Find dy dx y=9lnx+5 loggx

Q: Find the first partial derivatives of the function u(r,t) = 3 sin(r cost)). 1. ur(r,t) = = 2.…

A: Explanation is given below:Explanation:

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: The accompanying figure shows the dimensions of a light bulb at 10 equally spaced points. 1.60 3.20…

A:

Q: A company estimates that it can sell 4,000 units each month of its product if it prices each unit at…

A:

Q: Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and…

A: Mean Value Theorem for Integrals: If is continuous on the closed interval and differentiable on…

Q: Consider the following. -2 15 10 y f(x)=16 (4, 16) 5 g(x) = x² x 2 4 (a) Form the integral that…

A: a. ∫04​(16−x2)dx​b. 3128​Explanation:In the graph, we can find the area between 2 curves using the…

Q: Given the function y=10+24x- 9x2-2x3, find the y coordinate for maximum value. OA. 107 OB. -102 OC.…

A:

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: Find the center of mass for the lamina of uniform density bounded by x=4-y2 , x=0. Use symmetry if…

A: FINAL ANSWER:The centre of mass for the lamina of uniform density bounded by X=4-y^2,x=0 is…

Q: Suppose for a particular commodity, & = 1.4 and that currently 30,000 units are selling for $18…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Final answerlines are paralleli have attached the image below Explanation:

Q: Show that the sequence (1/nk) nen is convergent if and only if k ≥ 0, nEN and that the limit is 0…

A: The sequence is convergent if and only if k ≥ 0.Explanation:Let us analyze the given sequence step…

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A: The objective of this question is to find the critical value and rejection region for a left-tailed…

Q: If possible, can you provide me with a summary (2-3 paragraphs) that explains surfaces, functions of…

A: The objective of the question is to understand the connection between surfaces, functions of…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ +…

A: (A) S′(t)=0.12t2+1.6t+8 (B) S(4)=53.36  and  S′(4)=16.32 (C) S(12) gives the total sales of the…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The point (1, 2, 3) is in the plane r=(−3,4,0)+t(6,4,−2)+s(1,−4,4).Explanation:Steps and…

Q: The area of the region enclosed by the graphs of x = y² and y = √√30 x where y > 0 is: 632 70√5 3

A:

Q: Determine the solution to the following system: 3x+20y 8z 15 - 20x+15y-7z = 28 6x+5y4z = 7

A: The solutions are,x=1,y=1,z=1 Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The world’s total consumption of natural gas was 1824 million tons oil equivalent (mtoe) in 1994.…

A: ### ConclusionHence, the natural gas reserves would have lasted for approximately 44 years under the…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The answers are as follows: 7.The vector equation of the line isr=(7,2)+s(2,−3),s∈R.Option b. is…

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Thus, the equilibrium point is (x,p)=(3,112).The consumer's surplus at the equilibrium point is…

Q: Find f'(x). f(x)=9x²-3ex

A:

Q: a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two…

A:

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: Question 9: Using the fact that i²= -1 and the identities: and cos(x)=(-1)" x2n (2n)!' n=0 x2n+1…

A: Given that To prove

Q: Solve the equation. 0.006x=25

A: x=536.48Explanation:Step 1: Take the logarithm of both sides lne0.006x=ln(25) Step 2: For the left…

Q: Sketch the region enclosed by the given curves and find its area. y = cos x, y = 1-cos x on 0 ≤ X ≤…

A: Answer: Area= 23​+π/3​ ≈4.5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: | Suppose f (x, y) = 2x² + 1xy − 2y², P = (2, −1), and u = A. Compute the gradient of f. 15 ( 17,…

A: Therefore, the required answers are a) The gradient is (4x+y)i+(x-4y)jb) gradient at the point…

Q: 1. Evaluate each of the following integrals. If partial fraction decomposition of the rational…

A:

Q: Use the chain rule to find and, where First the pieces: శ శీరశౌర And putting it all together: x = =…

A: We need to use chain rule to find derivative.

Q: What are the values of a and b?

A: To find the value of a and b for the exponential function G(x) = a b(x-2) + c, we need to use the…

Q: A triangular plate with base 1 m and height 3 m is submerged vertically in water so that the tip is…

A:

Q: 0 and x = The curve y = 9√√√ is rotated about the x-axis between x = : 1 through an angle of 2…

A: ans=40.99 pie sq unitsExplanation:

Q: help

A: Answer:  (a) $5880(b) $3920Explanation:Step 1:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: Solution is given below and please check calculation.  if you have any doubts please ask me. Thank…

Q: If f f(x) dx = 7 and = 7 and f f(x) dx = −7, then √ f(x) dx = _ ? (Answer accurate to nearest…

A: Answer      -14Explanation:For any query with the solution, please ask in comment box.

Q: Show that the function (f : [0, infinity) -> R given by f(x) = e^{2x} - 2e^x + 2 ] has an inverse…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 1) The investment will be worth approximately $15,963 at maturity.2) It will take approximately 4.1…

Q: Suppose you need to know an equation of the tangent plane at a surface S at the point P(3, 1, 4).…

A: Answer is given below:  Explanation:Question 1:Answer:   Now 50 %D -S> Univen It) - 24+ 21 , 1 -…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: Find the factors of 24

A: We need to find factor of 24.

Q: Let f: R -> R be a function defined by function in the image. (a) Find the zeros of (f) and…

A: Given: To Find: (a) To find the zeros of f and to determine where it is positive and where it is…

Q: Find the distance between the points using the following methods. (1,5), (6,9) (a) the Distance…

A: a)Distanceformula:         Distance(d)=41​units b)Integration:          Distance(d)=41​units…

Q: 2 Determine a quadratic function f(x) f(x) = ax² + bx+ C in standard form, if its graph passes…

A: The objective of this question is to find the coefficients a, b, and c of the quadratic function…

Q: Use linear approximation, i.e. the tangent line, to approximate ^3 root (125.1) as follows:Let f(x)…

A: The value of m is:m=751​And the value of b is:b=310​ The approximate value of 3125.1​ is…

Q: Find f'(x) if f(x)=7e6x f'(x)= 0

A:

Q: Set 2π 1 +3 up and evaluate the definite integral for the area of the surface generated by revolving…

A: The required answer is 258.85 square units .Please find the attached file for details...Thank…

Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…