The total cost (in dollars) of producing a golf clubs per day is given by the formula C(x) = 450 + 150x – 0.1x². (A) Find the marginal cost at a production level of æ golf clubs. C"(x) = (B) Find the marginal cost of producing 35 golf clubs. Marginal cost for 35 clubs =

Q: Use the formula к(t) 390 t¹4 k(t) (4 + 210 t¹3) = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = t²i+t¹5j X…

A: Use derivative for finding the curvature .

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: We need to find slant asymptote.

Q: 1 I²+1 Estimate the area under the graph of f(x) = = rectangles and right endpoints. Rn = Repeat the…

A: The Right end point approximation formula is: ∫abf(x)dx=∆xf(x1)+f(x2)+f(x3)+...+f(xn) Divide…

Q: Given the equation below, find dy dr 39x² + 9x52y + y² = 49 d.x Now, find the equation of the…

A: topic - derivative and equation of tangent line

Q: Consider the following. y 2 y=4-x² (2.0), X 0.5 1.0 1.5 2.0 2.5 3.0 (a) Form the integral that…

A:

Q: 1 Estimate the area under the graph of f(z) : = over the interval [2, 5] using ten approximating x²…

A: The given function fx=1x2+1 over the interval 2,5

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Suppose F(x, y) = -y sin(x)i + cos(x)j. (a) Find a vector parametric equation for the parabola y =…

A:

Q: Find for the equation below. dy dt

A:

Q: Find the general solution to the differential equation. xy x-6 Preview TIP Enter your answer as an…

A:

Q: The number of cars produced when a dollars is spent on labor and y dollars is spent on capital…

A: Given problem:-

Q: Full Solutions 1. CHOOSE ANY TWO of the following problems and determine i) the Optimization…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: 2. Find the extreme values of on [-2,2]. f(x) = Sve™, | 2x³ – 9x² - - x 0

A: Solve

Q: As shown in the figure below, Isabel is looking at a tree that is leaning at an angle of 87° with…

A:

Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5

A:

Q: 10. Find the position function s(t) given acceleration a(t)= 2t if v(2) = 0 and s(2)=1.

A:

Q: F = 3 x 10-4³-4.4 x 10-³w²+3.93w+0.221

A: Given :

Q: Write the logarithmic equation in exponential form. log7 2 49

A:

Q: The gradient of f(x, y, z) = xy²z³ at the point (1, 2, 1) is

A:

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 2 seconds.…

A:

Q: 58. 10 (k² - 4k+7)

A:

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists of the…

A: limx→∞ x2+8x3-11x=limx→∞ 1xx2+8x1x(3-11x)=limx→∞ x2+8xx23x-11

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A:

Q: Use Newton's method to approximate a root of the equation 3z7 + 2z¹ + 2 = 0 as follows. 3 be the…

A:

Q: Consider the diagram above, and select each statement below that is true. [n n¹] is a 1D projection…

A: The first option is correct.

Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A:

Q: 9. Determine the point of intersection of the following two lines: L₁: (x, y, z) = (1, 2, 1) + t(3,…

A: Find value of parametric by equating L1  and L2.

Q: lim (x² + e-z)(z-¹ csc z) +0+*

A:

Q: 1 1 0 Let A = 4-[4-4-7] and B= -61 1 1 Find BA if it is defined. Otherwise, click on "Undefined". BA…

A: The objective of the question is evaluate the matrix multiplication.

Q: Let f(x)= x+1 1³ - 2x² + 1

A: Solving the problem by finding the fraction from the expression.

Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = 4e* + 4x²; F(0) = -5

A: Given query is to solve the differential equation.

Q: Let f(x) = 3 + 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x= -1 and…

A: Solve the following

Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

A:

Q: Consider the following. y = √x 4 X = 8 y = 2-x -6 -8 (a) Form the integral that represents the area…

A:

Q: Evaluate S (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

A:

Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…

Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: The volume of a right circular cone of radius a and height y is given by V = dy volume of the cone…

A: Explained below

Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)

A:

Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

A:

Q: A polynomial P is given. P(x) = 2x³ - 11x² + 12x + 9 (a) Find all the real zeros of P. (Enter your…

A: We will find the roots.

Q: 3. [_x dx √2 +*

A:

Q: Evaluate the product for the following using a sum or difference of two functions. cos(45°)…

A:

Q: el Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t+ 2)i + tj, 0 ≤ t ≤ 1

A:

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [ºf(x) dx = dx = lim…

A:

Q: The population of a city is 75,000. If the population is declining continuously by 3.7% per year, in…

A:

Q: . Find an equation for the surface area of the rectangular box. =(x, y) dy = . If the surface area…

A: We will solve the surface area problem.

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of -² + 7x between x = 2…

A: The region is bounded by -x2+7x between x=2 to x=5

Q: An airplane leaves City A and flies 144 km due north to City B. It then turns through an angle of…

A: The solution is given in the next step.