y 5- (-2, 4) 4 3+ y = flx) (4,0) (0, 0) (4, 0) +++ -5-4-3-2-11N 2 34 5 -2+ -3- (2.-2) -4- h(x) = f(}x)

Q: Find the mass of the lamina described by the inequalities 0 ≤ x ≤ 2, 0 ≤ y ≤ 4 − x2, given that its ...

A: to find the mass of the lamina

Q: X-3 x+2 lim x-3 (x-2/x²-9 Select one: O a. 1 o b. c. 0 d. 516

A: Given that limx→3 x-3x-2x+2x2-9. Compute the limit as follows.  

Q: (a) Use differentials to find a formula for the approximate volume of a thin cylindrical shell with ...

A:

Q: Suppose that the region between the x-axis and the curve y = e-2x for x > 0 is revolved about the x-...

A: The region is between the x-axis and the curvey=e-2x for x≥0 is revolved about the x-axis.          ...

Q: Sketch the plane curve represented by the parametric equations x = 6 cos t, y = 4 sin t, π ≤ t ≤ 2π ...

A: Given  x = 6 cos t, y = 4 sin t, π ≤ t ≤ 2π

Q: If u = f(y– z, z – x, x – y), then Up + Uy + Uz =

A: u=fy-z, z-x, x-y Let p=y-z, q=z-x and r=x-y. ∂p∂x=0 , ∂q∂x=-1 and ∂r∂x=1 ∂p∂y=1 , ∂q∂y=0 and ∂r∂y=-1...

Q: 9. csc? u du = - cot u + C

A: To prove  ∫csc2udu=-cotu+C

Q: Exponential limit Prove that lim (1+) = ", for a + 0. %3D

A: Given: prove that limx→∞1+axx=ea, a≠0 for evaluating given limit, we solve left hand side for that w...

Q: The parallelogram shown here has vertices at A(2, -1, 4),B(1, 0, -1), C(1, 2, 3), and D. Find the co...

A: The parallelogram has vertices at    and D. (a) The parametric equations of line BA is,

Q: Express the solutions of the initial value problems in terms of integrals. dy dx = √(1 + x2), y(1) =...

A: Consider the given equation as dx=1+x2dy

Q: Graph the equation : y = √(x + 2) - 1; Use transformations of the graph ofy = √x.

A: Given: fx=x+2-1, gx=x graph of fx by using graph of gx can be drawn as below here, blue one is grap...

Q: In an oil refinery, a storage tank contains 2000 gal of gasoline that initially has 100 lb of an add...

A: We know that, dydt=Inflow rate - y(t)v(t)(outflow rate) According to the question v=2000 gal+40 galm...

Q: Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) y1...

A: Differential eq: y1'=-y1y2'=9y2y3'=y3Here, y1'=dy1dt, y2'=dy2dt,y3'=dy3dt

Q: Hello, I was wondering how I should go about solving this. The question is, "A giant spherical snowb...

A:

Q: The radian measure 0 of a counterclockwise rotation is the length along the unit circle of the arc t...

A: we know that angle 0 radian and 2π radian are corrects so, only B option matches 

Q: The rectangular coordinates of a point are given (0, -6). Find polar coordinates of the point. Expre...

A: Given: 0,-6

Q: Use logarithmic differentiation to find dy/dx.

A: y=xx-132x+1,  x>1 Applying natural logarithm on both sides, we get ⇒lny=lnxx-132x+1⇒lny=lnxx-132-...

Q: Determine whether the statement - "Assuming that the innermost circle on this Navajo sand painting i...

A: Given given sign is a unit circle in which A revolves

Q: For the given function ƒ and initial approximation x0 , use Newton’s method to approximate a root of...

A:  Given function is f(x)=sinx+x-1 and x0=0.5

Q: Use substitution and partial fractions to find the indefinite integral.

A: The given integral is ∫sec2xtan2x+5tanx+6dx. Substitute t=tanx  and dt=sec2x dx in the above integra...

Q: Use a right triangle to write the expression as an algebraic expression.Assume that x is positive an...

A: Consider the given inverse function as secsin-11x

Q: Evaluate the integrals ∫(t + 1)2 - 1/t4 dt

A: To evaluate the integral: ∫t+12-1t4dt Evaluating the given integral. ∫t+12-1t4dt=∫t2+2t+1-1t4dt=∫t2d...

Q: exercise uses the population growth model. count in a culture of bacteria was 400 after 2 hours and ...

A: Since you have posted multiple questions, we will solve only first three question for you. To getrem...

Q: The graph of a logarithmic function is given. Select the function for the graph from the following o...

A: From the given figure, it is observed that the graph of function is 0 at x=2.  

Q: State the property of realnumbers being used: (x+2y)+3z=x+(2y+3z)

A: Associative property of Addition - Associative property of addition says that if there are three are...

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: Given: The function fx=3x and gx=3x+1, To sketch: The graph of gx using graph of fx

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar|| 2u||.

A: It is given that u=2i^-5j^, v=-3i^+7j^, w=-1i^-6j^. We have to find 2u   2u=4i^-10j^ 2=162+102=356=1...

Q: Solve the equation log6(4x - 1) = 3.

A: we have to solve the equation log6(4x - 1) = 3.

Q: sin t = 2/3, cos t = √5/3 are given. Use identities to find tan t, csc t, sec t, and cot t. Where ne...

A: Given:sint=23cost=53

Q: Calculate the area of the triangle PQR where P = (5,1,-2), Q = (4,-4,3), R= (2, 4, 0)

A:

Q: True or false: When graphing 4x - 2y≥ 8, to determine which side of the line to shade, choose a test...

A: Given, “When graphing 4x-2y≥8, to determine which side of the line to shade, choose a test point on ...

Q: 5) Evaluate the following limits x2 lim x→-00 e-x

A: Given: limx→-∞  x2e-x

Q: Find all zeros of the polynomial function f(x) = 2x3 - 2x. Then graph the function.

A: Given polynomial function is fx=2x3-2x. Factoring the given polynomial. fx=2x3-2x=2xx2-1=2xx+1x-1 No...

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: