dr de r= (7 + sec 0) sin 0 Find dr de ||

Q: Calculus Two surfaces are said to intersect perpendicularly at a point if their normal vectors are…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√x +

A: Solution is given below:

Q: Find the limit of the following:  a) lim x→∞ (sin2x / x2) b) lim x→∞ (x - √x)

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: 4. If P1000 becomes P1126.49 after 4 years when invested at a certain nominal rate of interest…

A:

Q: =. Sketch the level curves of g(x, y) corresponding level curves for each k. = y-3 at k = -2,0,2 on…

A: Level curve for g(x,y)=y-3x2

Q: c. If i(t) = 12 cos(10t+ π/6) µ A and q(0) = 2 µ C, then q(t) = ( [ d. If i(t) = 3 e-30t sin40t A…

A: (c) Given : i(t)=12cos10t+π6μA  and q(0)=2μC

Q: ind the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: y=8x3,y=0,x=1 about x=2

Q: Exercise 8.6.9. The following formulas define functions f and g from R to R. Find formulas for…

A:

Q: Find an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 0, 2). Use…

A: Equation of plane passes through three point using vector operations

Q: 2 4-x-y f(x,y) = √4-x In(x)

A: Please see the below picture for detailed solution.

Q: The function f' defined by the formula f(x + h) − f (x) h f'(x) = lim h→0 s called the derivative of…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: Let's find limit of given function.

Q: 189. [T] x = 4 from y=0 to y = 2 190. [T] x = ln(y) on y = to y = e For the following exercises,…

A: See this solution in below.

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The solution is given below

Q: resut. 397. 398. 399. Id dx 19-2 dx 11-16x² dx √9+x²

A:

Q: 1. Consider the ODE: (2x + 4y) + (4x − 2y + 1)y' = 0. Verify that the ODE is exact and then find its…

A:

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A:

Q: dP 153 - 17t people per year. Find a dt The population of a town is growing at a rate given by…

A:

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

A:

Q: 2) Suppose that f(x)=x*(1-x) Find the maximizing value of x and what f(x) equals at that x. b) How…

A:

Q: 17)  Perform the following arithmetic operation: 62C16 / 12E16 = ____________

A: We have to calculate base 16 multiplication i.e. 62C16/12E16

Q: . The population of Bougainville exponential function P(t) = ae use it to calculate when the…

A:

Q: evaluate the integral

A: Answer and explanation is given below..

Q: When purchasing a heat pump unit, an installer is given discounts of 12%and 2%. The unit is priced…

A: Given, Marked price (MP) of heat pump =$3400 Discounts 12% and 2%

Q: Solve the given linear differential equation.Use C as the constant of integration in your solution.…

A:

Q: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values. (a) (fg)'(5) (b)…

A: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values.   (a) (fg)'(5)   (b)…

Q: The unit cost, in dollars, to produce bins of cat food is $15 and the fixed cost is $15470. The…

A:

Q: Can we use x = vy?

A: The Solution is given below

Q: The total cost (in dollars) of producing x food processors is C(x) = 2500 +90x-0.3x². (A) Find the…

A: The given cost function is: C(x)=2500+90x-0.3x2

Q: Parabola y² = –12x FIND THE: Opening - Vertex - Focus - Directrix - Axis of Symmetry - Latus Rectum…

A:

Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).

Q: For the given functions, a. write a formula for fog and g of and find the b. domain and c. range of…

A:

Q: y = x²y + 1

A: To differentiate the given function.

Q: Find a plane containing the point ( – 2, — 1, − 2) and the line of intersection of the planes − 3x +…

A:

Q: Shs 1m was invested at compund interest rate of 10% per annum .find (a) amount accumulated ater 5…

A:

Q: Express the repeating decimal as a fraction. 0.747474...

A:

Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function fx=x4-4x3+10 we have to find the value of absolute maximum and absolute minimum…

Q: 5. Use derivative rules to find the derivative of h(a)=3f(x) - 2g(x) - ² f(x) + Show steps fo 6.…

A:

Q: 2. Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

A:

Q: ← Find the marginal profit function if cost and revenue are given by C(x) = 153 +0.2x and R(x) =…

A:

Q: Identify the inside function, u = g(x) and the outside function, y = f(u). (Use non-identity…

A:

Q: Use the price-demand equation to find E(p), the elasticity of demand. x=f(p)=87-0.7 e P E(p) =

A:

Q: Example 3: The formula for converting a temperature in degrees Celsius into degrees Fahrenheit is F…

A: given, x repersent the temperature in degree celsius

Q: Refer to the graph of y=f(x)=x² + x shown. a) Find the slope of the secant line joining (-3, f(-3))…

A: The function is given by fx = x2+x The formula of the slope of the line joining x1, y1  and x2, y2…

Q: lim X>11 2 31 x² + 4 - 5 2x²-15x-77

A: We will evaluate the limit in the below steps.

Q: aquar the aquarium. (Use Show how to approximate the required work (in J) by a Riemann sum. (Let x…

A:

Q: A certain retailers will buy 22 cordless phones from a supplier if the price is $72 each but only 35…

A: This question can be solved by applying the concept of linear equation.

Q: 2 3. The function f(x) = x³ - 2x² +4 has only one zero on the real line. Find an interval [n, n + 1]…

A:

Q: 2) The profit (in dollars) of a company is given by P(x) = 840x75.6-0.4x², were x represents the…

A: The given profit function is: P(x)=840x-75.6-0.4x2