Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b. [...
A: Here we have to transformed the given integrand.
Q: To evaluate 3cos x=1 dr. the integrand can be transformed to 1-sin2x A.) S(3cos³x + csc?x)dx B.) 3 c...
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Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10. ...
A: We can use the given equation to solve for profit
Q: 20. Find the equation of the curve for which y" = x, and which passes through the point (1, 2) and t...
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Q: Iu the values of the parameters of f(t) = A+ B sin(C(t – D)). (o. 1) (1-3)
A: We have to find the value of A , B , C and D
Q: Suppose top part of the ellipse (x^2/a^2) + (y^2/b^2) = 1 is rotated about the x-axis. Find the volu...
A: We want to find volume of the solid we obtained by revolving about x axis.
Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...
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Q: You have been asked to build a ramp for Dan's Daredevil Motorcycle Jump. Base of the ramp is to have...
A: Base of the ramp is to have width x=100 feet and angle of inclination θ=10 degrees.
Q: 19. Find the total area between the parabola y = x2 - 4x, the x-axis, and the ordinates x = -2 and x...
A: We can use integration to calculate the area
Q: 1. (5 points) Given the equation of a circle 2x2 + 2y2-32x + 12y + 90 = 0 Rewrite it in the standard...
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Q: A professor gives an undergraduate assistant a summer job organizing her lab. On the first day, the ...
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Q: 3. Graph the following quadratic function. Rewrite in the form f(r) a(r-h)+k and identify vertex, z/...
A: The graph of f(x) is shown below:
Q: W 34° T2°
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Q: A company’s total sales (in millions of dollars) t months from now are given by S(t) = 3 + √t a. Fi...
A: Given s(t) = 3+tinstantaneous rate of change is given by R = ds(t)dt
Q: The point (,- ) is on the unit circle corresponding to an angle 0. Compute the six trig functions fo...
A: The point on the unit circle is: 316, -247256
Q: Suppose that f(1) = 5, ƒ(4) = -8, f'(1) = 4, f'(4) = -2, and f" is continuous. Find the value of | 2...
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Q: In Problems 63–68, find f' (x) and find the value(s) of x where the tangent lině is horizontal. 65. ...
A: The given function, f(x)=x2x+52
Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y
A: Given: D4-4D3+7D2-4D+6y=0
Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?. 4+2...
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Q: The left side is more complicated, so start with it. Use a Pythagorean identity to simplify 4 cos? B...
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Q: - 5(x – 9)(x + 8). Which of the following are true? Select all that apply. b. Suppose f(x) = - OAs x...
A: b) f(x)=-5x-9x+8c) f(x)=6500-x3
Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?
A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward. Conc...
Q: Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to H...
A: NOTE: Refresh your page if you can't see any equations. . a force of 17 N, stretches a spring 0.3 m ...
Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...
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Q: Which of the following are rational functions? Select all that apply. 1 Of({x) = Of(x) = log(x) 3* O...
A: functions are given we have to find the rational functions.
Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...
A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.
Q: 4. -[lp A~ q) A r] = ¬p V q V ¬r 5. -[p → (¬q)] = p A q 6. (p → r) A (q → r) = (p V q) → r
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Q: Perform the indicated operations and express your answer in decimal notation. 8.4 x 10-4 -4 8.4 x 10...
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Q: 14 If dx and y when x = 1, find y(2). 3x- 40 A 27 27 26 27 27 B)
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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...
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Q: nd the vertical intercept, or intercepts, of the function v(t) given below. v(t) = 4|t – 5|- 12 your...
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Q: 1. 4x cos(2 – 3x) dx
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Q: b. Let g(x) = x² – 7. Determine the root(s) of g. 7,-7 Preview 7 = 7., – 7 = -7. c. Let h(x) 5x? - 3...
A: Topic = Algebra
Q: Given the differential equation y" - 8 y' + 16y 7sin(9x)
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Q: Substitution in the Definite Integral Suppose we want to evaluate the definite integral, 6 cos? z si...
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Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...
A: We will find the anti derivative.
Q: a. lim g(x) = x→3+ Preview b. lim g(x) x→3 Preview c. lim g(x) = Preview
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Q: 5dx If Verz+1= 2, what is the value of b? %3D A.) 2 B.) 4 C.) 8 D.) 9 A D B A
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Q: Let z = f(x,y) = 6x - 9xy + 4y. Find the following using the formal definition of the partial deriva...
A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...
Q: Given the linear system x1 - x2+ x3 + x4 =5 - 2x3 + 4.x4 = 3 2x1 - x2 - a3 + 4x4 =7 a) Write its aug...
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Q: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...
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Q: Use Newton's Method with the function f(x) = x³ – 5 and initial value xo = 1.5 to calculate æ1, x2, ...
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Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)
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Q: 81 구 4 The graph of f(x) is shown in red. Draw the graph of g(a) = f( – x). -8 -7 -6 -5 -4 -3 -2 -I ...
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Q: ssume you are given the surface S with equation æ² + + = 1. = 1. 9
A: We can use distance formula to solve the problem
Q: 13. To evaluate S - 3cos²x=1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+ csc²x)dx b...
A:
Q: Suppose that h(x) has a continuous derivative h'(x), h(0) = -2, h(T/4) = 2 and tan(x)h'(x) dx = 4. E...
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Q: Regarding y as the independent variable and æ as the dependent variable, find the- y* + 5x²y² + 4yxª...
A: Given: - The curve is,y4+5x2y2+4yx4-2y=83 at the point (2,1) To find: - The slope of the tangent lin...
Q: 8- 6- 4- 2. The graph of f(x) is shown in red. Draw the graph of g(x) = - f(x). -8 -7 -6 -4 -3 -2 Ma...
A: The graph of the equation f(x) is given , find the graph of 1) g(x)= -f(x) 2) g(x)= f(x)-3 .
Q: E O y, = [Ax? + Bx] e2*
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- Consider an F-curve with df = (15, 5). Determine the F-value that has area a. 0.025 to its left. b. 0.975 to its left.For f with derivative as in Figure : (a) Is f (c) a local minimum or maximum? (b) Is f a decreasing function?3. Find the linear approximation of the function g(x)=3√1 +x at a =0 and use it to approximatethe numbers 3√0.95 and 3√1.1. Illustrate by graphing g and the tangent line.
- Consider a Lorenz curve given by f(x)=x^n for 0≤x≤1 and n≥1. What happens to the Gini index G.I as n→1, and what's the interpretation of that result?Find a point c satisfying the conclusion of the MVT for the given function and interval. y = √x, [9, 25]Consider the relation x2z2 = arctan (xyz) + 4, which defines z as an implicit function of x and y, then: Possible answers in the picture