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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Representing a function as a Power Series. Suppose that we want to represent the function f(x) =…

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Q: . Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 4 4. lim loga (x+3)…

A: limx→1-log12(x+3)1-cosh(cos-1x)=limx→1- log2-1(x+3)1-cosh(cos-1x)since, limx→af(x). g(x)=limx→a f(x)…

Q: Q6: If z = x2 and ad y, then 이렇 이렇 소설 이를 Choose e) others

A: Given problem:- If z=x2 and y=z3/3  To find:- dy/dz

Q: (C) EXERCISES Evaluate the following integrals: 1. tan² x dx 2. cot cot² r dr COS I da sin x COST…

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Q: which of the following sequences is converge or diverge: (²√m) ()}. {!}

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Q: Solve the D.E ý - 25 +2y = 2 X73

A: Please read whole answer your doubt will be cleared.

Q: Sketch a graph of f(x) 5 -5 = 4 3 -2 -1 12 1 -4 -3 3 Clear All Draw: Note: Be sure to include closed…

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Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

A: This question is based on application of integration.

Q: IV. Find Do not simplify your answers. dy dx 1 1. cos x + y² = x coshy - 2y, where x > 0

A: Given problem:-

Q: Find Duf at P. NOTE: Enter the exact answer. Duf = f(x, y) = sin(3x – 4y); P(4,3); u || 35 i I

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Q: Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in quadrant II.

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 11x)y², y(0) - -…

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 4 1 T(+7) = -√17 Т…

A: given  as you have already found Tangent vector

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Center (4, 6)

A: Given equation of circle is    x 2 +y 2 + 4x + 6y - 12 = 0   Now centre of circle is given by…

Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

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Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: IV. Do as indicated. 1. Let f(x): = where x = 1. 1 Find the equation of the tangent line to the…

A: Given equation f(x)=11+x2Differentiate…

Q: d d. Calculate[r₁(t) · r2(t)] and [r₁(t) × r²(t)] first by differentiating dt the product directly…

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Q: y″ −3y′+2y=e¹x ; y"

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Q: ST/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

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Q: V. Given: 2. Find f'(2), if it exists. f(x) = el32-61-2, [2x - 5], √x²-9, if x 3 14

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERi sauce is…

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Q: Verify Green's Theorem by evaluating both integrals dA [_v² dx + x² dy = [] (ON-OM) A ax ay for the…

A: Let's find.

Q: 2 Find the center of the following equation.      x 2 +y 2 + 8x - 6y - 15 = 0 (4, 3) (8, -6) (-4,…

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Q: A B D Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 96 л 52 t 48 100 π

A: First I have written the area formula for polar curve , then draw the graph of given curve and then…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: Formulas of limits which have been used are written in the solution

Q: Find sin (θ) given that cos (θ) = 1/5 and θ is in quadrant IV.

A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.

Q: Determine the interval of convergence for the series 2¹.¹. n=0 The series converges on the interval…

A: This is a geometric series with r=2x.

Q: 314! What is the value of the expression 5! ? A 3 5 B 5 C 42 D 3,991,680

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Q: 3 answers. cas (x² + 2) = x - 240 cashy X ५१ where x>0 cot 1(3) 3 1. COS S = Cea

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Q: Find the length s of the circular arc. (Assume r = 5 and ? = 130°.)

A: s =r*θ θ in radian s = 5*130π/180 s =11.34

Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: Q2) Which of the following series is converge or diverge Σ{"} ,0.7777777777777 n=1 . Σ n=1 27

A: a)=∑n=1∞ n-1n2=∑n=1∞ 1n-1n2{using p-series test:∑n=1∞ 1np converges only when p>1diverges for…

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t)=10cos(t)i+11sin(t)j+9tk;…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: 46. Evaluate the definite integral (3x² - 4x - 5)² (6x-4) dx. 81

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: Apply the first derivative test to indentify all relative extrema. f(x) = cos² (2x)

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Q: Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON…

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Q: 1. Identify the equations of all the linear asymptotes of f.

A: There are three different types of asymptotes for a function fx: (i) Horizontal asymptote: If we…

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

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Q: Find the volume of the solid bounded above by f(x,y) = 8x², below by the xy-plane and the sides by y…

A: Volume

Q: Find the nth Taylor polynomial centered at c. f(x) = ln(x), n = 4, c = 6 P4(x) = X

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Q: area enclosed by enclosed by the Curve Find the X = 2y² and x = 8

A: This question is based on application of integration.

Q: Show that the differential equation xºy7 + x(1+yº)y' = 0 is not exact, but becomes exact when…

A: Take the partial derivative of coefficient of dx and dy to show that the given differential equation…

Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…