Assume cos(t) = - where

Q: 1. Refer to the hexagon pattern below. ASsume that each edge of the hexagon measures 1 cm. Assume th...

A: H(n) be the function describing  the perimeter as a function of the shape number.

Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

A:

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

A:

Q: Sv-4 - y-3) dy

A:

Q: (g) sin vt dt.

A: Intigrating the given equation. 

Q: The set of complex number, write in roster method (at least 10 elements) and set builder notation

A:

Q: (x+1)dy = (2xe* – xy – 2y)dx

A:

Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

A: topic - exponential function

Q: S(x) 3

A: The objective is to find the limit.

Q: Explain why the function is differentiable at the given point. Then find the linearization L(x,y) of...

A: The given function is: f(x,y)=y+sinxyGiven point is:  P=(0, 3)

Q: A corner of a portrait oriented A4 sized coupon bond in millimeter is folded over so as just to reac...

A: Given: A4 size paper with dimensions 210 x 297 mm  (general dimensions) The corner is folded over so...

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A: All the solutions are given below.

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

A: Let x=0.904818181818... Multiply 1000 on both sides.

Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the poi...

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.

Q: Let R be an equivalence relation on A - {a,b,c,d) such that a Rc and bRd How many distinct equivalen...

A:

Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

A:

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

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Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,...

A:

Q: Let f(x) = and calculate x(In(x)) f(x) dx by using integration by substitution. What was your substi...

A: Given that: f(x)=1x(lnx)6

Q: Factor the difference an+1 – a, to show that the given sequence {a, } is strictly increasing or stri...

A:

Q: 1. Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y...

A:

Q: Write the first five terms of the sequence: 17 ln n n Determine whether the sequence converges, and ...

A: We will find the first five term of the sequence and also find the limit if given sequence is conver...

Q: Find the equation of the plane that contains the point (3, 2, 3) and the line  x = -4 +4t, y = -3t,...

A:

Q: tan x sec xdx

A: Follow the procedure given below.

Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the s...

A: We need to find dimension of an open box that maximizes the volume.

Q: Fill in the blanks with an appropriate word, phrase, or symbol(s). The set of numbers {0, 1, 2, 3, 4...

A:

Q: dw 12. Let w = xey/z. Find the value of -at x = t?, y = 1-t z=1+ 2t dt

A:

Q: ind by implicit differentiation if y is defined as a function of x by the equation xy' + x? = x + 3y

A: Topic = Differentiation

Q: dy (8y – a²y) + x – xy² = 0 dx

A:

Q: 5) Given a curve y = f(x) has a tangent line y = 3x - 4 at a point (- 2, 1) and a tangent line y = -...

A: Topic  = Derivative As per guidelines , At a time only one question can be answered.

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A:

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: Let f(z) = |r - 5|. Evaluate the following limits. S(z) - f(5) lim Z-5 エー5. f(z) - f(5) lim Z-15 I -...

A: Given function f(x)=x-5 use the concept  for h>0limx→a- f(x)=limh→0f(a-h)limx→a+ f(x)=limh→0f(a+h...

Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

Q: а. f(x) %3D х-5

A: Given: a) x-5  

Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: We have to find sequence is convergent or not and also find its limit.

Q: Use the Simpson's Rule to approximate the given integral with n= 8. (Find Ss.) Round your answers to...

A:

Q: an be sold at a price of Sp. For x-p"-7p+600, find the rate of change of p with respect t ...

A:

Q: y" - 3y' + 2y = 0 Find the General Solution:

A: y''-3y'+2y=0This is 2nd order differential equationAuxillary Equation is :m2-3m+2=0solvem2-2m-m+2=0m...

Q: Set up the definite integral that gives the area of the region. Y1 = x2 – 5x Y2 = 0 dx 3 * 4 6 12, -...

A: Area of the Region bounded by the curves :If f(x) and g(x) are two continuous function on a,b and f(...

Q: Solve. 2 In x= -8 ... Select the correct choice below and, if necessary, fill in the answer box to c...

A: I am attaching image so that you understand each and every step.

Q: The temperature T (in °C) at a location in the Northern Hemisphere depends on the longitude x, the l...

A:

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

A: