e3x _e-3x Y = e3x +e-3x]

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх — 15у - 32 5 2х - 10y - 22 -…

A:

Q: lim2

A: Explained below

Q: 1. What is true about the behaviour of the function f(x)- from the right as x → 4x + 5 towards the…

A:

Q: ) y^2=(x^2 - 9)/(x - 4) b) y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry,…

A: Given

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

A: The multiplicity of the root is 2.  Hence, the curve will either remain on the one side of the…

Q: In AABC, AC > AB. The b ZBAC meets BC at D. Pro

A:

Q: 1, ship A is 70 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing north at…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given: (2,3,-6) Perpendicular to j vector

Q: y = In (*+1) °(x+1), (x+2)3

A:

Q: Evaluate the limit of f(x) numerically or state that the limit does not exist. 5x? – 180 f(x) = x +…

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Q: Find the average value of f(x) = over the interval [0, 1]. (3x2 + 3)² Enter the exact answer. fave

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Q: Find all values of c such that f is continuous on (-, ). 9-, f(x)3= C = (smaller value) (larger…

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Q: A swimming pool has a depth of 9 ft at the shallow end and 18ft at the deep end. The bottom of the…

A:

Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: sinx Cosxdx

A:

Q: (a) Differentiate f(x) = Vx+4 by using the first principle. (b) Differentiate the following…

A:

Q: III. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x - x? 12+ x? 2) Lim X 00 X

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Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: Evaluate limx->-12     x2+12 / x2 + 27x + 180

A: We will evaluate the limit as following.

Q: A balloon is released from the ground 60 meters from an observer. The balloon rises directly upward…

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: 15. Which of the following has terminating derivative? 1 1. у %3 Зх3 — 2x2 + х-1 —5 II. y Зx+2 1 . у…

A: We will find the terminating derivative.

Q: Find parametric equations for the line whose vector equation is given (а) (г, у) — (6, —5) + t(1,…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Explanation of the answer is as follows

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 6) V = O parallel O…

A: The given vectors,    u=2, 6, v=32,-12

Q: Find the area of the curve r²=16cos(theta)

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Q: 3. For Z = x²secy,prove that Zxy is equal toZyx

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy 3D0

A: The given DE is of the type: Mdx+Ndy=0 where  M=2x-3y+1 & N=-(3x+2y-4)⇒My=-3, Nx=-3⇒My=Nx

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

A:

Q: Two boats leave a dock at the same time. One boat travels south at 16 mi / hr and the other travels…

A: Let's find.

Q: 21 dy d-y Consider the curve x = y'. Use implicit differentiation to verify that and then find %3D…

A: answer of given question is in step 2

Q: Similarty, evaluate f(x) for the values below, and complete the table. 4 3.5 3 2.5 1.5 f(x) 1.75 3…

A:

Q: Consider the following. u = (5, 0, -9), v = (8, 7, 3) (a) Find the projection of u onto v. (b) Find…

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Q: Sketch the region enclosed by the curves and find its area 3 x = 0, y = 1, y = e3 NOTE: Enter the…

A:

Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: y=Cx^2 and y=lnx find C where the graphs are tangent to each other

A: We have to find the value C.

Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

Q: 3. Find the first 4 terms of the Maclaurin series expansion for each of the functions below. sin 2r…

A: We have to find the maclaurian series expansion.

Q: dx J 2x+Vx 1.

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: 10. complete and

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Q: 4. Express the following integral as a product of one-dimensional integrals, where E is the region…

A:

Q: dy 1. Evaluate the dx for parametric equations x = 2t? – 4t and y = t2 – 2 with respect ot the…

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Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

A:

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

A: Parametric equation of a Line has of the form    x = x1+at  ; y=y1+bt ; z=z1+ct ; where ,…

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 5y +z = 6 x + 3y + 7z = 1 O…

A: We can solve the given problem as follows:

Q: If C(x) = - )=1x²+ 3x +67 is the total cost of producing x units of a particular commodity and p(x)…

A:

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

A: