Let 0 = tan-¹ (-3), then tan0 = and is in quadrant Now use trig identities to find the other 5 trigonometric functions (must show some work): sec csc

Q: 1 (s² + a²) (s² + b²) a sin at + b sin bt a² - b² b sin at a sin br - ab (b²-a²) cos at + cos bt…

A: This question can be solved using the concept of inverse Laplace transform.

Q: Match each function name with its equation. a. Square Root Y b. Cube root Y c. Reciprocal Squared d.…

A: Given query is to find the name of the every function.

Q: 1. Use the graph of y = f(x) given below to find the answer to each of the following. You do not…

A: By using the graph of y=fx given below to lisy all the intervals on which f is increasing.

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: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Find an equation of the plane that is passing through the point and is perpendicular to the line L.…

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Q: | 12 – 2 – 1 2x - (x − 1)²(x² + 1) dr

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Q: Evaluate the integral improper integral (A) 1/9 B) 1/6 1/8 (D) 1/4 0 00 dx (2x-1)³

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Q: find the equation of the line that passes through the point (-1,3) and is parallel to the line…

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Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

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Q: Let 0 = tan-¹ ( - ), then tan@ =_ and is in quadrant Now use trig identities to find the other 5…

A: Theta lies  in second quadrant ot in four quadrant . First find the trig ratio considering the theta…

Q: Find the area of the shaded region. f(x)=8x+2x²-x³, g(x)=0 The area is (Type an integer or a…

A: Here we have to find the area of shaded region.

Q: 2. Evaluate -π/4 Is -π/4 sinx cosx dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t…

A: Given :

Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

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Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: Sol:- ➤ For yo y"-2y'+y=e* Homogeneous (e' = 0) op

A: For complementary solution solve homogeneous differential equation.

Q: Select the answers that best complete the given statement. The power rule for logarithms states that…

A: We can find the correct answer using the properties of log as below.

Q: Caitlyn wants to enclose a rectangular field with two internal partitions as shown. If the area of…

A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

Q: se the Law of Sines to verify that there is no such triangle that satisfies the given conditions: =…

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Q: Admission to a baseball game is $⁢2.50 for general admission and $4.50 for reserved seats. The…

A: Given Admission to baseball game is $2.5 for general admission and $4.5 for reserved seatsThe…

Q: Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n…

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Q: Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF…

A: A detailed solution is given below.

Q: du (u² + a²)² √

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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: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

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Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

Q: The table shows a proportional relationship between the number of tickets purchase and the cost.…

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Q: When can you not use partial fraction decomposition?

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Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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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: Find the limit. NOTE: Enter the answer using round brackets. t² +3 1 = lim t+ (?, ?) 8t2 +9'2t

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Find the area of the triangle formed by the functions using definite integrals f(x) = 2x+4 g(x) =…

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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: d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

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Q: Consider the given graph below: A PA 0 B с G 1/4 11/2 31/4 5/4 31/2 717/4 D Let y = a sin[k(x −b)] +…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 2 MECHI y=0 (Type your…

A: Use derivative for finding the equation of line .

Q: 1. Evaluate JJ (2². R where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 2}. (2x + y) dA

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Q: Given sin(a)= and a is in quadrant IV and sin(B) = and /2<B<. Use sum and difference formulas to…

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Q: A basketball has a radius of 15 cm. You need to make sure that your ball can fit in the hoop. What…

A: We know that the upper base of the basketball looks like a circle therefore we will use the formula…

Q: Find T(t) and N(t) at the given point. T() = N K2 r(t) = 9 cos(t)i +9 sin(t)j + tk; t= 2 =

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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.