V3 sin

Q: Find the derivative of the function f(x) = 8x2 – 13x by the definition of derivatives f(x + h) – f(x...

A: on using this formula we get = 16x-13

Q: A credit union entered a lease contract valued at $7700. The contract provides for payments at the e...

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Q: 1² – 6z + 119 I 6 (a) Test the limit of the function f(z) at z = 6. (b) ] Test the continuity of the...

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Q: Date Verify each identity. 1) cos (270° - 0) = -sin e 2) sin (90° + 0) = cos 0 3) cos (90° - 0) = si...

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Q: can you solve this please

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Q: d (csc x) = -csc x cot x. dx Prove that

A: Given,          ddxcscx=-cscxcotx

Q: 12. The function represents the position of a body along a straight line in t seconds is given by S(...

A: Given: Position function is S(t)=2t3-15t2-144t+12. Differentiate the position function with respec...

Q: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67 ...

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

Q: ‏Solve it quickly please

A: Given that a function and find second derivative of this function (d2y/dx2). We know that d(xn)/dx =...

Q: | (csc?x + 2 e2" dx = + 7* – 8) - O - cot x + 2e2a + - 8x + C - O tan x + e2a + 7° – 8x + C O - cot ...

A: Here, we need to find the value of the integration ∫(csc2x+2e2x+7x-8)dx  

Q: Suppose that f(t) =r +3t-4. (a) What is the average rate of change of f(t) over the interval 4 to 5?...

A: Use simple method to evaluate

Q: 4. Write the Double angle formulas for sine cosine and tangent

A: Solution:-

Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O 16...

A: We have to find the slope

Q: 1. Write the 6 reciprocal Identities

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Q: If a spherical water storage tank has a diameter of 50 feet, and the top of the tank is 106 feet abo...

A: Solution is in step 2

Q: If f(z) = 8 tan z, then find the value of f'(3) is %3D V10 3 10 10 3 10

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Q: The position of the particle at time t is given by s(t) =t - 16t + 63. The particle is moving from l...

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Q: Can you solve these questions

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Q: Suppose (0, -2) and (3, -2) are critical points of a function f(x, y). If fra (x, y) = 2x - 3, fyy (...

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Q: Find the derivative of the function. 4х - 9 y = 6x + 1

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Q: Please show steps

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Q: If (x + y)² = 9x°y°, find dy/dx. %3D dy dx

A: Given x+y2=9x9y9

Q: A helicopter is rising straight up in the air. Its distance from the ground t seconds after takeoff ...

A: V(t) = s'(t) a(t) = s"(t)

Q: Please show all work and write them clearly to read.  (type if possible)

A: I = ∫3x22+x3 dx     is the given integral. We have to use the change of variable to solve this   Let...

Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33 ...

A: slope is the first derivative of the function with respect to x. 

Q: Evaluate the integral using one or more of the following integration​ techniques: integration by​ pa...

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Q: Find the derivative of the function f(x) 3x2 – 12x by the definition of derivatives f(x + h) – f(x) ...

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Q: Calculate the sq root 3-2i. Give answer in a+bi form. Use angle 0≤theta<2π

A: Solution is in step 2

Q: The value V (in millions of dollars) of a famous painting can be modeled by the equation V = 10e*", ...

A: Explanation and solutions is given below....

Q: 11. Use the law of sines or cosines to solve the following Triangle b a 35° 40° A C = 8 B

A: The sum of all angles of triangle is 180°. Therefore: ∠A+∠B+∠C=180°35°+40°+∠C=180°75°+∠C=180°∠C=180°...

Q: Simplify the expression. -243 1,024 Enter the exact answer. -243 Hint: You can write roots as fracti...

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Q: Differentiate

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Q: Solve it quickly please

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Q: Find the derivative of the function. 1 - e3x = cos y = cos 1 + e3x y' =

A: Differentiate

Q: a)Use the graph to estimate sales in 2021. (Round your answer to the nearest whole number.) S=      ...

A: Given, S = 5000001+0.1ekt   Where S represent the number of unit sold and t represent the year . We ...

Q: Find the first derivative. y=T° + 2T5 -6T - T-7 P. ( +27 -6T-T-7) = dT

A: Explanation and solutions is given below....

Q: dx 2. x-6x

A: on doing integration we get

Q: 8. Find the exact value of the following tan75° - tan30 ° 1+ tan75° tan30°

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Q: Evaluate the integral using one or more of the following integration​ techniques: integration by​ pa...

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Q: ‏Solve it quickly please

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Q: 12. The function represents the position of a body along a straight line in t seconds is given by S(...

A: We have, the position of a body along a straight line in t seconds is given as st=2t3-15t2-84t+18   ...

Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

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Q: The curve f(x)=27/(x^2+9) is called Witches of Agnesi. Find the equation of the tangent line to this...

A: The function is defined as a relationship between two sets in which one set is dependent on other se...

Q: For which value(s) of x does f(x)=−7x2/2+6x−3 have a tangent line of slope −7? Select all correct an...

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Q: The circumference C of a circle is a function of its radius given by C (r) = 2nr. %3D a. Express the...

A: To answer the following parts

Q: 6. Prove the following sin (x + n) = -sin x cos x+ 2 - sin x

A: Part a,Given,           sinx+π=-sinx

Q: Use function composition to determine if f(x) and g(x) are inverse functions. f(x)=3√x+1 and g(x)=x3...

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Q: EXAMPLE 5 Sketch a possible graph of a function f that satisfies the following conditions. (i) f'(x)...

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Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.