Use the information given below to find tan (a +ß). sin a = cos B 3 5' 4 5' with a in quadrant IV with ß in quadrant I Give the exact answer, not a decimal approximation.

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Q: Q3: Make use of Laplace transform to solve the following differential equation that satisfy the…

A: By making use of Laplace transform to solve the following differential equation that satisfy the…

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A: Given query is to find the central angle.

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A: Note : As per rule I need to solve only first 3 subparts.

Q: B. Integrate the following functions: iii. ₁³4x³ +9x² + 2 dx

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A: Solution: To find the second derivative of y with respect to x, we need to first find an expression…

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A: To select all the statements that are true.Assume that c is in the domain of fx.1 limx→c 3x2=3c22…

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A: Given differential equation y' + yx - y = 0

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A: Given particle's acceleration a( t ) = 3t52let velocity function = v( t ) position function = x( t )…

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Q: Find a and b so that f(x) is continuous if f (x) 0 a = b a = − 14/1/2 O a = = -1/16 a= 96 b= b = =…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: What is the equation of the curve passing through (1,5) and whose tangent line at (x,y) has a slope…

A: To find the equation of curve

Q: Determine the exact measure of x. X Select one: Qa. 45° 14/15 3 O b. 7/10 2 O c. 7√5 7√5 k

A: Topic -Trigonometric Ratios We are given a right triangle with angle =45°hypotenuse =75 ,adjacent…

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Q: Consider the curve defined by x² + xy + y² = 8. Find the slopes of the lines tangent to the curve at…

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Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

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Q: Which of the following u-substitution should be used in evaluating {(2³_x)[x(x³_2x)]³} dz?

A: Given integration ∫{ ( x3 - x )[ x( x3 - 2x )]3} dx

Q: Question 1: Let f(x) = x³ - 3x² +4. a) Find the intervals of increase and decrease. b) Find the…

A: Let fx=x3-3x2+4a To find the intervals of increase and decrease.b To find the local maximum values…

Q: Let CE = actual consumer expenditure for a number of units CS = Consumer's Surplus WS = total amount…

A: Given CE = actual consumer expenditure for a number of units

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Q: Find the following expressions if a = (6r, 0, ½r), b = (4s, –s,8s), and c = 1. a. b = 2. a c= 3. b.…

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Q: Find the average rate of change of the function f(x) = = Average rate of change Give exact answer! =…

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Q: k X L n X L n Y d X + dy=o 2 (x²-xy + y²) dx-xydy =o

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

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A: Topic:- application of algebra

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Q: A rocket can rise to a height of h(t) = t +0.7t feet in t seconds. Find its velocity and…

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Q: Click on the blue dot where the coterminal angle lies for -420 180° 5a 6 TC 3л (-1.0) 210 150° T 6…

A: Here we have to find the coterminal angle.

Q: 2. A thermometer reading 70°F is placed in an oven preheated to a constant temperature. Through a…

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Q: Which of the following differential equations is NOT separable? O Oh(x) = g(y) dy dx O None of the…

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Q: (c) (d) y" +36y=0 d'y dx² +4dy +4+y=0; y(0)=2, y'(0)=1 dx

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Q: Let f be the function given by f(x) = −4|x|. Which of the following statements about f are true? 1.…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take x=0 here…

Q: Which of the following angles in standard position has a reference angle of 20°? Select one: O a.…

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Q: Find the average rate of change of the given function between the following pairs of x-values. f(x)…

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Q: What is the volume of solid generated when the area bounded by y=x² and y=4 is revolved about y=4?…

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Q: 7. Determine the y-intercept of the exponential function j(x) = a(b)*, if a > 0, b>0. A. 0 B. 1 C. a…

A: To determine the y‐intercept of the following exponential function. jx=abx, if a>0, b>0

Q: Consider the following function: 5x 7x -11 1 -1 -7x 11 7 3 2 -X 12 0 0 0 1 f(x) = When f(x) is…

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Q: 05 If |a+31/2=1 and 2|b+1|=6, then la +b] could equal any of the following EXCEPT * O A.1 B.3 C.5…

A: Topic:- algebra

Q: Find a and that solve the vector equation: + ß ;) = (³) 3

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Q: Question 3 Evaluate lim,-1+ f(x) if f(x) = = x +4 -x+1 x -1

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Q: If the area bounded by y=x² and y=x is revolved about x=3, which of the followin is to be integrated…

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Q: ƒ(x) = ( 1² ) 3 +3

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Q: Direction: Find the zeroes of the following functions; 1. f(x) - 27-3 2. f(x)=512x+3)(x+2)…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 07* Let a = (1, 1, 1), b = (1, -1, 1) and c = (1,-1,-1). (a) Find the vector form of the line in the…

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Q: 6. Solve for the volume of the solid after rotating the region bounded by y = x³ and y= 2x² about…

A: Solution: To solve this problem, we will use the formula for the volume of a solid of revolution…

Q: At price p = 5, the demand D given by D(p) = 15 - 1.5p is O a. of unit elasticity O b. inelastic O…

A: Solution is given below.

Q: . A steel ball, initially at 100°C is dropped in a water bath at 25°C. After 5 seconds, the…

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