Question 19 If f'(x) = cot²x+1 and f ANSWER: Blank 1 KIN ______ 1, then 1 f(0)

Q: an equation of the tangent line to the curve y In x X at the point (1,0).

A: Given query is to find the equation of the tangent.

Q: List the first five terms of the sequence. ₁ = 6, ³n+1 = 2a +5 21 22 N 23 لیا 34 25 = |||| =

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Q: Question 3 Textbook and n is and Bis Consider the function f(x) = 6x10 + 3x5 - 9x² - 6. An…

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Q: The final should be 4 no? Not 23/6?

A: Given Vector:- F→x,y,z=lnx+y+xzπ,1+yzsinhy,zey-cosz

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Q: (1) =( 9-1², 7²²_,,sin (√1² −9)) Find the domain of the vector function, r(t) = {

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Q: Factor the difference an+1 n /too 17n + 9 Jn=1 an+1 = an = - a, to show that the given sequence {a,}…

A: Given:- n17n+9n=1+∞

Q: Q3 a. In an oil rig a thermodynamic system, K = A TAS-AH RT where R, K and A are constants Find " dk…

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Q: +∞ 1. Use the Limit Comparison Test to determine if the series > n=1 1 n+ √n is convergent or not.

A: The given series ∑n=1∞1n+n. Using Limit comparison test we have to check the series is convergence…

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Q: The degree three Taylor polynomial of a function f about x = -1 is: T3(x) = 4 − (x + 1) − 4(x + 1)²…

A: Given:- T3x=4-x+1-4x+12-3x+13

Q: Solve the following DE: x³ydx + (3x4-y³) dy = 0 O 15x5y 10 2y ¹2+ C ○ 4x6y 10 = 3y ¹2+ C 12 O 15x4y…

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Q: Given function f(x) = 144 x² + 12 a. Find f'(x) and f"(x) b. Determine the following properties of…

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Q: •2πT Jo 0 cos x dx

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Q: b(x-2)²(y-3)² + 20 36 = 1

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Q: L.

A: we have to find taylor polynomial of function  f(x)= ln x of degree 4 centered at 1     f(x)=lnx…

Q: Evaluate the given integral by making an appropriate change of variables. <-8y 1₂ dA, where R is the…

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Q: Express the sum without using sigma notation. Simplify your answer where possible. 10 Σ n = 8 xn

A: The given sum is sum of 3 terms of geometric progression whose first term is x8  &amp; common ratio…

Q: Given tan theta = 1  evaluate (without using a calculator): cot (90º - theta)  and  sec theta

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Q: Determine the type of DE: x³ydx + (3x*- y³) dy=0 Homogeneous Bernoulli's equation Both Homogeneous…

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Q: of the foci, vertices, and covertices of the ellipse with Give the coordinates x² y² equation + = 1.…

A: We have to find the coordinates and graph the ellipse.

Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

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Q: Graph the function f(x)=x2-1 over the interval [0, 2] Partition the interval into four subintervals…

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Q: 1. Consider the function f: [-3, 2] → R defined by f(x): = x² + 4x when 3 x < 0; -x³ + 9x² - 15x…

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Q: What is a function? What is its domain? Its range? What is an arrow diagram for a function? Give…

A: Definition of function: A function is defined as a relation between a set of inputs having one…

Q: Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) = 2. f(n)(x) = 3. f(n) (x) = 2ne2x+4 1 - n!…

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Q: Find and classify the critical points of z = Local maximums: Local minimums: Saddle points: (x² -…

A: Multivariable calculus

Q: 3) Solve 24x-8 = 16 without using a calculator. 3 4) Separate log₂ (√x²√) into a sum of logarithms.

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Q: Setup, but do not and the curve y

A: aaccording to bartleby guide-line we do only first part of multile questions please repost other…

Q: 2. f'(-0.1) -5.84 3. f'(-0.1) -5.74 4. f'(-0.1) -5.64 5. f'(-0.1) ≈ -5.54 (iv) Use p4 to estimate…

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Q: ¹/₁ F. dr, where C is given by the vector function r(t). F(x, y, z) = sin(x)i + cos(y)j +xzk r(t) =…

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Q: If f(x) = x+1 x-2' then f is continuous on (2, 4). The statement is O a. True O b. False

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Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: formula used is  W=2πTT=2πWx=7cost  y=-7sint

Q: Solve the following initial-value problem: O3 9 dy dx 9 +y²=1, y(0) = 4 y² = 1+ 7e 3 3x y² = 1+ 7e ²…

A: To solve the given differential equation

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Q: Perform a first derivative test on the function f(x) = 2x³ + 6x² − 48x+6; [− 4,6]. a. Locate the…

A: Maxima minima

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: The function f(x) = - 2x³ +36x² = This function has a local minimum at x = with value and a local…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question: 1. Find the vector equations, the parametric equations, symmetric equations of line 1.…

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Q: Evaluate lim X-8 999x1000 + sin x x1000

A: Given :limx→∞999x1000+sinxx1000

Q: ii. 1. A diver jumps off a springboard 10 m above water with an initial upward velocity of 12 m/sec.…

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Q: Evaluate the definite integral. 6.³ 0 2 1 + 1x² -dx

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Q: u

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Q: x² 2 - 4 - lim x +∞ x O a. O b. +∞o O c. 0 - - O d. 4 -∞ O e. 1 O f. 2 O g. -4 Oh. -2 2 = O i. None…

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Q: Find the particular solution to the differential equation given the initial condition y=2 when x=0:…

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Q: Determine the degree three Taylor polyno- mial centered at x = 1 for f when f(x) = e³-4x 1. T3 =e¯¹…

A: f(x)=e3-4xdexdx=exformula for taulor series is at…

Q: Determine: d O O a) cosx b) sinx d[So cost dt] c) -sinx ( d) cosx-1

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