Q: How y The Salid shown in figure consists of a Cene of radins(r) and height (hi) and a cylinder ofrad...

A:

Q: dy 8. x + 6y = 3xy dx

A: Given

Q: If dx =16, what is the value of a ? a Round your answer to two decimals. Write 'Diverges' if the int...

A:

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number ...

A: topic - exponential function

Q: 7x + 6y For the function h(x.y)= 9xy - 7° find and dh dy

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Q: 3.1 (x+1) (x'+5x+2) ふeren ta ee

A: Topic = Derivative As per guidelines , At a time only one question can be answered.

Q: 3xy If z determine 2x - 3y

A:

Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

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Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Note that, the vertex of the parabola is at (4, 2) and the axis of the parabola is vertical. So, the...

Q: Differential Equation problem: A thermometer is taken from a room with an 70° F temperature and pla...

A:

Q: Given the the parametric curve Sx(t) = ¿e" – 12e* + 32t %3D 1 y(t) t5 – 6t + 10 dy (a) Find an expre...

A: We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: xt=12e2t-12et+32tyt=1t...

Q: y= +1) %3D

A: Given y=x(x2+1)4 Differentiate with respect to xdydx=xddx(x2+1)4+(x2+1)4ddx(x)dydx=(x×4(x2+1)4-1×2x...

Q: 1. Prove that the sum of the consecutive cubes is given by this formula: n²(n+1) 4 13 + 23 + 33 +..+...

A: Given; 1) 13+23+33+...+n3=n2(n+1)2/4 Repost the next questions.

Q: 3. t dx

A:

Q: The complementary solution, ye, of the equation y" + 2y" + y' = 10 is %3D (a) ye = C1e¬ + c2e¬* + C3...

A: For the solution follow the next step.

Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = t* - 24t2. D...

A:

Q: 5. Which of the following equations is not a variable separable? dy dy (b) dx ху + 3х — у —3 (a) e3r...

A:

Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 40% of his farm, and the rest of ...

A:

Q: Is the following a power function, a polynomial, both, or neither? f(x) = –17x³ Select the correct a...

A:

Q: 3 3 (x+ Ax)° – x° lim x→0 Ax

A: Limits

Q: 1 (a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral dx. Show you...

A:

Q: varies directly as the square of x and inversely as y. (z = 36 when x = 9 and y = 3.) 4x2 Зу 3x2 z =...

A: Topic = Algebra

Q: Question: Find the derivative. 1+ vi

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Q: a. What is the measure of the subtended arc in units of - of the circle's circumference? Preview b. ...

A:

Q: 15. Radium decomposes at a rate proportional to the amount present. If half of the origi amount disa...

A: let x be the quantity of radium at a time t .  dx/dt =kx  dx/x = kdt  Integrating,  logx = kt + logc...

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

A:

Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

Q: Determine the length of x = 4(3 + y)* , 1<y<4 %3D

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Q: Find the derivative of y = sin 2

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Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance ...

Q: Sxe dx -X-

A:

Q: Assume that y= 5x and de/dt = 2. Find dy/dt. Select one: 10 O 5 O 2 1

A:

Q: The average value of a function f(x, y) over a region R is the value 1 AV (f, R) //. f(x, y) dA. Are...

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Q: Which of the following is not true? Select one: d [uv] = uu' + vd dx O d [uv] = u · + v • u' dx v - ...

A: topic - derivative rules

Q: The graph of a rational function (2а — 3)(4x + 5) f(x) is shown below. (x) (г — 3)(2а — 3) 12 3 12 1...

A:

Q: Given Cost and Revenue functions C(g) = g° - 9g + 56g + 5000 and R(g) = - 3g + 2500g, what is the mi...

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series 00 Σ n = 0 8...

A: This is a problem of series calculation. By using direct comparison test we will define the nature o...

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

A:

Q: et Which statement is true regarding the integral dx ? O The integral diverges. O The integral conve...

A: Topic = Integration

Q: C. Find the values of the constants c and k that make the function continuous at every number. S3x +...

A:

Q: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 – z...

A: Topic = Derivative