Ifq (x) = log5 (6x³+4x²), find q' (x). O log5 (18x2 + 18) 18x² + 8x (In (5)) (6x³+4x²) O O 18x² + 8x 6x³+4x² O 100

Q: F. dr as a line integral and as a double integral. JC F(x, y, z) = (-y+z)i + (x − z)j + (x - y)k S:…

A: Concept: Stokes’ Theorem: Let S be a piecewise smooth oriented surface with positive orientation,…

Q: (a) The complex number 2=-1+/ in polar form is z = (b) The complex number z = 2( z = (c) The complex…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first question. If…

Q: valuate the following definite integral. 0 1 30 x² - - 25 Find the partial fraction decomposition of…

A: Solving the problem by finding the value of the definite integration.

Q: Solve the equation or inequality. Write the solution set to each inequality in iinterval notation if…

A:

Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

A: We can answer the questions in the following steps.

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. ²=5y (Type an…

A:

Q: intervals

A: A function is increasing if when y is increasing with respect to x ot vice versa. Hence, Given…

Q: Find an algebraic expression equivalent to the given expression. Hint: form a right triangle. cos (2…

A: Topic- inverse trigonometric functions

Q: Find each model WITHOUT a Calculator (without regression) BY HAND. Then, use a calculator to…

A:

Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

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

Q: Evaluate the integral by changing to Spherical Coordinates. √16-3² [√/32-32-42 xy dz dy dx

A:

Q: Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the…

A:

Q: 3) Evaluate xả 5x+1 dx

A:

Q: An archeologist discovers a tool made of wood. The half- life of carbon-14 is approximately 5780…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: 5) Evaluate x² +1 4x³ + 12x dx

A:

Q: Find the exact value of cos (-42) √√2 2 (Type your answer in radians.) COS ...

A:

Q: 2/ Solve: (2 Sin () + C 2x-3 Then, Find the amount of (C) that is make the function continuous at x…

A: A function f(x) is continuous at x=a if (i) f(a) is defined (ii) limx→af(x) exists(iii)…

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

A:

Q: Explain how the following limit works and what it is used for. f(x +h)-f(x) lim hs0

A: Topic:- derivatives

Q: 1. y=es²

A:

Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

A:

Q: the formula ng pore Jim Parkin/Shutterstock.com H = 0.05t + 3.2. Here t is the number of years since…

A: Please see the below picture for detailed solution.

Q: A dollar store finds the daily demand for any of their products is given by D(x) = 120 + 15x - x².…

A:

Q: 1 ) / ( ₁ + ²x^²) = ( -da f (₁ () [ dr. - 2³-1 2+1 (d) 2² + 7x+12² (a) +at da. dr.

A: Evaluate the integrals

Q: B- The velocity of a particle v (msec-¹) at time t(sec) satisfies the differential dv equation…

A: We have given differential equation  tdvdt=v+t dvdt=vt+tt dvdt-vt=1 Comparing this with differential…

Q: 1. Four bugs are placed at the four corners of a unit square. The bugs crawl counterclockwise at the…

A: Concept: The cartesian coordinates for these two bugs are given by (rcosθ,rsinθ) ; (-rsinθ,rcosθ)…

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: This can't be correct because the equation of the tangent line was incorrectly transcribed.  The…

A: Note: Since, the student has asked to solve the given problem with correct transcribed way so that…

Q: Using concepts of derivatives explain how you would determine the interval for which the following…

A:

Q: d(t): 6t 3t + a 3/6 for for α 20 0<t< 1 3 7351631 5 <t< for 13 11 3t+ for 12 6 where d denotes the…

A: Given dt=6tfor 0&lt;t≤133t+αfor 13&lt;t≤56βσfor 56&lt;t≤13123t+α2σfor 1312&lt;t≤116

Q: a right triangle has a hypotenuse of 6 cm and one side length of 4cm the angle formed at the vertex…

A:

Q: Find the extrelne values of the function f(x,y)=4x2+ 7y2, on the circle x² + y²=1.

A:

Q: Below is the graph of y = x² +5. 141 12 10- 8 6- 4 2- -3 -2 -1 2 The area bounded by y = 22 +5 and…

A:

Q: Consider the function given below. f(x) = sin 0, 1 X+1 1 x < -1 x≥-1 Complete parts (a) through (c).…

A:

Q: Use Stokes's Theorem to evaluate F(x y₁ z) = x² +2 - xyzk F. dr. In this case, C is oriented…

A: The solution is given below

Q: Write the complex number in polar form with argument between 0 and 2x. 1-/ Need Help? Read It

A:

Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: (2xy + y) dx + x (x + 1) dy = (x² - 1)dx

A:

Q: Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and…

A:

Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

A:

Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: 5. Find the functions whose equations in factored form have a factor that is squared. These…

A: Here is a structure of a function whose equation in factored form has a factor that is squared:…

Q: 2. Simplify the radical expression: 7 2 -1 156x y z -5 -1 2 √39x y Z

A:

Q: applicable lim 13) Find the limit using L'Hopital's Rule if x²-4 x-2 X-2

A:

Q: y 200 150- (-3.75,93.75) 1000

A: increasing interval where slope increading

Q: Two unit vectors magnitude of 3 O√7 07 O√2 O√6 and , make an angle of 60 degrees with each other.…

A:

Q: 17. tan (cos x)

A:

Q: Mr. Anderson has chosen to build the rectangular garden with a length of 40m and a breadth of 30 m.…

A:

Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

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

Q: A 100-gal tank contains X (X is 17 ) gal of fresh water with 0 amount of salt. At t=0 a brine…

A: Amount of salt changes per time =salt amount ×rate of incoming - salt amount× rate of outgoing