Write the equation of a sine or cosine function to describe the graph. `y 4+ 3+ 2- 87 10n | -1 3 3 3

Q: dz (a) Find of the following functions: dx zx2+1cos y? = sin(y? + 22z)

A:

Q: A light shines from the top of a pole 20 m high. A ball is falling 10 meters from the pole, casting…

A: We sketch lines on the given image as below: Let us assume x = The height of the ball = BG.  y =…

Q: (i) g(x, y, z) = In(3.x²yz); . %3D

A:

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

A:

Q: Find the arc length of the parametric curve. x = 3 cos(t), y = 3 sin(t), z = 4t; 0<t<+ L =

A:

Q: cos(6x2) 22.What should be the value of A so that f A · sin(6x?)dx = + C? %3D 4 A. 3x 4x В. C. 2x D.…

A: ∫A.sin(6x2)dx=-cos(6x2)4+CDifferentiate on both…

Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

A:

Q: (c) Determine whether the following function continuous at point (0, 0). Justify your answer. x²-xy…

A:

Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). r(t) = 8 cos(6t)i + 8 sin(6t)j+ 7tk K(t) =

A:

Q: Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean…

A: Use the formula for the average value and concept of mean value theoram.

Q: Use limits to determine all the linear asymptotes of 3r2 if I1. x² + 2x – 3'

A:

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The given parametric curve is: r(t)=cos(πt)i-ln(t)j+t-10k

Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 2. (D2 + D – 2)y = 2x – 40cos2x 3. (D² + 1)y…

A:

Q: List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3…

A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞

Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 3. Find…

A: Polar form

Q: What is the area under the graph of y = 2- x on the interval -2, 1]? X 543-2 44 1 2 4 5 O 6 13 15…

A: Find area under the graph

Q: 1. Let f be a function satisfying the following properties: • continuous on R\{1} • f(0) = 0 and…

A: Solution is here

Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

A:

Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

A:

Q: Find the centroid of the area under the curve y = x² from x-2 to x-4.

A:

Q: (2x3 – xy? – 2y + 3)dx - (x²y + 2x)dy = 0

A:

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Given:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

A:

Q: 993 + 5x + 0.16x2. Use e level of production is changed

A: We have to calculate level of production change .

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

A:

Q: Solve the following differential equation using variation of parameter. 4y" – y = xe"/2; y(0) = 1,…

A:

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Differentiate R and C with respect to time .

Q: Sketch the graph of the given polar equations. 5 17. 0 = 6. %3D

A: sketch the graph using value of theta.

Q: dx x2 + 6x + 25

A: This question is based on definite integral.

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= &lt;4,-1,7&gt;            b =&lt; 4,4,-7 &gt;

Q: 1. If x = cos t and y = sin? t, then dy/dx is 2. Find Zxyx if z = xe?y + ye2x. 3. If s 10 t? + 80/t,…

A:

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and hat a and a + h…

A: Given, y=f(x) is the function with the graph. a and a+h are the input values(x-values).

Q: For each of the following series determine if the series converg for series convergence or…

A: Given

Q: THe rate of U.S. per capita sales of bottled water for the period 1993–2003 could be approximated by…

A:

Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

A:

Q: Find the Taylor series centered at x 3 for the given function. f (x) = In(x+ 2)

A: Here, the given function is: f(x)=ln(x+2) Now, f(3)=ln(3+2)=ln…

Q: 1 2 1. Find the area bounded by the curve y =x² + 5, the x-axis, and the vertical lines x = 2 and x…

A:

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

A:

Q: S se ex dx

A: LetI=∫sec3(x)dxI=∫sec2(x)sec(x)dxApply integraion by…

Q: Find the absolute maximum value on (0, 0) for f(x) = 5x– 4x In x. %3D Select the correct choice…

A:

Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: 5x? V1 – x³ dx 3. ith the use of the substitution, u = 1 – r³.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

A:

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: What is the area of the region bounded above by y = -x- + 8 and below by y = x? 54 $2 14 1 23 4 5 64…

A: This is a problem related to integration. Based on the formula of area bounded by given region we…

Q: Write the equation of a sine or cosine function to describe the graph. `y 10n 3 3 3 \3 -1 -2

A: