Given the function of two variables f(x, y)= ln(√x + 16). The partial derivative with respect to x is 1 . fx = = = x + 16 x6+y6 Select one: True O False

Q: Prove the identity. 2 sin 20 cos 20+ cos 40=1-sin 40 To verify the identity, work each side…

A: sin2θ+cos2θ = 1.

Q: Population of a certain country is growing exponentially at a rate of 1.5% per year. How long will…

A: Given problem:- Population of a certain country is growing exponentially at a rate of 1.5% per year.…

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

A:

Q: 3.745 O 7.491 Question 13 Find a at time t = 2 for the space curve r(t) = (8t − 7 )i+t²j− 10tk.…

A:

Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

A:

Q: 2. Suppose that f (x, y), g(x, y) are two continuous functions on the xy plane. Is it true that So…

A:

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A:

Q: The value of an investment of $1000 earning 9% compounded annually is 110 V(I, R) = 1000 where I is…

A: Given that, the function is VI,R=10001+0.091-R1+I10. Obtain the value of VII,R.…

Q: Use partial fractions to find the integral. S 4-x 2x²+x-1 Step 1 Rewrite the polynomial as 2x² + x1…

A: topic- indefinite integral

Q: Apply the Mean Value Theorem tof on the indicated interval. Find all values of c in the interval [a,…

A:

Q: B a A b LI Use the right triangle and the given information to solve the triangle. a = 1, c= 2; find…

A:

Q: F8 e³ti+cos(5t)j +3sin(5t)k 3 -i+cos(5t)j +3sin(5t)k Question 7 The position vector r(t) =…

A:

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: Question 8 The position vector r(t) = (4cos(t), 7 sin(t), 51²) describes the path of an object…

A:

Q: Evaluate. e14x (e14z +13)² (Note that the constant of integration is already included) dx +C

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. Discuss whether your…

A: We need to choose correct option.

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A:

Q: The mess in a house can be measured by M(t). Assume that at M(0) : = 0, the house starts out clean.…

A:

Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: Question 4 Find r'(t) given the following vector function. r(t) = 2/³i+34j+37²k O r'(t) =…

A: We have to find out derivative

Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = -2x - 3y c = 4, P(0, 0)

A:

Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

A:

Q: Find both first partial derivatives. f(x, y) = 8x - 7y + 4 (No Response) (No Response) fx(x, y)…

A:

Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: The given function,   cosx+tanxy+4=3

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

A: We need to find Surface area.

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

Q: Find the principle unit normal vector to the curve given below at the specified point. r(t) =…

A:

Q: Use la definición de derivada f'(x) = lim 1-0 7x + 2-5 Envie sus computos a Blackboard. De ne For…

A:

Q: Work problem 30 Given the vector function 5 F(1) = (61³ – ¾, sec(4 − 1)), t then find the tangent…

A: Given :Ft=<6t3-5t, sec4-t>at t=4

Q: Find both first partial derivatives. z = exy дz ax əz ду = (No Response) (No Response)

A: The given function, z=exy

Q: √5-x² LIL -√5 Jo 0 5 I² +2² (x+y) dy dz da

A:

Q: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

A: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: We need to find price and no. of people.

Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

A:

Q: {Xn} 3. Prove that the sequence 1+2n² 1-3n² Xn where is bounded.

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 30. Let f: RR and g: R → R be defined by f(x) = 3x + 1 and g(x) = x² - 2. Determine (fog)(2) and…

A:

Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: Find aw/as and ow/ot using the appropriate Chain Rule. Function Values w = y³ - 7x²y x = e³, y = et…

A:

Q: Let lim f(x)= -20 lim f(x) = 20 lim f(x) = DNE f(4) = 1 [–52, £ 4. Is f continuous at = 4? (YES/NO)…

A:

Q: Simplify. 2 sec 2 X 2 - 1

A:

Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

A: Solution of given question is written in below steps.

Q: Find the equation of the upward asymptote of the hyperbola whose equation is (x - 2)² (y+4)² 9 16 =…

A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

A:

Q: -5 -3 2-1 3+ 1 1 2 4 N -1 B 2- Submit Question ON 4+ 10. -3 Which of the following is true about = 0…

A: Let's find true statement about given graph.

Q: D O 1.909 Question 14 Find the length of the plane curve given below. r(t) = 5cos(t)i+5 sin(t)j, [0,…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Determine the continuity of the function f(x, y, z)= O continuous except at (0,5, 0) O continuous…

A: topic- continuity of a function

Q: If u(t)=sin(t), cos(4t), t > and v(t) = , use the formula below to find the given derivative. [u(t)…

A:

Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))