- cos (3.xz) = 5 defines z as a function of x and y. Differentiate implicitly to Assuming y az find dy

Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

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Q: Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

A: We have to find out limit

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Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

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Q: i=1 + 20b;)

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Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

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Q: Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0…

A: We have t

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: The guen

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Q: etermine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = -x + 7 6. g(x) = = y 81 6 2 bo 2.

A: We can find the area under the curves as below.

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: Find the average value of the function f(t) = 4 t sine) on the interval [0, 20]. Round your answer…

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Q: d the area of the region bounded by the curves y = 3x and y = x².

A: Given query is to find area bounded by the curves.

Q: 3/2 <(のーメ)CK dx 2. 2.

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Q: In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j –…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: Determine the area of the gtven reglon. y = x + sin x Step 1 Note that for the given reglon, x…

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Q: 5y² = 2x³ – 5y

A: Derivative with respect to x

Q: proportional

A: We will solve the problem.

Q: Solve the following differential equation y" + 2y'+y = x-1

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Q: find the area bounded Curve y=V+5, line X=-- 6

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Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

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Q: Find the Taylor series generated by f at x = a. 1 f (x) a =3 4-x

A: Solve the following

Q: Find the parameter k such that the function y cos(kx) satisfies the equation y + 5y" = 0.

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Q: Substitute the values of f(x), a, and b in the Integral from the previous step, and find the average…

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Q: A small home business creates muffins, bones, and cookies for dogs. In addition to other…

A: Here, from the given data, let x be the number if muffins, y be the number if bones and z be the…

Q: 7. (n'-6n +32) (n- 4)

A: Follow next step

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

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Q: Find g'cx) gon= XX dx

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Q: 12

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). (a) Select the…

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Q: 5. Which of the following is (a) n! n=1 80 (b) n=1 (c) E T=D1 (d) -1)" (2n)! T1

A: We have to find out the power series

Q: ng Part I of the Fundamental Theorem of Calculus, evaluate: da t'dt =

A: Given query is to find the derivative of the expression.

Q: Consider the function f(x) — 6ӕ* — 9a? + 10х — 9. - An antiderivative of f(x) is F(x) = Ax* + Bx³ +…

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Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: Use the Root Test to determine whether the series is convergent or divergent. 00 n = 3 Identify an…

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Q: Determine the slope of the tangent line to the ellipse 5x? – 6xy + 5y² = 16 at the point P(-1,1).

A: Follow next step

Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

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Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: Evaluate the integral sin(t)dt

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Q: Find the limit. Show all work. 2x2 – x-3 2. lim X→-1 X+1

A: Use limit concept

Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: owing integral equal?

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