1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

Q: Determine the curvature of the graph of 7(t) = (2 cos t) î + (3 sin t) ĵ at the COS point (0, 3) (th...

A: Follow the procedure given below. 

Q: Use the method for solving Bernoulli equations to solve the following differential equation. +7y e*y...

A: Follow the procedure given below.

Q: I sin(z) cos(z) da : Hint:

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Q: Need help with multiple choice!!

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Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

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Q: Find the derivative of the function. Simplify where possible: 32) y=tan^-1(x-(sqrt(1+x^2)))

A: some important Derivatives :   1. ddxtan-1x = 11+x22. ddxxn = n*xn-13. ddxx = 12x4.ddxconstant = 0

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Given the characteristic solution y(x) = C,1-2 + C,r-3 Set up your Particular Solution, then use it ...

A: We have to find out

Q: 18) Let n be the region in the xy-plane bounded by the curves Y=8xx² and y=x². Set up, but do not ev...

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Q: Using differentiation formulas, write the derivative with respect to x of the following. Find the su...

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Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour exact...

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform. 

Q: II. Evaluate the limits. tan 0 2. lim 0 -0 sin 20 (y-#)* 2. 4. lim t 1-sin y y - 2 2.

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Q: 1 Evaluate dV, where E lies between the spheres x2 + y2 + z2 = 9 and x2 + y? + z2 x2 + y? + z2 36 in...

A: we want to find the triple integral ∫∫∫E1x2+y2+z2  dVwhere E lies between the sphere x2+y2+z2=9  and...

Q: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,...

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Q: Let r(t) = -6t2 î+ (t² +3) ĵ + 7 k for t > 1. Reparameterize in terms of the arc-length parameter.

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first ...

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

A:

Q: Find the parabola with equation y = ax? + bx whose tangent line at (1, 1) has equation y = 5x – 4. y...

A: Let's find. 

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: Convert the point from rectangular coordinates to spherical coordinates. (-8, –8, V7)

A: The given point -8,-8,7

Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: Given the differential equation y" - 6y' 16y = 5x 2 Find the Characteristic Solution for the Left Si...

A: We have to find out the characteristics solution

Q: 1. Determine the ORDER, DEGREE and LINEARITY (Yes or No) ORDER DE d² ds t2 - -t=1- sin(t) dt? dt x*y...

A: since we are given with the multiple number of question and our guideline is solve first question on...

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x) ...

A: Topic:- polynomial

Q: A. y= x - 3x + 4 (1, 2) В. х?+4 у? 3 25 (3, 2)

A: Follow the procedure given below.

Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

A:

Q: Which of the following statements is true in finding roots of a function using the bisection method?...

A: Find your answer below 

Q: dy +Zy =0 du

A: Given: dydx+2y=0   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where 'a' is the constant....

Q: dy y = 5x y?, 7.2 dx +

A: Follow the procedure given below.

Q: P(t) = 500e.3t is a transcendental function. True O False

A: Explained below 

Q: Determine each feature of the graph of the given function. За — 6 x² – 6x + 8 f (x) = Horizontal Asy...

A: Given: fx=3x-6x2-6x+8 (a). As we know that, To calculate the horizontal asymptotes, solve the limit ...

Q: n environmental study in a community shows that the level of a certain pollutant in the air is L(P)=...

A: We have ,                L(p)=p ppm                P(t)=70t2+200                 when t= 2010-2000=1...

Q: 4y4+12y²+9) *dy

A:

Q: 5*+1.In5 +C e5 - s*) dx 5 л+1 A) True B False

A:

Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body hei...

A: Given Body mass Index   I=WH2

Q: S(arcsin 2x)²dx

A: Given that a integration of (arcsin2x)2. We solve this integration by using general formula of the i...

Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 15...

A:

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end...

A: Given :Directed distance s from the origin at the end of t seconds is t3-6t2+9t feet.To find :When i...

Q: 16. The first derivative of the function f is given by f'(x) = 3x* – 12x'. What are the x-coordinate...

A: Given: first derivative of a function as f'(x)=3x4-12x3To identify the points of inflection of x-coo...

Q: Evaluate: Je(4-)dx

A: Given: ∫e(4-x)dx

Q: (1) The number of organisms of a certain bacteria at time t can be modeled according to the function...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Since I can not b...

Q: Find the surface area of a square-based pyramid whose lateral faces are isosceles triangles with bas...

A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: 2. /v x 10 – 3x6dx

A: Given query is to eveluate the integral.

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: dy (10) (8у — х?у)+x- ху? — 0 dx

A:   Note:- Since you have asked multiple question As per our policy, we will solve the first question ...

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A: Note :- This is multiple subparts questions. And according to our company guideline we can do maximu...

Q: Then (In (evz) +e VE) = %3D O True False

A:

Q: Differentiate the function. H(x) = (x + x=1)3 %3D

A: Important formula ddxxn = x(n-1) (a+b)3 = a3 + 3a2b +3ab2 + b3