How is the angle of a right-triangle changing as the adjacent side is changing? de Assume that the side opposite remains a constant length of 20 cm. Goal: Find dx Set-up a triangle. Label the side adjacent x, and the side opposite 20. Label the angle 0. Find a trig function to work with. de Use the inverse trig function to find dx

Q: 5) 3tan-1x + sin-x = 4

A:

Q: -2. The graph of f(z) is shown in red. Draw the graph of g(z) = f( - a). Make sure to start at one o...

A: Since  you have posted multiple question as per guidelines we can solve only one question at a time ...

Q: The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is g...

A: Note that:-Velocity of a particle is given by differentiating distance d(t) with respect to (w.r.t) ...

Q: Find the degree 3 Taylor polynomial approximation to the function f(x) = 8 ln(sec(x)) about the poin...

A: Given, f(x)=8(ln(sec(x))) Find Taylor polynomial of degree 3 about the point a=0 we know that  

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Use energy conservation equation.

Q: Current Attempt in Progress Match each property (a)-(d) with one or more graphs (I)-(IV) of function...

A: Given query is to find match the graph.

Q: A penny of 0.75 inches in diameter is randomly dropped 100 times on a customized Go board. It inters...

A: Diameter of penny = 0.75 inches Probability of intersect of lines = 70100 probability on not interse...

Q: Find the area enclosed by the x-axis and the curve y = -x2 + 9. A.) * 32 s.u. В.) 18 s.u. C.) 36 s.u...

A:

Q: 8. Let f(x) = x3, g(x)= sin(x) and h(x)= Vx. Evaluate the following functions. a. h(g("/2)) b. Domai...

A: Given that: f(x)=x3g(x)=sinxh(x)=x

Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

A:

Q: 1. S (7x³ + 4x² ) dæ

A:

Q: State whether the following statements are True or False. If they are true, provide mathematical rea...

A: Two vectors are parallel if they have the same direction or are in exactly opposite directions . Equ...

Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6    

Q: = kx³y? - ? %3D What is the value for k when DE is an exact equation? (2x* + sine(y)) dx -2 4 -4

A:

Q: In using the technique of integration by parts, you must carefully choose which expression is u. For...

A:

Q: Find the average value of f (x) = cos^2 (x) on the interval [0, π]

A: Given that: f(x)=cos2x       on the interval [0, π]

Q: Find the general solution of the differential equation æyl + 2y! – (x + 2) cos (x) + y = 0 and choos...

A:

Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = 6x from...

A: moment about the x axis is given by Mx=12∫abf(x)2-g(x)2dx

Q: (- + =) dx when evaluated is equal to 3Vx, 11 Find the value of a. The definite integral 12

A: Given problem:-

Q: 4. -[lp A~ q) A r] = ¬p V q V ¬r 5. -[p → (¬q)] = p A q 6. (p → r) A (q → r) = (p V q) → r

A:

Q: Write an equation for a cost function where the fixed costs are $2300 and the variable costs are $20...

A: Given  Fixed costs =$2300  And variable costs=$20 per unit  Let's total unit is X then  Equation of ...

Q: Linear differential equetion with constand coefficients -メ ダーンツ e

A:

Q: pard New Tab 3 HELP CENTER -/9.09 Points] DETAILS LARPCALC11 5.2.020. Verify the identity algebraica...

A:

Q: Evaluate the expressions. a) 14° b) - 14° a) 140-

A: a) 140=1

Q: Determine the volume of a solid by integrating a cross-section (the slicing method). Determine the v...

A: The given curves are:   y=x     and     y=-x

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

A:

Q: 19. A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is increas...

A:

Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward. Conc...

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

A: We can find the centroid as below using the required formula.

Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.

Q: What is the period of G(x) = 5 sin(3x - 3 T)? %3D 2pi 2pi/3 2pi/5

A: Given that: G(x)=5sin(3x-3π)

Q: Solve the differential equation (FODE)

A:

Q: 81 구 4 The graph of f(x) is shown in red. Draw the graph of g(a) = f( – x). -8 -7 -6 -5 -4 -3 -2 -I ...

A:

Q: Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to ...

A:

Q: If f(x)dx = 5, f(x)dx =2, and f f(x) dx =-1, find f(x)dx. А.) —2 В.) 2 С.) —3 D.) 3

A:

Q: If F(x)=[ cos(t² +1)dt , calculate using the fundamental theorem of calculus derived version.

A: Given : F(x)=∫-xxcos(t2+1)dt Aim: to calculate using the fundamental theorem of calculus ,the  deriv...

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

A:

Q: d (x- 7)4 81. dx 3 2x

A:

Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: Which of the following are rational functions? Select all that apply. 1 Of({x) = Of(x) = log(x) 3* O...

A: functions are given we have to find the rational functions.

Q: y? Assume you are given the surface S with equation p2 9. 1.

A:

Q: (e* –1) -dx (e +1) vel

A:

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A:

Q: Suppose that h(x) has a continuous derivative h'(x), h(0) = -2, h(T/4) = 2 and tan(x)h'(x) dx = 4. E...

A:

Q: Question 12 dy If dx and y = when x = 1, find y(2). %3D V3x-2 2 (A) 27 40 B) 27 27 26 27

A:

Q: List the numbers from smallest to largest. -- 2.3x 103 8.4x 10 0.000079 20,000 Choose the correct an...

A:

Q: Which of the following trigonometric equations has a phase shift of 1/3 to the right? Oy = cos(x + T...

A:

Q: 13. To evaluate S - 3cos²x=1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+ csc²x)dx b...

A:

Q: Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that ...

A: It can be solved using simple differentiation and limits.

Q: Draw a graph of the cosine function with an amplitude of 12 (show at least 2 full periods).

A: Draw the graph of the cosine function with an amplitude of 12 .