From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is 33°47'. If the river is 51.7 meters wide at this point, what is the height of the cliff?

Q: 43-46. Arc length Find the arc length of the following curves. 12. 4V2 3/2, 2t ), for 1 < t < 3 3 fo...

A: (46). The given curve is: r(t)=t, lnsec t, lnsec t+tan t ;          0≤t≤π4

Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  ..........

Q: f(x)={x^2-8x+16, if x 3 find a and b such that the function f(x) is differentiable everywhere. (HI...

A: Given the query is to find the value of a and b.

Q: Use the product rule to find the derivative of (102° – 72*) (6e" – 7) Use e^x for e". You do not nee...

A:

Q: Let T be the triangular region with vertices (–1,0), (0,1), and (1,0). Use an iterated integral to e...

A:

Q: the following. Simplify your answer and use exact values. f' (x) f''(x) f''(x) :

A:

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are  the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.  

Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: topic - application of derivatives

Q: Consider the integral sin-'(5x) dæ: Applying the integration by parts technique, let U = and dv dx %...

A:

Q: y = (5x3-7x2+ 2x-3)1

A:

Q: Match the following items. On the unit circle with its center at (0, 0), an arc with central point P...

A: We have to match the following items with their answers.

Q: sin(ln a) dx

A:

Q: 20 Evaluate the integral: da 2 +16 2. (A) Which trig substitution is correct for this integral? Ox =...

A: We will evaluate the given integral by using substitution method as shown below

Q: V+1 ? 4. What is the value of the lim2 А. О 3 D. 3 С. 2 В. 1

A:

Q: Help! Find the derivative with respect to to x 4x^2+y^2=16

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple questi...

Q: In Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0.  19. F(x) = x3 +x3...

A: Use intermediate value theorem

Q: In this activity, you are going to supply what is being asked in each item. Use the given figure of ...

A: Given that: Graph of an ellipse.

Q: Solve the equation for 0 <0 < 2n cos? 0 – sin? 0 = -2 – 3 cos 0 |

A: Topic = Trigonometry

Q: 7. i and y are vectors of magnitude 1 and 2, respectively, with an angle of 120° between them. Deter...

A:

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6r – s, s? – 4r). Use the table o...

A:

Q: A given partial fraction 2x A B Cx + D + + (x – 1)(x+4)(x² + 1) X- a X+4 x² + 1 A can be evaluated a...

A:

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 5-...

A: Find your answer below 

Q: (In x)2 23. dx

A:

Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

A:

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below 

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: -2...

A:

Q: QI Evaluate 2 2 | 2y? sin(xy) dydx 0 x

A:

Q: dy 3. 9-49y²

A: To find out the integration. 

Q: The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6]. Let g (...

A: For the concave up, g"(x) &gt; 0 and for maxima g"(x) &lt; 0  

Q: SOLVE: dv 500

A:

Q: Differentiate the following function. Use any method and show the step-bystep solution. b. m = (2...

A:

Q: Math 48A/248A Group Work #22-Quadratic Functions (3.1) Names: A farmer wishes to enclose a rectangul...

A:

Q: 39-40 A particle moves along a straight line with equation of motion s = f(t), where s is measured i...

A: 39.f(t)=100+50t-4.9t2 at t=5

Q: Find the length s of the arc that subtends a central angle of measure 40 degrees in a circle of radi...

A:

Q: dx (4-2²)° (뿌): O none of these 1/2 11/8

A:

Q: Choose a correct equation for the graph shown below. O A. y = 5 sin (3x) B. y = 10 sin C. y = 5 cos ...

A: We have to choose the equation for the graph .   

Q: Evaluate the integral: J 26x2 dx V64-x2

A: This question can be solved using the concept of some special integrals.

Q: For the circle x^2+y^2=25 a. find y when x=3. Enter your answer as a list of numbers separated by c...

A:

Q: Determine the convergence or divergence of the following series 2 sin³ n n² -1

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

Q: 52. The plane passing through the point P,(0, 2, -2) that is parallel to the plane 2x + y-z= 1

A:

Q: 3 e3/x - dp- x2 83.

A:

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x=4 and roots of multiplicity 1 at...

A:

Q: CONSIDERING THE SYSTEM OF LINEAR EQUATIONS REPRESENTED BELOW, CHOOSE THE ALTERNATIVE THAT CONTAINS T...

A:

Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cota 21/20 -20/21 20/2...

A:

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11 ...

A: Given the query is to find the polynomial from the data provided.

Q: Evaluate the integral: 2 integal: / dr (A) Which trig substitution is correct for this integral? Oz ...

A: According to question,Given integral,∫2x2-4x4 dx

Q: 14 (x),6 dr 36 + [g(x)]?

A: We have to solve the value. 

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.