4. (3 coshm +ecoshm sinhndm

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

A:

Q: e that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colon...

A:

Q: S cos3 x sin* x dx

A:

Q: (ө-4)d@ (в+5)* 2.

A: SOLUTION-

Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx ...

A: Given Equation y=√x ,x=4 and y=0 

Q: 1 I. Evaluate dV, where E lies between the spheres x? + y² + z² = 1 and x2 + y? + z² E x2 + y? + z? ...

A:

Q: and horizontal lines), without performing the integration. (c) Write down the integrals with their l...

A:

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply th...

Q: IT sin't cos*t d t

A:

Q: On the graph of f(x) = sec x and the interval [0, 27), for what value of x does f(x) = –1? Choose al...

A: We have to find out 

Q: cos(- 18x 14 COS Find the limit lim a Note: Give the exact answer but not the decimal approximation ...

A:

Q: Calculate the Taylor polynomials T,(x) and T3(x) centered at æ = 1 for f(x) = ln(x + 1). T;(x) = T;(...

A:

Q: Find dy/dx, if y=(x^2−2)^3 (2x+3)^4 dy/dx = _____

A:

Q: 1. y 10 – 2x6 dx

A:

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: Sss*dx= [s 521²dx 5'52 dx A True B False

A:

Q: 3. (а) х-ахis (b) y-axis y-4-

A:

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: х ах 2(5+x²)4

A:

Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx

Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

Q: INSTRUCTION: Solve the given differential equation below by undetermined coefficients. y" + 6y + 9y ...

A:

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Given: V(t)=14550e-0.169t

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

A:

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

A:

Q: {k}, {I, m, o}, {n, p}} of the set U = {k, I, m, n, o, p}. Give the

A: Solution is attached below.

Q: 69x420

A: Given query is to perform indicated multiplication operation.

Q: 1- Solve the following equations using Grammar's rule: b) 2x + y - z = 2 x - y +z = 7 2x + 2y + z = ...

A: Given system of equation2x+y-z=2x-y+z=72x+2y+z=4We know that for system of equation a1x+b1y+c1z=d1a2...

Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

A:

Q: Compute the resulting error in the function f (x) = x³ for value x = 2.38 with an error Ax = 0.005.

A:

Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1 B...

A: Given , The directrix is at y = 8 , focus at (1,2).  

Q: Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x whe...

A: The cost of producing bananas,dCdx=26x+45x

Q: 6. radians 7. radians 8. radians 2 3n radians 9. 10. 2n radians Example: -135' (OD)

A:

Q: Consider a polynomial f (x) = ax³ – bx +c. Find the value of b if f' (2) = 0 and fl" (2) =44. -

A: The solution is given in the next step.

Q: Find the limit lim 14,cos(, 18z Note: Give the exact answer but not the decimal approximation (for e...

A: Given:   limx→0+x14 ecosπ18x

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the poi...

A:

Q: If the domain of the function f(x) is {r E R| – 2 < x < 4}, the the domain of the function g(x) = f(...

A:

Q: Question 23 Give the coordinates of the center of the circle with the equation x²– 6x + y²=12-4y. Bl...

A:

Q: The number of a particular fish in thousands x years after 1971 can be modeled by f(x) = 230(0.888)*...

A:

Q: 5. Consider the graph of f (x) shown. Does the lim f (x) exist? Is the function continuous at x=3? E...

A: This question is related to limit and continuity,  we will solve it using given information. 

Q: S 4- e-2) cos(e- + In z) dz

A:

Q: D Find a singular saluhion of DE: %3D

A:

Q: By using substitution method, evaluate: (a) dx (e3x+x3)3 (In x) dx (b) 4x

A: To evaluate the integral.

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: 2. Examine the given graph of f(x) and evaluate the following. 44 а) lim f(x) = d) lim f(x) = 2 lim ...

A: We have to find the limit of f(x) using the graph of given function.

Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and ...

A: