Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. Find a 10 when a 1 = 5, r = -3.

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 4xyz + 6yz²…

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Q: Find both first partial derivatives. xy x² + y² f(x, y): fx(x, y) = (No Response) fy(x, y) (No…

A: Here we have to find the partial derivative.

Q: Work Problems ( your works 1) Let F(t)=(4t — t²)i+t² j+sin(5t — 10) k a) ... :) Find the unit…

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Q: 7. Use the graph to determine the intervals on which the function is increasing, decreasing, or…

A: 7)  from given grap  (oo ,-2] decreasing and [-2,oo) increasing Minimum at x=2 value is -2 8)(oo…

Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (17xy + xz +9yz)²].…

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

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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: 3) Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

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Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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

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Q: Integrate √ 2²4 x²ln(x) dx.

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 18 and with its…

A: You need to understand the question by reading it properly and then draw the figure required for…

Q: f x 5 1x² =9) ² du for (x73)

A: This question is based on solution of indefinite integral by substitution method.

Q: Consider the accumulation function A(z) = Calculate A(5) Question Help: Video -1² (4t +9)dt Submit…

A: This question is related to definite integration, we will solve it using given information.

Q: = Which of the following represents the shaded area between y J(a) and y = g(x)! 8 6 2

A: We are asked to find which is represented for shaded area between the curves

Q: B A 15. 12 F E D Apply the repeated nearest neighbor algorithm to the graph above. Give your answer…

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Q: Use a calculator to find cos(-0.4092) in radians and degrees. Find the answer in radians. cos…

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Q: Integrate S 2x² (x − 1)(x² + 1) de using partial fractions.

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Q: Set up, but DO NOT SOLVE, an integral that can be used to find the volume of the solid obtained by…

A: Solution is given below:

Q: ex-4e-x ex 2 x-² / + C ex Option 1 dx 2 x + ² + C ex O Option 3 x+2 ex + C O Option 2 x-2e * +C O…

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Q: Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.   1.…

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Q: For the function f(x) = sin² x, find the absolute maximum value M and the absolute minimum value m…

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Q: Evaluate the indefinite integral 9ds s ln(88)

A: We can solve this as follows:

Q: In reference to the following function:  f (θ) = (θ − 3) cos(θ) Write down an expression,…

A: use the polar curve to find the expression of the area.

Q: Integrate fx Sx O cos(4x) dx (sin(4x) - x sin(4x)) + C cos(4x) + 4x sin(4x) + С (4x sin(4x) +…

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Q: +5t, y=s - 5t, z = st² d aw/ot by using the appropriate Chain Rule. d aw/at by converting w to a…

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Q: For f(x, y)= e sin(25x), evaluate fy at the point (77, 0). Of,(7,0)=50 O fy(7,0)=0 Of(7,0)=51…

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Q: Which of the following is dž for t = 1 if dz dt 2t Z = In(x²y³), x = e¹ and y = e²¹ ? Select one: O…

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Q: List the first five terms of the sequence. a1 = 3, an+1 = 5an - 5 a1 a2 a3 = a4 = a5 =

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Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = 2³ as follows. Let x1 = 2…

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Q: Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level…

A: Given that, the function is z=c=x2+3y2 and c=0,5,7,9,11,13. For c=0 the function c=x2+3y2 becomes…

Q: Use Newton's Method to estimate a root of the function f(x) = x + 2 - e Use the initial estimate 1 -…

A: We need to find x7.

Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 21 = 13 dy dx ||

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Q: Identify the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0

Q: Find the exact value of the expression in radians and degrees. -¹(2) -1 sin Find the exact value of…

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Q: Find the power series representation of the following functions 3x (a) f(x) = 2x+7

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Q: -1 0 -t³+1 2 3+² e dt

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Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Integrate farcsin 3x da Select one: O A. xarcsin 3x + √1-9x² + C O B. xarcsin 3x + √1-92² +C O C.…

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

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Q: 1. Find for 2³-y³+r²y = 10

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Q: Work problem 2 ( } Let w(u, v) = 5u – 5v + u² − 5v³, u = cos(2t) and v = sin(3s). - Use chain rule…

A: we will use chain rule yo find derivative.

Q: Find critical value -5x^3+15x+3

A: This question can be solved using the concept of critical points of a function.

Q: Decide if Rolle's Theorem can be applied to f(x)=x² - 4x² + 4x² +1 on the interval [-1, 3]. If…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: The Doyle Log Rule is one of several methods used to determine the lumber yield of a log (in…

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Q: 6x − 3y + 2)dx − (2x − y − 1)dy = 0

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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…