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Q: Apply u-substitution

A: ∫azlnzlnz+1 dz Put, z lnz=u⇒1·lnz+1z·z=dudz⇒lnz+1=dudz⇒lnz+1 dz=du

Q: Show the solution of angles

A: Apologies. We only answer one question at a time. We will answer the first three parts P, K, O as th...

Q: Apply u-substitution

A: We have to solve the integral using u-substitution: ∫x2e2x3dx Substituting, u=2x3 Differentiating wi...

Q: A student, wishing to use a calculator to verify the value of sin 30°, enters the infor- mation corr...

A: For trigonometric function, the calculator takes the angle value in either degree or in radian. This...

Q: Periodic Function The function f is periodic, withperiod c. So, f(t + c) = f(t). Determine whether e...

A:  we have been given that f(t+c) = f(t) which means we only have to use the t variable. 

Q: Sketch the graph of r = 4 sin 2u.

A: Given that : The function is r = 4 sin 2u .  

Q: Use the equivalent forms of the first Pythagorean identity   Find sin theta If cos theta is 12/13

A: Given that cosθ=12/13. We need to find sinθ using Pythagorean identity.  

Q: Solve each equation for u if 0° <= u , 360°.       Ï2 csc u + 5 = 3

A: To solve the equation 2cscu+5=3, where 0≤u≤360°. Solution: Solving the given equation. 2cscu+5=32csc...

Q: Find the area of the sector of a circle of radius 6 units subtended by an angle of π radians. Round ...

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Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________. ...

Q: Select the best answer for the question. 19. One rope pulls a barge directly east with a force of 67...

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Q: Determine the quadrant in which the terminal side of 0 lies. (a) cos 0 > 0 and sin 0 > 0 (Choose one...

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Q: Work A tractor pulls a log 800 meters, and thetension in the cable connecting the tractor and the lo...

A: Consider that a force of 15,691 Newton N is applied at an angle of 35° with the horizontal to pull a...

Q: Find the reference angle θ′.a. θ = 300° b. θ = 2.3 c. θ = −135°

A: Find the reference angle θ′.a. θ = 300° b. θ = 2.3 c. θ = −135°

Q: Find the infinite geometric sum if a1=-3, r=1\2

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Q: Find the exact value of the given trigonometric function. Show your solution. 237 3. tan- 4

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Q: Find the exact value of cos A in simplest radical form. V50 1 C A. 7

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Q: Apply u-substitution

A: Given integral is, ∫tanh 2x lncosh 2xdx

Q: 4. sin(u + v) = ______

A: Given:sinu+v

Q: A. What is the perimeter of the 1st iteration of the Koch Snowflake?  b. What is the perimeter of th...

A: Given: The perimeter of original triangle is 9 cm. Length of each side of the equilateral triangle...

Q: Find the measure of the smaller angle formed by the hands of a clock at the following time.   3:15  ...

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Q: Use the law of cosines to show that, if A = 90 degree, then a2 =b2 +c 2

A: Given that : A = 90°   

Q: 1. Find the domain of the function. f(x) = 9(x + 9) %3D What is the domain of f? O A. (-0,0)U(0,0) O...

A: It is easy to see that the function is defined for all x.

Q: Think About It Can the Law of Sines be used tosolve a right triangle? If so, use the Law of Sines to...

A:   We have given dimensions of a triangle ABC   B = 50°, C = 90° therefore, ∠A+∠B+∠C=180°   (Angle su...

Q: Given the triangle, find cot ( θ ). Enter your answer as a ratio of sides.

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Q: Please help me with this trigonometric problem. Show all work. And round answer to one decimal place

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Q: Height A flagpole at a right angle to the horizontalis located on a slope that makes an angle of 12°...

A: The flag pole diagram:                     

Q: Find the exact value of each of the remaining trigonometric functions of (theta). Rationalize denomi...

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Q: Solve each equation for 0s0 < 2n. 1) sec 0 =-1 3t A) {) 2 B) No solution. C) (0} D) {n}

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Evaluate without using a calculator.     tan  (tan    -1 1/2)

A: Given that tantan-112

Q: Deriving a Reduction Formula InExercises 65–68, write the expression as atrigonometric function of o...

A: 65) simplify: cos3π2-θ

Q: Apply u-substitution

A: Given : ∫(sin x/√2 - cos2 x) dx     ....(1)   Let cos x = t   Differentiating both sides w.r.t. x - ...

Q: Question On the graph off(x) = sin x and the interval [2, 47), for what value of x does f(x) achieve...

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Q: Find all solutions if 0° &lt;= u &lt; 360°. When necessary, round your answers to the nearesttenth o...

A: Given equation is Sin22u-4sin2u-1=0.

Q: Trigonometry Question

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Q: Draw a sketch of an angle in standard position having the line with the equation 3x - 4y = 0, x ... ...

A: Given: The equation of line 3x-4y=0 , which has the terminal side as u.  u indicates the angle of le...

Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

Q: Proof Prove that(cos θ)i + (sin θ)jis a unit vector for any value of θ.

A: Given:cosθ i + sinθ j

Q: You can use a ________ ________ ________ to represent a quantity that involves both magnitudeand dir...

A: Given:_____ represent a quantity that involves both magnitude and direction.

Q: Given tan 0 = V3 and you are in Quadrant III , find the exact value of csc 0

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Q: For each of the following angles, a. draw the angle in standard position.b. convert to radian measur...

A: Given angle is 390°. To draw the angle in standard position. Angle in standard means vertex at origi...

Q: 7. Using the right triangle shown, find the value of sin 0. B. C. E. 85 D. A. 2 日。

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Q: Finding a Unit Vector In Exercises41–46, find a unit vector u in the direction ofv. Verify that ,u, ...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts fo...

Q: 1. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the followi...

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Q: In AGHI, the measure of ZI=90°, GH = 69 feet, and HI = 21 feet. Find the measure of ZH to the %3D ne...

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Q: For the function f(x) = 2x - 3 determine whether f(x) is one-to-one, If so, find a formula for the i...

A: Using the horizontal line test on the graph of the function, We see that, No horizontal line interse...

Q: Compute P(0), and find the exact values of the six circular functions given that 0 = – 135°.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Please help me with this trigonometric problem using sine or cosine law. Show all work

A: In the given triangle  angle X = 46° Angle Y = 58° z = 51 mm

Q: Solve x2 + 2x − 6 = 0 by completing the square.

A: Given quadratic equation is, x2+2x-6=0

Q: Discussion 2 A At a point A person identified angle of elevation to the top of a mountain is a, afte...

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.