y = e2x, y = e*, and x = 2

Q: 1. log4x =-2 3. log3x + log;9 = 1 4. logzx + logz(x – 6) = 4 %3D 2. 4 + 3 log x = 10

A: Topic:- Algebra

Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 = ...

A:

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

A:

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

A:

Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given 

Q: Find the area of the triangle with vertices P(1, 3,-6), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the ex...

A: P(1,3,-6), Q(0,0,0) , R(2,4,1)PQ= Q-P = (0-1,0-3,0+6) = (-1,-3,6)PQ= (-1,-3,6)PR= R-P=(2-1,4-3,1+6) ...

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I...

A: We have to find the rate at which the infected population is growing after 10 days.

Q: Find the indefinite integral and check the result by differentiating. x+4 dx

A:

Q: .. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not...

A:

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

A:

Q: 9. given f(-2) = 5, f'(-2) = -3, g'(-2) = 6, f g)'(-2) = 15. Find g(-2) %3D

A:

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differen...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the graphs...

Q: Select the basic integration formula you can use to find the indefinite integral. 6. dt du Va? - u? ...

A:

Q: Write z, and z, in polar form. Z1 = 7 + 7i, z2 = 4 21 = Z2 Find the product z122 and the quotients 2...

A: Since you have asked multiple part question, we will solve the first 3part of the question for you a...

Q: The area enclosed between y In (x), the x-axis and x = 3 is rotated about the line x= 3. Calculate t...

A:

Q: In the rectangular prism shown below, OA=a, OC =b and oD =c. Express each of the following vectors i...

A: We have to write following side of cube in vector form on the basis of given vector.

Q: 13) For the given cost function C(x)=48400+800x+x2C(x)=48400+800x+x2 find: a) The cost at the produc...

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

Q: Below is a graph of the derivative of a function f. y 3| (x from -1.3 to 2) A.0 -0.5 -1 0.5 1.0 1.5 ...

A:

Q: 6. y' – y = e* 8. 4x'y + x*y' = sin’x %3D

A:

Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: 3. Determine whether the series below converges or diverges using the test that you think is easy! 2...

A: Solved below

Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A: topic - functions and derivatives

Q: 5-14 1 Solve the differential equation. 5. y' + y = 1 6. y' – y = e* 7. у' 3 х — у 8. 4x’y + x*y' = ...

A: According to our guidelines we can answer only three subparts.Question 5,Given,           y'+y=1

Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the l...

A:

Q: + x° rp („z +

A:

Q: 3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at t...

A: dTdt=-k(T-T0)∫ dT(T-T0)=∫-k dtln(T-T0) =-kt+ln CT=T0 +C e-ktat t=0;T(0)=21°CT0 =-6°C21=-6+CC=27T=T0 ...

Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

A:

Q: The sequence that begins , -2, , -5, , .. -13 could be . an alternating sequence. a harmonic sequenc...

A:

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x) (tanh 2+v9) + 2 csc-1 (tan(y + 1)...

A: Implicit differentiation

Q: A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O irra...

A:

Q: Consider a closed rectangular box with a square base with side length `x` and height 'y'. Find the s...

A:

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 91...

A:

Q: Write an equivalent first-order differential equation and initial condition for y. y = -dt 1 ... Wha...

A: fundamental theorem

Q: 9 (x) g' (x) g (x) g (x) 9' (4) -3 1 2 -4 2 16 Selected values of a function g and its first four de...

A:

Q: Let f be a function such that / rf (4x + 3) dx = 2. Write an equation that 2 an be inferred involvin...

A:

Q: 1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

A:

Q: Write an equation for the polynomial graphed below 5+ 4- 3+ 2 1 -5 4 -3 -2 1 2 3 4 5 -3 -4 -5+ y(x) ...

A: topic- polynomials

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after th...

A: Here, V =70000+70000 e-0.47t

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

A:

Q: A third-order Euler equation is one of the form ax y"" + bx y" + cxy' + ky =0, where a, b, c, and k ...

A:

Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – 3 – x = -22 at the point ...

A:

Q: Find the volume of the solid that is obtained by revolving the region about the line y = 2. %3D 个ッ 3...

A:

Q: Find all numbers x such that the series n=1 converges!

A:

Q: Find the indefinite integral and check the result by differentiating.

A:

Q: 3.4 +3.198

A: Consider   

Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

A:

Q: What is the shortest distance between a chord with length of 12 units and center of a circle with eq...

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the an...

Q: 1-cost lim sint et-1 + t t t+0

A:

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume c = 9, a = 1.15, b = 2...

A: