proj„b is always less than |5 1|

Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: Test the series for convergence or divergence. 1.9. 17 · 25 7. 12 · 17 · 22 1 1.9 1.9. 17 + 7. 12 · ...

A:

Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at x...

A: Topic = Functions

Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that...

A: This question is related to cone and rate of change, we will solve it using given information given ...

Q: dw for w = dt xez,x = t2,y = 1– t,z = 1+ 2t. e the Chain Rule to find

A: Given query is to find the derivative using chain rule.

Q: Find a formula for the linear function with a slope of 8 and a y-intercept value of 8. Use x as the ...

A:

Q: Let y be the part of the curve y = x² running from (-1,1) to (2,4). Calculate xy dx + (x + y) dy.

A: (1)

Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t = 2n. %3D 2. Find the length o...

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1). Giv...

Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4) 

Q: x-7x3+101 g(x) = ズー1

A:

Q: Use implicit differentiation to find and for x? + 2y2 + 3z2 = 1. əx ду

A:

Q: Calculate the improper integral if it converges, or show that it diverges. 3x4 dx 5 – 1 -

A:

Q: A scientist is trying to find out how sleep quality and class attendance affects student test scores...

A: Given that, There is a table of sleeping hours (z) and lectures (x) for giving the grades to the stu...

Q: 8. Evaluate the limit. VI +5+ (In x)10 3/T+10+ (In x)20 (a) lim

A:

Q: Horizontal, vertical, and slant asymptotes using limits

A:

Q: popsicle is taken out of the freezer with an internal temperature of 32◦F and is allowed to warm in ...

A: Given problem:- A popsicle is taken out of the freezer with an internal temperature of 32◦F and is a...

Q: 1) appropriate and explicit substitution: Reduce the following integrals to polynomial type integral...

A:

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

A:

Q: 3. Complete the table for the function: y 21 Xy a 0 b 4 C 6 a= b= 2.

A: Topic = Function a=2 b=4 c=5

Q: A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at th...

A: A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at th...

Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

A:

Q: Evaluate the following expression. 1 arccos Report your answer as a simplified fraction. Provide you...

A:

Q: Consider the following. y = 2x5 + 5x* – 10 (a) Find the critical values of the function. (Enter your...

A: The given function is: y=2x5+5x4-10

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: ed Help? Read it

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A: Given:       y = √(4-x2 )

Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

A:

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: x*+2х+3

A: We can find the integration as below.  

Q: Sy²e3»dy

A:

Q: Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line join...

A:

Q: Find: Zx, Zy, Zxy Zyx , Zxx Zyy Xy 군= e Lny

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given query is to find series converges or diverges.

Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant ) ...

A:

Q: The graph below shows the influence of the of the temperature T on the maximum sustainable swimming ...

A: Given:   Graph is given

Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. IT f(x) = sin x, a = - 4 Po...

A: Taylor polynomial

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A:

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 3n n!6 ...

A:

Q: Find the slant asymptote with limits

A: Given function f(x)=(x-2)(x+2)(x+1)(x+3)(x+1)

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

A:

Q: Find the average velocity over the interval [1,4] Find the average velocity over the interval [1,1 +...

A:

Q: 3. Consider the curve C defined by the vector-valued function R(t) = -2):+-3)j+ cos(t – 2)k, - oo <t...

A:

Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42