2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? Explain your reasoning. rt1

Q: siny dx + (x – sin? y)dy=0

A: We have to solve the differential equation sin y dx + x-sin2y dy = 0   We know that ∫cosec x dx = ln...

Q: Determine the vector v that has magnitude 9 and direction angle 160°. Type your answer in component ...

A:

Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y) an...

A: Please see the below picture for detailed solution for detailed solution. 

Q: 1. Consider the following shaded areas: 5 4.5 - 4 - 3.5 - y 25 Here, the red curve is y = f(x) and t...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Series  convergence and divergence 

Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: 2x+3dydx =y+y22x+312

Q: h> ח) tan x

A:

Q: 1. Verify the two given function forms as a fundamental set of solutions of the DE on (-0,0) Check t...

A:

Q: 3 +1 mect

A:

Q: Sec o

A: The solution is given in the next step.

Q: 7) In Problems 7 through 11 given f(x) and g(x) are Continuous and Differentiable EVERYWHERE with th...

A: Since you have posted multiple subparts question in this question which are not interlinked so i hav...

Q: A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on...

A: Given: fx=2x3-3x2-72x+10 ; a,b=-6,8   As we know from the Mean value theorem: If f(x) is real-valued...

Q: 0. Find the area of the triangle with the given side lengths. Round your answer to one decimal place...

A: Given graph :- Find the area of the triangle with the given side lengths. Round your answer to one d...

Q: ITC A= - radians The Ieast positive angle that is coterminal with A is radians. (Type an exact answe...

A:

Q: Elminote the orbitrary constants X =k +ct, y= ct² Find the differenhal equation of the

A: Given: x=k+ct; y=c2t2To form a differential equation by eliminating arbitrary constants  

Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

A:

Q: y= h(x) 2+ 1+ + -1 -2 1 2 -1 Identify all of the values of c for which h(c) is a local maximum of h....

A:

Q: Can someone help me solve this question? (Need step) thanks!

A: Topic:- function

Q: T/2 cos t dt 1 + sin²t

A:

Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

Q: Let f(x) = and calculate V15 x+1 f(x) dx by using integration by substitution. What was your substit...

A:

Q: dy yo

A:

Q: - ydx + (x ++ y )dy 0

A:

Q: written

A:

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: A per your request , (b) The equation of sphere is given as , x2+y2+z2=Rs2 and Radius of drill=Rd f...

Q: 9 lim + -8-+ I+8 1² + 7x –8,

A: limx→  -8-x+7x+8+9x2+7x-8

Q: solve for the orthogonal trajectories y2 = 4x2 (1- kx)

A:

Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

A:

Q: The set of complex number, write in roster method (at least 10 elements) and set builder notation

A:

Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: 24. f(x, y) = In(x² + y)

A:

Q: 1. Use the following matrices to compute the indicated expression if it is defined. [ 3 A = 15 21 6 ...

A:

Q: x(х + 1)(х — 2) 54. у 3 %3 (x? + 1)(2х + 3)

A:

Q: Determine whether the equation defines y as a function of x. Please show all the detail steps of you...

A:

Q: (x'y-xy°)(xdy+ydx) 3. +dy = 2xdx

A:

Q: 1 Let f(x) = and calculate %3D x(In(x)) S(x) dx by using integration by substitution. What was your ...

A:

Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is 

Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

A:

Q: find the differential equation of the family of plane curves described. draw at least 3 members of t...

A:

Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

A:

Q: (х+2)? x? - 4 dy 2y + dx х* — 4 |

A: dydx+2yx2-4=x+22x2-4

Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3 a...

A:

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: y" - 3y' + 2y = 0 Find the General Solution:

A: y''-3y'+2y=0This is 2nd order differential equationAuxillary Equation is :m2-3m+2=0solvem2-2m-m+2=0m...

Q: E Homework: Homework 5.4 4 6 in terms of sums and differences of logarithms. 4 9 m'b Express log 4 6...

A:

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

Q: Write the first five terms of the sequence: +00 |{Vn² + 2n – n}n=1 Determine whether the sequence co...

A:

Q: dy/dx% 3 sec 2xsec3y

A: