Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30, c = 40, ZA = 37°

Q: Given the function f(z) = 82-3, find and simplify the following values: f(a)= f(a+h) = f(a+h)-f(a) h

A: Simplify the expression at different values.

Q: Determine whether an exponential function, a logarithmic function, or a linear function is the best…

A: Given the query is to find the best fit function.

Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: Use the One-to-One Property to solve the equation for x. - 2x 7 = 4 X =

A: we have to slove the above question and find the value of x

Q: Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √2ti + e-√2tj + 2tk,…

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Q: Given sin(a)= and a is in quadrant II and sin(3) = and B is in quadrant II. Use sum and difference…

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Q: Determine whether the integral is improper L' (x-4)-¹dx (A) Not improper (B) Improper

A: We can solve this as follows:

Q: 9- Give five examples about application of polar coordinates in real life

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Q: The ghien matrix is an augmented mutris representing a system of linea equations. Write the matrie…

A: To find the reduced row echelon form of the given augmented matrix .

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

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Q: [CLO-2] f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1 1…

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Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: y = x² + 2, y = 2x + 5, x=0, x=6

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Q: dx If z² = x³ + y², = -3, dy dt dt Please give an exact answer. Provide your answer below: - - 2,…

A: Answer is in step 2.

Q: y = (1 - √√x)³; y(3)

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: The radius of the base of a cone is 6 inches. The slant height of the cone is 10 inches. Which is…

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Q: g(x) a b Suppose g(x) = f(x) +3 a= 2 and b=7 Compute the area between fand g using 2 and 7 as your…

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Q: An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32…

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Q: The equation of motion is given for a particle, where s is in meters and is in seconds Find the…

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Q: Find the laplace transform of f(t) = 21² +41 - 5 F (s) = F(s) = O O -5s² + 4s + 4 53 -555 +454 45³ -…

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Q: Q3: Find gradient of the following function at given point 1) f(x,y)=y-x, (2.1) 2) g(x,y)=y-x²,…

A: As per as our guidelines i am supposed to answer only three part of this question.

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

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Q: 11. Given the function below, what is its derivative? * f(x) = 2x - √x f'(x) = 2x C f'(x) = 2 - a 1…

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Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: Part 1 of 5 - Part I Given the set X = {x € R³ : d(x,a) <r}, where d is the usual metric on R³. A…

A: A set is closed iff its complement is open. So a set is not open iff its complement is not closed.

Q: 21 23 (24) EMPR Solve the differential equation by using method of un determined. coefferent;…

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Q: At the end of each month, for 36 months, $300 is put into an account paying 7% annual interest…

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Q: 5-39+370=?

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Q: 1) x² + y² + ² = 3, P. (1,1,1) 2) 2=-x²=0, P. (2,0,2) XZ 3) cos(x)=x²y + e + yz = 4, P. (0,1,2)

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Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: Find the future value of a $30, 000 annual income stream if it is invested immediately as it is…

A: Solving the problem by finding the value of compound interest.

Q: 6. 15 4 3 5 1 23 24 -3 -6-5-43-2 2 3 4 5 6 -6 Write the domain of the function using interval…

A: Given query is to find the domain of the function.

Q: For the demand function q = D(p) = √363- p, find the following. a) The elasticity b) The elasticity…

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Q: Write the equation of a sine or cosine function to describe the graph. 'y 4- 0 NA 3 9 15 4 2

A: we have to find sine function.

Q: Suppose f(x) = x² - 4x-9. Compute the following: A.) f(-3) + f(2) = B.) f(-3)-f(2)= =

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Q: c. lim f(x) X→-2+ d. lim f(x) X-0

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Q: dx √1+√√x |

A: Given,  ∫dx1+x

Q: 4 3 2 +..

A:

Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 2…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Find the area of the shaded region. r = 4 + 3 sin 0

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Q: Consider a triangle ABC like the one below. Suppose that A= 116°, C=36°, and a = 19. (The figure is…

A: A triangle ABC has A=116°, C=36°, and a=19

Q: Given: 6x³2x²+3 dx. Using integration by parts (udv Svdu) and dv = uv - letting u= f(x), dv= 3 g(x)…

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.