The force F (in pounds) on a person's back when he or she bends over at an angle e from an upright position is modeled by 0.6W sin(e + 90°) sin(12*) where W represents the person's weight (in pounds). (a) Simplify the model. F- (b) Use a graphing utility to graph the model, where W = 175 and 0° s e s 90°. At what angle (in degrees) is the force maximized? At what angle (in degrees) is the force minimized?

Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: Problem 4 The helix r(t) = (cos(xt/2), sin(xt/2), t) intersects the sphere x2 + y² + z² = 2 in two…

A:

Q: Solve the following differential equations of y" +4y'+3y=3e²x;

A:

Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

A: Given data÷

Q: Find the average value of on the interval [0,4]. favg f(x) = x²√√√17 + x³

A:

Q: пр 4. STIS df x²s 5. Evaluat

A: I=∫0π3  x2 sin3x dxIntegration by parts;u=x2, v=sin 3xI=x2∫sin3x dx-∫(2x ∫sin3x dx)  dxI=-x2…

Q: y″ −3y′+2y=e¹x ; y"

A:

Q: A continuous O Ext F(XI = Find ***** V-V- K x has CDF X Co oxx cl 15X value of k 16 17 18 19 20 21…

A:

Q: Select the conic section represented by the equation. 5x 2 + 9y 2 - 80x + 54y + 221 = 0 point…

A:

Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: d the area inside ²4 sin 20, 8 4 16 0≤0≤

A:

Q: If [2x 3 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 ] [ 1 -3 0 * 0 = 0, then the value of x is

A:

Q: Find the Maclaurin series centered at c and the interval of convergence. 12) f(x) = 1-2x 13)f(x) =…

A:

Q: -2 + อน Ore 0

A: Suppose uxy=0 , denotes u = uy implies uy = 0 uxy = F(x) + G(y)  ,satisfies uxy = 0 a) y du/dxdy +…

Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?

A:

Q: Find the slope of the normal line to the graph of g(x) = = at the point where x = 0. sin¯¹(x)+e²

A: Slope of the Normal line to the curve f(x) is -1f'(x).

Q: fx-²dx

A:

Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: Find the area under the curve y = Find the average value of y = 7x³ over the interval [0, 4]. 7x³…

A:

Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: Find the exact length. T=0², 0≤0 ≤ 2π ° 4[G²+1²] ²3 [(x² + 1)² - 1] [(²+1)-1] ° 4[68² +1²]

A:

Q: ست مارت منطقه مصرف سرت

A:

Q: [w (1-32)] 3w 11. lim w In 1 In W→∞

A: LetL=limw→∞ wln1-23wFor L hospital L=limw→∞ ln1-23w1wNow apply L hospital ruleL=limw→∞…

Q: y = x² + 2 Δy = dy= Need Help? x = -3 Read It Ax dx = 0.01 Watch It (Round your answers to four…

A:

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

A:

Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

A:

Q: 12 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Domain -6 ≤ x ≤ 7 -7 ≤ x…

A:

Q: Find the point of intersection (xo, Yo, Zo) of the lines given as: o = i i i Vo = Zo = L₁: x= 7+t, y…

A:

Q: = Find area of the region bounded by x² + y² = 4², 10y = -6x and 13y 8x where y > 0. Leave your…

A:

Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: Given problem :- use squeeze  theorem evalute limx→-∞sin(sin(hx))csc(hx)

Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: NE- My Ne If = Q, where is a function of y only, then the differential M equation M + Ny = 0 has an…

A: ydx+3xy-e-3ydy=0

Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

A:

Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: Describe the graph of the equation. r=-13 i+(1-t2) j+t k O It is a parabola in the plane x = -13,…

A:

Q: Solve the following differential equations of d²y_2dy + y = 2x dx² dx

A:

Q: Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y =…

A:

Q: Find all Max., Min., Saddle point for the functions below: P(x) = 2xy-5x²-29² + 4x +49-4

A:

Q: 1+/ lim x-1 2x² + x1

A:

Q: Use the graphing guidelines to make a complete graph of f. f(x) = -x³-9x² +1296x-3780

A:

Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

Q: Integrating 1. y' + y = x+ Factor by Linear Equations:

A:

Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

A: answer is in next step

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

A:

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 4 4. lim log(x+3)…

A: Given: limx→1-log12x+31-coshcos-1x