2. Change the point (2,4,-4) from rectangular to cylindrical coordinates and spherical coordinates.

Q: 8. State the domain of the logarithmic function by solving a polynomial inequality. Specify the cut…

A:

Q: Prove the identity. tan(x) = sin(2x) 1 + cos(2x) = = = sin(2x) 1 + cos(2x) 2 sin(x). 20 1 + (2…

A:

Q: 6. S x³ √9+ x² dx x = 3 tan 0

A:

Q: 1) The value of a product (in dollars) increases according to the function v(t) = 2.45e0.032t in the…

A: given that value of the v(t)=2.45e0.032t

Q: The boxplot below shows salaries for Actuaries and CPAs. CPA HC Actuary 30 40 70 80 90 100 110 Q 50…

A: First we will plot the minimum, first quartile, median, third quartile, and maximum as shown below

Q: y 1 * ( ² ) ]dx + x tan +¹ (²) dy = y 0 X X x - y tan

A: To solve the following differential equation.x-y tan-1yx dx+x tan-1yx dy=0

Q: . Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

A:

Q: UP the integral representation for the volume of the solid that results when the region bounded by…

A: Please see the below picture for detailed solution.

Q: Find the local maxima and minima for the function ƒ(x) = |x² + 4x − 5|. If there is more than one…

A: We have given function  fx=x2+4x-5 fx=x2+5x-x-5 fx=xx+5-1x+5 fx=x+5x-1 Range of the function is…

Q: Which of the following statements imply that thas a vertical asymptote at ? Make sure to select the…

A: We have given the function g(x) and the vertical asymptote at x=3.

Q: Find the exact value(s) of all numbers that satisfy the mean value theorem for f(x)=7√x+10 on…

A: NOTE: Refresh your page if you can't see any equations. . the mean value theorem: if the function…

Q: Which is a better investment? 08% compounded quarterly. 08.3% compounded annually.

A: I am attaching image so that you understand each and every step.

Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.…

A: Please see the below picture for detailed solution.

Q: F(g) = of 20 ifg≤0, tang if g70,

A: The objective of the question is checking the given function of differentiable at "0".

Q: Find the time it takes for $9,400 to double when invested at an annual interest rate of 13%,…

A:

Q: Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x)…

A:

Q: Determine if the series below converges or diverges by comparing it to a p-series using the…

A:

Q: if cost and revenue are given by C(x) = 187 +0.8x and R(x) = 8x-0.02x

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(1 − 6x) dx

A: The given integral: ∫sinh1-6x dxWe need to evaluate the indefinite integral.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IL VE - dy dx

A: ∫141 ∫x8x xydydx

Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: Чп S 1 + bu do

A: We need to evaluate integral.

Q: Determine by integral test the convergence or divergence of the series Σ √n+4

A: The given series: ∑1∞1n+4.We need to check the convergence of the series using integral test.

Q: Evaluate the following limit. If needed, enter oo for ∞ and -00 for - ∞. lim *→∞ 7x³ 6x² - 9x 25x -…

A:

Q: The dye dilution method is used to measure cardiac output with 4 mg of dye. The dye concentrations,…

A: Given ct=29te-0.6t, 0≤t≤10 Quantity of dye is 4 mg

Q: If 1 f(æ) = tanh-Và then f'(x) = 0

A: Concept: The derivative of arctanhx is 11-x2 ddxxn=nxn-1

Q: By the "end behavior" of a function we mean the behavior of its values as →∞o and a to-∞o. Do P(x) =…

A: P(x)=4x⁵-5x³+2x End behavior is determined by the degree of the polynomial and the leading…

Q: tanh x = 12/13, find the values of the other hyperbolic functions at x.  *please use hand writing…

A:

Q: 1 Let g be the function defined by g(x) = -x² + 8x. Find g(a + h), g(-a), g(√ā), a + g(a), and g(a)…

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: To find indefinite integral.

Q: Find the length of the polar curve r = cos sin where 0 ≤ 0≤ π/4 3.11 2.11 2.22 1.11 None of these -

A: Concept: The length of the polar curve r is given by the formula  L=∫abr2+drdθ2dθ Where r is the…

Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

A: Topic - inflection point of a function We are given h(x)=3ln(1+x2)+8arctan(x)we know…

Q: Find f'(x). f(x) = (5x +9) 4

A:

Q: Let R= (2₁1), Find the Point P such that PR has components 82-3,17

A: Let coordinate of point Pa,b

Q: Consider the function f(x) Answer the following questions about f(z). 8.2 (2²+4)³ and f''(a)= 2² +4…

A: Consider the function fx=x2x2+4.f'x=8xx2+42f''x=32-24x2x2+43To answer the following questions about…

Q: 9. Find each partial derivative : (a) 8³% дудх2' (b) ეპიც əxəyəz' for z = ln (sin (x − y)). for w=…

A:

Q: A van is traveling due north at a speed of 80 km/h. If the van started off 7 km directly east of the…

A: Solution:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A:

Q: The number of bacteria in a culture is given by the function n(t) = 915e⁰ 0.35€ where t is measured…

A:

Q: Consider the function f(x) = 3 (cos - Ampliude: A = Number Enter the exact answers. For the number…

A:

Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: We have given  The rate of change of the radius r of a tree trunk is inversely proportional to the…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 5z² = 108,…

A: Let's find equation of tangent plane to the surface at given point (-7,-8,1).

Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: Question Evaluate the integral. So 70 Give an exact answer. If the integral is divergent, enter Ø.…

A: We will find the required integral.

Q: Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3…

A:

Q: (1 - cos x)dy + (2y sin r - tanr)dr = 0

A:

Q: Question Determine an upper bound for the error in estimating √3e² with 4 subintervals. Enter an…

A: Please see the below picture for detailed solution.

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 - 0.1x dollars per…

A:

Q: y² Consider the paraboloid f(x,y)=4- and the point P(6,0) on the level curve f(x,y) = 0. Compute the…

A: I am attaching image so that you understand each and every step.

Q: The Rational Function f(x) = = a. Write the Equation for the Horizontal Asymptote: b. Draw the…

A: Topic = Function