144° expressed in radians is _____.

Q: Consider the function. f(x) = Identify the domain off. (Give your answer as an interval in the form…

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Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.

Q: 27) 5 1 dx √x²- A) in (x+2+25+C In 5+X In +C 10 5-x nt B) +C X+5 D) (x+12-25374c In +C

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Q: 21. Jo 0 dx (x + 1)(x² + 1)

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Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

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Q: Find the one-sided limits of f(x). Step 1 of 2: Find lim f(x). x--7 f(x) = -7x-3 -4x² + 4 if x < -7…

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Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: Let f(x)=x3−3x2−9x+25. Use the derivative f′(x)=3x2−6x−9 to determine the following values for f on…

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Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and calculation we will…

Q: 1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx =…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Let A(z) = f(t)dt where f is the function given by the graph below. 3- 2 + 2 H d -2 A(3) - A(8) -

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Q: find Sexcos'x dx by using integral by Parts.

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Q: Find the sum of the first eight terms of the sequence shown. 1/2, -1/4, 1/8 . . . a. 1/256 b. -1/256…

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Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

Q: Find the area of the region between the graphs of y = 16-2² and y=-62 +9 over the interval -3 ≤z≤1.…

A: Given: y=16−x2 and y=−6x+9 Let's first find the intersection point of y=16−x2 and y=−6x+9 16-x2…

Q: 6) Find dy , where is defined as a function of implicitly by the equation below. dx y + 2x²y³ = 1

A: Given function, y3+2x2y5=1

Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. lim f(x)g(x) lim (2f(x) + 3g(x)) lim…

A: Given limx→-4f(x) = 3 and g(x) = 1.

Q: [ 2² cos z dr = f(z) sin r + g(z) cosz+c The value of ƒ (1) + g (1) is Blank 1

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Q: Sketch the region enclosed by y = 3x and y = 52. Find the area of the region.

A: Given that y=3x and y=5x2 find bounded area.     Here i attached the solution of this question.

Q: A person starts walking from home and walks: 2 miles East 2 miles Southeast 5 miles South 2 miles…

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Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: The components of vectors A and B are given as follows: A=5.1, A = -5 X y B-2.6, B = -4.3 X y What…

A: We have to find magnitude of vector sum A+B.

Q: Find the tangent line(s) to the parametric curve given by a = t¹ - 9t² and y=t² at (0, 9).

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Q: Determine the equation of the hyperbola with center (-1, −6), a focus at (−1, −16), and a co-vertex…

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Q: What is the average rate of change of y with respect to over the interval [3, 5] for the function…

A: topic- average rate of change of function average rate of change for linear equation is equal to its…

Q: Express the function n, lim n→+∞ 4k² in closed for and then find the limit. n³

A: We will first write this function in closed form then we will calculate the limit of the function.

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

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Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: Prove that x + 3 is odd if and only if x² is even.

A: Proof: x+3 is odd  Let x+3 = 2k+1

Q: 1 Given that 1 1-x a with convergence in (-1, 1), find the power series for 7-x n=0 n=0 Identify its…

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Q: Consider the function Step 2 of 3: Find lim f(x). x6+ f(x) = lim f(x) = x→-6+ x² + 12x + 22 19x +…

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Q: min

A: Please refer to the image below

Q: 1. Given f(x)=x+5 and g(x)=x²+8x+15 Sketch the graph of y=- _f(x) g(x) Mark the asymptote(s),…

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Q: y = e²x and x - 2y + 5 = 0

A: I am attaching image so that you understand each and every step.

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: 9. For what value of the constants A and B is the function A√x+6-1 for Br² +2 f(x) = 2 Ar + B f…

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Q: J; x² x² - 1 4 dx

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Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: arbor during a certain 24-hr period is approximated by the function 2]. + 7.9 (0 ≤ t ≤ 24) esponds…

A: The rare of change of a function f(x) at x=c is f'(c)

Q: Given plane z: 3x+2y+=-3=0, point P(1, -2, 3), and lines 1₁:¹¹ and 4₂: (3, 6,-5)+r(2, 3, 1), find:…

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Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: Determine whether the function is a probability density function over the given interval. 35)…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

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Q: Evaluate the integral. (Use C for the constant of integration.) [(sec²(t) i + t(t² + 1)² ₁ + t²…

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Q: drug is administrated intravenously of the object iver 1. the time interval [3,8] Use definition of…

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Q: What is the subtraction of Vector M from Vector T? M = 5 units T= 4 units

A: Solved below

Q: 1. f(3x + 1)¹5 dx 2. f(8x³ + 2x² - 1)7 (6x² + x) dx x-2 3. f dx √50-5x3

A: LetI=∫(3x+1)15dx put  u=3x+1differentiate du=3dxdu3=dxThereforeI=∫u15du3Take constant…