Find the area of the part of the circle r = 5 sin 0 + cos in the fourth quadrant. Answer:

Q: 2 The probability that an event will happen is . What is the probability that the event will not…

A: We need to find probability.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 3 P3(x) =

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Q: Find a general solution. Show the steps of derivation. Check your answer by substitution. -1.2 6. y'…

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 6+7x+7x² + 4x³ +….. and g(x) =…

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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: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + √x dy Read It Need…

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Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: a = a What is the 150th term of a A 151 B 152 с 309 D 311 n-1 +2 if a₁ = 11₂

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Q: Solve the initial value problem. Y 6 dy dx 2xy = 8x, y(0) = 5

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Q: (a) Find the acceleration of the body each time the velocity is zero. Enter your answer as a list if…

A: Follow the procedure given below.

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: Find the Maclaurin series centered at c and the interval of convergence. 12) f(x) = 1-2x 13)f(x) =…

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Q: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

A: As per the requirement of the student question number 2 has been solved. Here we need to calculate…

Q: Evaluate the following limits. USE OF L'HOPITAL'S RULE IS NOT ALLOWED. log₁ (x+3) lim x →1 -1 1-cosh…

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Q: Find all values of a where the given series converges. Answer: Note: Give your answer in interval…

A: Solution is given below:

Q: Question 7. A manufacturer of jet engines estimates that the rate at which maintainance costs are…

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

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: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: k1 (k+ 1)².4k ak+1 lim ||

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: Find the limit of the trigonometric fur lim cos (5) 248

A: answer is in next step

Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: d²y dx² + 3 dv dx -10y=3x²

A: Given problem:-

Q: if x ≤ 2 f(x)= [2x - 5], if 2 3 1. Determine if f is continuous or discontinuous at r = 2 and r =…

A: Solution of the problem as follows

Q: Write the Taylor series for f(x) = eª about x = 1 as Σcn(x − 1)". - n=0 Find the first five…

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Q: 6. 2x³ cot x4 dx 7. S x4 sec (x5 - 9) dx 8. Stan ³ x dx

A: We can solve this as follows:

Q: A metal plug has been designed using the intersection of the two cones z = √√x² + y² and √x² + y² +…

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Q: 8. The position function of an object is defined as: s(t)= t³-t²- 8t Find the minimum velocity of…

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

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

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Q: dx 3xy 10. Find for xy = In (cos x + sin y) by using implicit differenti dx 1. Find dx for y³ + 4x…

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Q: 1/

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Q: Find all the values of a such that the given series would converge. Answer: Note: Give your answer…

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Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

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

Q: 1. Show that F is a conservative vector field and then find a function f such that F = Vf where F(x,…

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Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: Find the value k that makes the function continuous. kx 10, x 10 M > f(x) = _ 4x + 10, x < 10 Submit…

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Q: Evaluate the line integralſ (x+2y) dx + x² dy, where C consists of line segment from (0, 0) to (2,…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√x²-x-√x² + x)

A: Please see the answer below.

Q: 1+/ lim x-1 2x² + x1

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

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Q: Find the genereal solution. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS (D2 + 1)y = sinx

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Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. f(x, y) =…

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Q: 2. Fe²i+yj + x²yk, A. y²i2zy2j-e²k B. x²i2y2j-e²j C. y²i2z2j- e²k D. z²i2zy²j+e²k E. y²i-zy2j- e²k…

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Q: 11. ydx + x(x²y = 1)dy = 0 -

A: y dx+x3 y dy- x dy=0(y dx -x dy) +x3y dy =0(x dy-y dx)-x3y dy=0dividing by x2;(x dy-y dx)x2=xy dy…

Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

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