y = sec t, x = cosec t %3D %3D

Q: Find the product : (7x2y + 1)(2x2y - 3)

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

A: Given: f(x)=tan x. cot x To determine: The slope of the graph of the function at the given point.

Q: Find the derivative of the linear fractional function y=ax+bcx+d.

A:   We have to find the derivative of    y=ax+bcx+d ddxy=ddxax+bcx+dWe have to apply division rule ddx...

Q: Solve the formula for the specified variable. Do you recognize the formula? If so, what does it desc...

A: We know the simple interest (I) for the principal amount (P) in time t years at the rate of interest...

Q: A particle moves along a line with avelocity given by v(t) = 5 sin ∏t, starting with an initial posi...

A: Given equation of the position - s(t) = ∫02v(t) dt              ..................(1)given that,v(t)...

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = (x ...

A:

Q: A plane takes off at an angle of 6°. After traveling for one mile, or 5280 feet, along this flight p...

A: Angle of elevation=6 degree  

Q: Chain Rule with several independent variables Find the following derivatives.

A: Given that w=x2+y2+z2, x=st, y=rs, z=rt

Q: The function f(x) = 8x3 + 1 is all one-to-one. For the function; a. Find an equation for f -1(x), th...

A: a. Find an equation for f -1(x), the inverse function.

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral     sin 2 x cos...

A: Evaluate: ∫ sin2x cos x lnsin xdx

Q: Evaluate the integral.

A: To evaluate: ∫221t3t2-1dt Let substitute u=t2-1 dudt=12t2-1·2tdudt=tt2-1dt=t2-1tdu Limit will also c...

Q: (7 + h) The limit lim h→0 is the derivative of some function f(x) evaluated at x = a. Find the funct...

A: We know that, f'x=limh→0fx+h-fxh At x=a, f'a=limh→0fa+h-fah We have given f'a=limh→07+h23-723h On co...

Q: In Exercises 33–46, find the derivative.

A: To find derivative of y=ecos-1x. Chain rule of derivative states that: ddxfgx=f'gx·g'x Differentiati...

Q: find a+b, 9a+3b, |a|, and |a-b|a=8i-4j+3k, b=5i-9k

A:

Q: Suppose that f is a function defined as f(x) = 5x3 + 3x2 + x + 3. Find an equation for the tangent l...

A: f(x)=5x3+3x2+x+3Derivative formuladdxxn=n xn-1

Q: Can you please help me with these questions.

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

Q: a. Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Su...

A: The function is Tt=-0.009t3+0.285t2-1.7t+17.5.   Differentiate the function with respect to t. ddtTt...

Q: In order to solve 2x2 + 9x - 5 = 0 by the quadratic formula, we use a =______ , b =________ , and c ...

A: The general form of the quadratic equation is, ax2+bx+c=0.   Compare 2x2+9x-5=0 with ax2+bx+c=0. Thu...

Q: 49. (rationalize the denominator) V3 + vĩ VI +h - Vĩ 50. (rationalize the numerator) h

A: Question 49 - 63+2Rationalizing with its denominator - 63+2×3-23-263-23+23-263-232-22               ...

Q: The parking costs in a city garage are $2 for the first half hour and $1 for each additional half ho...

A: Given: The parking cost in a city garge are $2 for the first half and $ 1 for eachadditional hour. T...

Q: Derive the formula sinh-1 x = ln {x + √(x2 + 12)} for all real x. Explain in your derivation why the...

A: Consider the formula as:                         Let:                                   y=sinh-1(x) ...

Q: If a rock is thrown upward on the planet Mars with a velocity of 10 ms, its height in meters t seco...

A: Given- y=10t-1.86t2 and the velocity v=10 m/s. To find- The average velocity over the given time int...

Q: Given the following y4 + x2y2 +yx4 = y+1 and regard y as independent variable and x as dependent var...

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

Q: Arc length of polar curves Find the length of the following polar curves. The complete cardioid r = ...

A: Given polar curve is r=2-2sinθ. Since the function is a complete cardioid, the interval is 0,2π. The...

Q: Find the areas of the regions Inside the lemniscate r2 = 6 cos 2θ and outside the circle r = √3

A: Given that: r2=6cos2θ,     r=3 To calculate the points of intersection,   Set the given equation equ...

Q: 1 Evaluating Logarithms Evaluate the expression. 25. (a) log, 2 (b) log, 1 (c) log, 6* 26. (a) log, ...

A: We are solving the first questions and for the next questions post the question againand also mentio...

Q: How do I solve for the area between these two functions?

A:

Q: Verify that the function y = e−2x is a solution of the differential equation     3y′ + 5y = −e−2x

A: We need to check that if :                                y=e-2x is the solution to the differential...

Q: Use the graph (see given herewith) to obtain the graph of the corresponding reciprocal function, sec...

A: Given: The graph of y=12cos2π+x is To determine: The graph of the reciprocal function of the given ...

Q: Solve for G.S. / P.S. for the following differential equations using the method of solution for homo...

A: Given differential equation is -3x+25ydx+25x+3ydy=0 Given differential equation can be written as: d...

Q: Fill in the blank/s: The graph of y = 5f(x) is obtained by a/an ..............stretch of the graph o...

A: Fill in the blank/s: The graph of y = 5f(x) is obtained by a/an ..............stretch of the graph o...