Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation is: x = Ay² + By + C where A = and B = and C=

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r=40.1…

A: We have to given volume of sphere in term of r

Q: Find the length of the curve for the interval 1 ≤ x ≤ 9 3 = √ √ √ ² ³ - 1 d dt 1 Select the correct…

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Q: 5. f 3√xdx

A: Topic = Integration

Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

A: We check the given statements are True or False.

Q: puit 2 x³ = x²y sir (22²) X tije xp

A: Solution of given question is written in below steps.

Q: 0 = ^pz(Az + x) xpxx

A: Let's solve given diffrential equation.

Q: H.W: find dz and dz as functions of u and v if: ди Əv z = 4e* ln y, x = ln(u cos v), y = u sin v

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Q: Differentiate ex with respect to x, assuming that y is implicitly a function of x.

A: Here we have to use the concept of implicit derivative

Q: Find the Wronskian of the functions f(t) = 6e sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A: The given functions are;  f(t)=6etsint and g(t)=etcost.

Q: By using trapezoidal rule, n=2, The integral = π/2 sin (x) dx 0.9444 O 0.9481 O 0.94809 O 0.9482 O…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Find the limit of the given equation at infinity

Q: B-Find the area of the region inside the curve 1+cos@ and outside the curve -1 and graph the two…

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Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

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Q: 5 sin-¹ (²-)). 6 Determine the exact value of sec sin Note: Be sure to enter EXACT values You do NOT…

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Q: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

A: Given problem:-

Q: dx S. √√x

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Q: T.

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Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞o). Verify that…

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Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: Which of the following is the equation of a sphere with radius r = 3 centered at the point…

A: Given that radius of the sphere is 3 and the center of the sphere is -1,0,-2. We have to find the…

Q: x cos 3x dx

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Q: 5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. raph the two…

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Q: The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of…

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Q: Use a system of linear equations with two variables and two equations to solve. 204 students…

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Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Which of the following is a unit vector parallel to the vector? Select one: 81, 81 81 3.0,- /> None…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: / Find Lim X. tan' 2 X X-100

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Q: The z-transform of [n] = u[-n] is

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Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: Problem 2. Solve these integrals using integration by parts 2x - 3 -da, er (a) [ 27 (b) logą (r)da,…

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Q: O a = 5i - 4j + 3k and b = 15i 12j + 9k. -

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Q: Which of the following point is the projection of the point (0,4, 2) on the yz-plane? Select one: O…

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Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: Calculate the derivative. y = tan -T y = 2+x 2 - x (Express numbers in exact form. Use symbolic…

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Q: 4. 4 1 [x²ydxdy 20

A: The given double integral is;  x2y, x from 0 to 1, y from 2 to 4.

Q: True or False: The definite integral is equal to Select one: O True False 1² (x² + 3e*)dx [²x²dx + 3…

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Q: Evaluate 3 4 [*√v -√²+ = - = + 1 x x = [ 3 X4 15.125 -15.512 None of them 1.5215 15.215 15.512…

A: Application of integration

Q: Jennifer's investment account balance grew from $400 to $432.76 in months. What annual rate of…

A: Topic = Algebra

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: Choose the angle (in radian) between the following two vectors u = and U = O 2.059 00 O None of…

A: We know that angle between two vectors a and b cos(θ)=a.b|a||b|

Q: 1. 11 0 y x²exy dxdy

A: ∫01∫y1x2exydxdy