Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...
A: Let us assume ABCD be the cross-section of the beam that needs to be cut from the circular log of di...
Q: dy y - 5a- da 3x2 + 2x = 0 %3D 2y = 5x + 6z² - 4x In a + cr 5y = 2a + 4x-6z In a+ ca %3D Option 1 O ...
A:
Q: Use the differential to approximate the expression. Then use a calculator to approximate the quanti...
A:
Q: Q#5. Evaluate the surface integral [| f(x,y.-)dS When f(x, y, z) = 3xyz and o is the portion of the ...
A:
Q: E) + ») dy = 0 4x3 3 dx + y 3x
A:
Q: f(x) = 3x2 + 1
A:
Q: Hx'+y°-4x+Dy = - 2
A: This question is based on formation of perfect square and solving inequality notation.
Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...
A: Given: - The revenue from the sale of x cones is given byR(x)=11000ln0.02x+1 To find: - The change i...
Q: Seuchudu = In) tanh 5 ul +c In tanh %3D
A:
Q: Given the following properties of a hyperbola, sketch the graph. State the complete properties: type...
A: Given the following properties of a hyperbola, sketch the graph. State the complete properties: type...
Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...
A:
Q: y = C1e2" + C2e¬*
A:
Q: I. If z = In(xyz) implicitly defines a function, then ∂z/∂y = z / (z−y) II. Any function of the for...
A: This is a problem of partial derivative of the function. Based on the general formula used for PDE w...
Q: - 2 merefore, we have 9w? - 5w + 7 y = = 9w3/2 - 5w!/2 + 7w¬1/2. Vw w, since the function is a sum o...
A: Topic:- derivatives
Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...
A: To evaluate the given limit.limx→0+ ln xx
Q: Do not skip any steps Find the numerical value of both expressions. Give the exact value and do not ...
A: QUESTION- Find the numerical value of both expressions. Give the exact value and do not use a calcu...
Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3
A:
Q: [ u#(u – 1)"-1 đu (1+x!/n dx = n
A:
Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...
A:
Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 7i im. Σ i = 1...
A:
Q: State the type of the quadratic surface: æ² + () + 2? = 1 1. Hyperboloid of two sheets 2. Hyperboloi...
A: Solution ) given x2 + (y/8)2 + z2 = 1 We can write this equation x2/12 + y2/82 + z2/12 = 1 the gene...
Q: 3. The shaded region shown below is a sector of a circle of radius 5 centered at the origin. Set up ...
A:
Q: Cost OF REMOVING Toxic WASTE A city's main well was recently found to be contaminated with trichloro...
A: We have to find C'(80), C' (90), C'(95), and C'(99).
Q: Find an equation for the paraboloid z = x2 + y? in spherical coordinates. (Enter rho, phi and theta ...
A:
Q: EXERCISE 2.3.1 Find D (-13). EXERCISE 2.3.2 Find D (8x). EXERCISE 2.3.3 Find D (x"). EXERCISE 2.3.4 ...
A: Topic = Derivative
Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f
A: We can find the 1-unit percent change for f as below.
Q: 3(-2х + 2)5 3. y=x²e5x – + sin? (– 3x) (x – x*)"
A:
Q: lim n - co i = 1
A:
Q: Find the average value of the function f(x) = x- 2x +1 on the interval [-1, 3]. %3|
A:
Q: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 t...
A: Given query is to find linear relationship, slope and the graph.
Q: 1. Let f(x) = |x| + 2. Determine if f is differentiable at x = 0. 2. Let f(x) = x5. Determine if f'(...
A:
Q: The solution of a certain differential equation is of the form y(t) št = ae + bet, where a and b are...
A:
Q: L'Hopital's rule of 3*+1 2*+ x lim.
A: Given that: limx→+∞3x+12x+x
Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observe...
A: From Pythagoras theorem for a right angle triangle with base a, height b, hypotenuse c we have, a2+...
Q: joe*11 cos(1 - t6) dt 3/2 r6 sin(t*6 + 1) + cos(+"6 + 1) +C None of the choices O 3/2 (*6 sin(-t6 + ...
A: Use of trigonometric and integration identities are used
Q: Væ2 - 64 dx. Evaluate
A: To evaluate: I=∫x2-64x3dx Substitute u=x2-64⇒du=12x2-64(2x) dx⇒dx=ux du
Q: y = |x + 4|
A: Given: - The equation is, y=x+4 Tp sketch: - The graph of the given equation by point plotting
Q: Find cot (3pie)/4 without using a calculator.
A:
Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -
A: Graph of enclosed region -
Q: 11+11-12=
A:
Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal...
A: We need to choose correct options.
Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...
A:
Q: 1. Find the area of the region bounded by y = cos x and y=cos'x for 0sxsn/2. Note: Make sure you sho...
A:
Q: - x Find the general solution of the differential equation: dy + ( 2xy 4e dx = 0. What is the integr...
A:
Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...
A:
Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2
A:
Q: a. What is the domain of the function f(x)= (−4x) / √(5x−9)? b. What is the domain of the function...
A:
Q: x- 9 lim x-9 x²- 81 2.
A: Topic = Limits
Q: (S'34) 9uq Find vector, parametric, and symmetric equations of the line through (2,3,4) and is perpe...
A:
Q: plane flying horizontally at an altitude of 1 mile and a speed of 500 mi/h passes directly over a ra...
A: Please refer to the image below
Step by step
Solved in 2 steps with 2 images
- A cable hangs between two poles of equal height and 26 feet apart. Set up a coordinate system where the poles are 13, where x is measured in feet. The height (in feet) of the cable at position x is placed at x = -13 and x = h(x) = 18 cosh(x/18), where cosh(x) = (eª + e¯*)/2 is the hyperbolic cosine, which is an important function in physics and engineering. The cable is feet long.The following represents the graph of the function: OS(x) = cos x- cos x+- 2 2 X. TU2 3 T/ 2 (points) Based on the graph of this function do the following: a. Use your understanding of how to identify the parameters of the sinusoidal function y = asin(hx +c) + d or y = acos(hx +c)+d_to write the equation of a simpler function p(x) that describes the graph. Explain your choices. b. Check the answer you obtained in (a) by graphing the new function p(x). Obtain a printout of the graph. Explain how you used your graphing calculator to verify that your answer is сопеct. c. Verify algebraically that the two equations are equivalent.A storm is approaching and causing the depth of the water in the bay to fluctuate. The depth D(t), in meters, can be described by the function D(t) = 6 cos Which of the following graphs represents the depth of the water in the bay? TT 2T 3T 4m 5TT 6T 7T 8T 9T ^^/ +10, such that t represents the time in minutes.
- Differentiate cos(t^2 - 6)Graph y = 1 - (x²/6), y = (x sin x)/(2 - 2 cos x), and y = 1 together for-2 sxs 2. Comment on the behavior of the graphs as x -0. 3DPlot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and over the interval [-20, 20]. Use the PlotRange option to adjust the range of the viewing window so that their points of intersection are visible.
- Solve the Bernoulli's equation given below: dy -y cot2x = y' csc2x dx A. [(y )^(- 2)] sin 2x = - x + C B. [(y)^(- 2)] sin 2x = - 2x + C C. [(y )^(- 2)] cos 2x = - x + C O D. [(y )^(- 2)] cos 2x = - 2x + CQ4) Graph the following functions and determine (domain , range): (a) y=2sin (b) y=2+ cos (x+) (c) y= 2+ vx+2 (d) y=/x- 4/The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula for g when g is the result of applying only a horizontal shift to y=x^2.
- (1 point) Approximate cos(4.6) using a quadratic approximation: First note that cos(4.6) cos(3/2). Let f(x) = cos(x). Then, f'(x) = -sinx and f"(x) = -cosx Let a = 3x/2. Then f' (3/2) = -sin(3pi/2) and f" (3л/2) = -cos(3pi/2) Q(x), the quadratic approximation to cos(x) at a = 3/2 is: Q(x) = cos(3pi/2) Use Q(x) to approximate cos(4.6). cos(4.6) cos(3pi/2)(D'-00-60)2 = (2x +j) COSFind tan(u2)tan(u2) if sinu=−0.723sinu=-0.723