y 37° 15

Q: 1. (x2 + y2)3 = a*x2

A:

Q: Q4:Find the relative extrema of f (x) I+3 I- 2

A:

Q: 9. How does the graph of the function g(x) = 4*+3 differ from the graph of f(x) = 4? a. It is transl...

A: Given 9. for vertical translation  f(x)→f(x)+a if a > 0 it translate a units up if a < 0 it t...

Q: A tank that is 8 feet deep, with a square bottom with sides 6 feet each, has 3 feet of oil that weig...

A:

Q: Evaluate the integrals of the following:(Show clear and clean solutions) 1.S (e2t + e-t)²dt

A:

Q: f (t) = eat+b

A: The solution is given below:

Q: Evaluate | sin2xlogtanx dx

A: We use some trigonometric identities.   1) sin(π-x)=sinx. 2) log A + log B = log (AB) 3) tan x . Cot...

Q: Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 90 sin...

A:

Q: 1 8. dy 2y + 3y

A:

Q: TOX Evaluate the lim ços 3

A: This question is related to limits, We will solve it using given information.

Q: cos2A-cosA Simplify f(A) = ,if f(A) = 1 %3D sinA

A: Given: f(A)=cos2A-cosAsinA

Q: Using differential equation, find the general SIDE B solution of the following equation below from y...

A:

Q: Determine the largest interval over which the fu Vx+2 is continuous.

A:

Q: 2х-3 2. f(x) = 2х-8 %3D Domain: V.A.: bns ylivsonoo to alevietni sa5 Н.А.: Crit. Pts.: Incr: Decr: C...

A:

Q: Question 3 Find the volume of the indicated region. The region bounded by the coordinate planes, the...

A: Solution is given below:

Q: Calculate the compound amount from the given data: principal = $7000, compounded semiannually, 8 yea...

A: Given: Principal = $7000, Compounded semiannually, time = 8 years, annual rate = 8% So,           A ...

Q: 10x? .2 +11гу + у? lim (л,у) —(-1,10) 10а2 — 39ху — 4y2

A:

Q: Question 1 Suppose that the differentiable function y= f(x) has an inverse and that the graph of f p...

A:

Q: Ace of Diamonds purchased 64 diamond bracelets at $245 each and the regular selling price was $350. ...

A:

Q: Determine y'of (3x + 1)*(2x – 1)³

A:

Q: Evaluate the limit: 5x3 - 7 lim 2x3/2 - 8

A:

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,...

A: The function is given as , fx,y,z=xy-xy2z2 find the directional derivative at point P1,-2,1 in direc...

Q: 3. Use the given graphs of the first and second derivative of a continuous function to answer the fo...

A: To find:- From given graph A. Set up a number line to represent where f'(x) is positive, zero, and n...

Q: 3 f(x) = x² – 3

A:

Q: Determine the volume of the region enclosed by the graphs of z = f(x, y) = (x − 1)2 + y 2 and z = g(...

A:

Q: er diverge weDedecmineif thefallawing serier converge 20 Ln n 2- 4E4

A:

Q: Sz sec2ysin4ydy

A: We have to evaluate given integral.

Q: Evaluate the integral. (x² + 2)e¬× dx

A: To evaluate:∫01x2+2e-xdx

Q: 5. Sketch the reciprocal of y= (x- 1)'(x + 3) (x- 4) (Label intercepts, all asymptotes clearly, if t...

A: Given that: y=(x-1)3(x+3)2(x-4)

Q: Use the properties of integrals to verify that 2 < V1 + x² dx <2/2

A:

Q: Consider the curve r= (t,1–2t²,-1-2t?), t= – 1 Find the equation of the normal plane of the curve at...

A:

Q: secA + tanA is equal to

A: Given:  To Find: To simplify the given expression.          

Q: Solve the following problem using Homogeneous Coefficients

A: Follow the procedure given below.

Q: Find the indicated value of the function V(r,h)=πr2h. ​V(4​,5​)

A: Value of function can be found by substituting/replacing variables by given point

Q: Differential Equation Question 2 Refer to the image below. If the Particular solution of the differe...

A:

Q: Evaluate the line integral along the given path: 1. So ry ds, where C : r(t) = 4ti + 3t²j, 0 < t < 1...

A:

Q: dy Given that y = ³ – 3a? +3x, find dy Hence show that da > 0 for all æ, and interpret this in terms...

A: Solve by differentiation

Q: Voronoi Diagrams The Voronoi diagram below shows the location of fire stations in outback Queensland...

A:

Q: x-1 1. Determine the limit of- x2. 32-1 /x² as x approaches 1

A:

Q: t 1 tiable at t = 1.

A:

Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A. 25 10/3? B 26

A:

Q: The graph of x +y = 225 is a circle having center at the origin and radius 15. %3D a. Write the equa...

A: Given:- The graph of x² + y² = 225 is a circle having center at the origin and radius 15. To find:- ...

Q: In the text we obtained the result (Vx F) = F, OF, ду C3 P (Xp, yo, 0) by integrating over a small r...

A:

Q: 1. Determine whether F(x, y) et sin yi + e" cos syj is a conservative vector field.

A:

Q: salesman at a furniture store that is costs $4400 to produce 10 tables and $9600 to produce 300 tabl...

A:

Q: Find the position function from the given velocity v(t) = (10, – 32t + 4), r(0) = (3,8) a. (10t +3, ...

A: Given:- v(t) = &lt;10, -32t+4&gt; , r(0) =&lt;3, 8&gt; To find:- Position function from given veloci...

Q: QUESTION 1 For the parametric line L: x = 4+t, y = 3+t, z= 3-2t and the plane P: -y= x+ z + 2, then ...

A: topic : line and plane line and plane are parallel to each other

Q: Find the value of k so that the remainder is 4 when x – kx² + 2x – 8 | is divided by x + 3.

A: According to reminder theorem, if a polynomial p(x) is divided by the binomial (x—a) then the remind...

Q: 4. (3sin y- 5x)dx +2x cot ydy = 0 Ans. x'(sin y-x) = csin²y

A:

Q: 5. Use the comparison test or limit comparison test to determine whether the following series conver...

A: