Write the first five terms of the geometric sequence. a 1 = 6; r = 3

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. ... √13 1 5…

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Q: Əw əx aw ду Əw əz rentiate implicitly to find the first x² + y² + z²-7yw + 10w² = 9 11 || partial…

A: We can solve this as follows:

Q: Determine the continuity of the function f(x, y, z)= O continuous except at (0,5, 0) O continuous…

A: topic- continuity of a function

Q: The rate of change of N is inversely proportional to N². IfN (0) = 4, and N(2) = 6, what is N(5)? O…

A: The rate of change of N is inversely proportional to N2N(0)=4 and N(2)=6

Q: Find and simplify the function values. f(x, y) = xy

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Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Find fx, fy, and f, and evaluate each at the given point. f(x, y, z) = x²y³ + 2xyz - 6yz, (-3, 1, 3)…

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Q: X 1. Find 1- x³ 1– + 0 x + 1 lim

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the…

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Q: Find the interest earned on $30,000 deposited into an account paying 2.5%. Round to the nearest…

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Q: he method of variation of parameters to determin on of the given differential equation. y"" — y'′ =…

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Q: X f f(x) = (2x+1) ³ (x-3)4 then f'(0)= Selected Answer: 1

A: In this question we have to find first derivative at point zero.

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: 15. Write an equation for the transformation of f(x) = |x| shown in the graph below. +

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16…

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Q: Recopy the picture onto your paper for best results Given: mLBEC = 46°, mzDEC = 29°, CD=7, AD=8 B C…

A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+ z² = 93 дz əx дz…

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Q: (a) √ (cos r - sin r) da (b) / cot² x da

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Q: Integral of sin^3 x dx over cos^4 x

A: In this question we have to find the Integration.

Q: Find the total differential. z = ex tan(y)

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Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: Determine the general solution of the differential equation

A: Follow the procedure given below.

Q: u⃗=5i⃗−j⃗− k; v⃗=−i⃗+5j⃗+8k.  Find the projection of u ⃗ onto v :⃗

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Q: Question 3 Find a vector-valued function, using the given parameter, to represent the intersection…

A: We need to find r(t).

Q: II. Anti differentiate the following. C. (ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS) (a) √ (cos r -…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

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Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√y + 4y². (b) fxyx of the…

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Q: At what point do the curves r₁ = and r₂ = intersect? ( ) Find their angle of intersection, 0…

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Q: Apply the Mean Value Theorem tof on the indicated interval. Find all values of c in the interval [a,…

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Q: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: Differentiate and simplify this function:  e√t^2+t+1 - e-√t^2+t+1

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Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

A: To sketch the graph of the parameric curve ,first we find  x and y values corresponding to each t…

Q: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is exact. B) Solve the…

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Q: (a) [2 2 2x dx

A: Note: As all are different questions, as per our company guidelines we are supposed the answer the…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Find critical points by putting derivative of f  equal to zero

Q: 3s + 12 망 (s + 2s + 10) x(t) = L-1

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Q: Question 12 Find a at time t = 1 for the plane curve r(t) = 4t²i+ 3tj. Round your answer to three…

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Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

A: Let's find minimum cost and it's dimensions.

Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: 7. (a) Use the Maclaurin series cos x = 8 k=0 (-1)^2k (2k)! (b) Use the Maclaurin series ln(1 + x) =…

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Q: Solve the following first-order linear differential equations. Simplify your answers. dy dt y = 0,…

A: We can answer the questions as below.

Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

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Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: To find the minimum distance from a point to a paraboloid is just to minimize the function…

Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,