sin x 16 y = e* + cos x solves y' = cOs x + y

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 5x + 1), (5, 0) y ...

A: Given y=lnx2-5x+1 We have to find tangent line at (5,0)

Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b) ...

A:

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

A:

Q: +00 2 -1)"+1(3n)! 3n+1

A:

Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: - y = (2x² – 4x + 1)60

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Write an equation for the line through center a circle (x2 + y2 + 4x+6y = 3) which make an angle) wi...

A:

Q: yi + yi = 1, when x = 0, y = 4 %3D

A:

Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

A:

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Maximizing Yield An apple orchard has an average yield of 36 bushels of apples per tree if tree dens...

A:

Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

A:

Q: 221 writc a formnla for the function y =f cx) whose is shown fig: 2.

A:

Q: Solve the differential equation (D³ – 2D² – 5D + 6)y = (e2x + 3)2 %3D - -

A: To solve the given differential equation.D3-2D2-5D+6y=e2x+32

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim ...

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A:

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: 2. f(x) = V2x + 3, a = 3 %3D

A: 2) f(x)=2x+3,  a=3  slope of tangent line is m= dydxm=122x+3×2   m=12x+3Substitute x=3⇒m=12(3)+3    ...

Q: Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation...

A:

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the plan...

A:

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: D. Evaluate the following limits by making a table of values for x. Consider 5 values of x for to es...

A: find limit

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in or...

Q: у 3 cos (4x — 19)

A:

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

A:

Q: Integral from 0 to 1 of (3^x)/(e^x). The answer should be decimal

A:

Q: CoS 2X sin x,co

A:

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

A:

Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: A. : Į Given lim f (x) = 5, lim g(x) = -1, and lim h(x) = -3. Used the properties of limits we have ...

A:

Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x² + y² a...

A:

Q: 5-Vx 4) lim x-25 x-25 5) lim 7-x ל-x ( x² – x3 if x <2 6) Given the function g(x) 15x – 14 if x 2 2 ...

A:

Q: Give the Maclaurin series expansion of f(x) = ln(3-2x). Determine its interval of convergence.

A: To determine the interval of convergence

Q: Question 6 P Consider a room in the shape of a 4 m cube, 4 meters on each side. A bug at point P wan...

A: Given problem:-

Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: 7. y = tan ex + etanāx

A:

Q: Find the equation of the tangent to the curve y=xcosx at x= 7. Use exact values in your answer f app...

A:

Q: (2 cos 3w – sec 3w tan 3w)dw

A:

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

A:

Q: The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j - 5k and o...

A: We have to find equation of plane and distance AB

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a volum...

A: Given

Q: Question Find the equation of the tangent line to f- at the point P (-1, 1) for f(x) = -- 2x- 1 Prov...

A:

Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: