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A: Given :- Zeros of degree 3 polynomial are 6i and 45
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A: Note:- Since you have posted multiple question in this question which are not interlinked so i have…
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Q: show that: 3 [ f(x) +1] = gf(x)=x²-1, x +4+3 f(x) = f(x) - X-1
A: Given that : f(x) = x2 - 1 and we show that: 3[f(x) +1] = x + 4 + 4f(x) - f(x)/(x-1). Here i…
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Q: Evaluate I fe(sin x + 2y) dz + (9z+y) dy for the nonclosed path ABCD in the figure. = D A= (0,0),…
A: Here we have to find the integral along closed path.
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A: Given r''( t ) = -32j r'( 0 ) = 2003i + 200j r( 0 ) = 0
Q: b. Use the substitution x = u² and the fact that S e-u² du VI = ¹(²-) = √². to show that I
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Q: Given Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2400q, what is the marginal…
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Q: Use l'Hôpital's Rule to find the limit. In (x²+7x) In x lim X→0* lim X→0* In (x² +7x) In x = (Type…
A: K=limx→0+lnx2+7xlnxd dx(xn)=nxn-1d dx(lnx)=1x
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Q: Write the equation of the line passing through (-7,-6) and (1,1) in the slope intercept form
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Q: Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3.…
A: Given curve equation:- y=x-1x+1
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A: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…
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Q: Name: 23 22. Evaluate the limit for the graph: lim f(x). x→2¯ a. 1 b. 3 4 y+ 4 N -2 -2 0 -2 4 Q 2 4…
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Q: Solve the given differential equation. 4ydx - 4xdy + xºdx = 3dx The solution is (Type an equation.)
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Q: still can't understand. please provide more info
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Q: If interest in a bank account is compounded continuously, the amount grows at a rate that is…
A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…
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A: We can prove the convergence by using nth partial sum of the given series.
Q: To find the extreme values of a function f(x,y) on a curve x = x(t), y = y(t), treat f as a function…
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Q: For each of the indefinite integrals below, choose which of the following substitutions would be…
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Q: If g(x)= xf(x), where f(2)= 7 and f'(2) = -2, find an equation of the tangent line to the graph of g…
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Q: Find the limit. lim (2 sin x - 1) x→0 lim (2 sin x-1)= (Type an integer | (Type an X-0 integer or a…
A: Given query is to find indicated limit.
Q: Find the volume of the solid bounded by the paraboloids z = −7 + x² + y² and z = 4 − 2x² – 2y² 1300
A: The given paraboloids are: z=-7+x2+y2 and z=4-2x2-2y2
Q: Given Cost and Price (demand) functions C(q)=110q+40000 and p(q)=−2.3q+950, what is the marginal…
A: Given Cost and price function:- Cq=110q+40,000pq=-2.3q+950
Q: Consider the following graph of f(x) 101 6- 4- V 2- 3 5 6 7 8 19 10 11 X -2- 8- -4- -6- -m A -L -00…
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Q: Suppose that f(x, y) = √√5² - x² - y² on the domain D = tr=5 O = {(x, y) | x² + y² ≤ 5²}. Q Then the…
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Q: Consider the curves y = x^2 sinx and y = -1 - sqrt(1 + 4(x + 2)^2 ). Find the x-coordinates of…
A: To find the x-coordinates of the points of intersection of the two curves, we need to solve the…
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Q: Find an equation of the tangent plane to the surface at the g h(x, y) = In √√x² + y², (6, 8, In 10)
A: Given: h(x,y)=lnx2+y2 at (6,8, ln10) To find: The equation of the plane to the surface
Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…
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Q: da x²√4x-9 dt Ive²-√t dx X- - √√x
A: We can solve this integral using substitution. Let's make the substitution u = 4x - 9. Then du/dx =…
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Q: The so-called cuspidal cubic is given parametrically by the equations x = t³, y = t² Compute the arc…
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A: According to question,Given Position function,x = 8 sin πt6
Q: Use l'Hôpital's Rule to find the following limit. 5x² lim x→0 In (sec x) 5x² lim x→0 In (sec x) 11…
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Q: Use Lagrange multipliers to find the points on the cone z² x² + y² that are closest to the point…
A: Lagrange multiplier is used to solve many problems related to finding the maximum or minimum value…
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Q: A company is considering expanding their production capabilities with a new machine that costs…
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Q: 6) Differentiate y=2 cos (z) + 6cos¹ (z).
A: Since you have posted multiple question in this question which are not interlinked so i have solved…
Q: Find the extreme values of the function f(x,y,z) = 5xy + 5z² on the circle in which the plane y - x…
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Q: Find all the zeroes of the function f(x) = 5x³-54x² + 170x-104; given 5 + ✓ is a zero
A: Given: f(x) =5x3-54x2+170x-104 One of the zeroes of the the given function f(x) is 5+i
Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…
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Q: The sides of a square baseball diamond are 90 feet long. A player is between second and third base,…
A: The sides of a square baseball diamond are 90 feet long. A player is between second and third…
Q: A car leaves the city traveling north at a constant speed of 60 miles per hour. A second car leaves…
A: The details solution of the given question is given below in step 2.
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- 2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?Use field II to sketch the graphs of the solutions that satisfythe given initial conditions. a) y(0) = 1 b) y(0) = 2 c)y(0) = -14. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?
- Show that x = cos x has at least one solution in the interval [0,2].The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = k(H) = aHe-bH for positive constants a and b, with domain (0, infinity) and k'(H) = ae-bH(1-bH) 1. Use the definition to find the only critical point H1 of k on its domain. 2. Use a number line and the first derivative test to show that the oxygen supply is maximised at H1.You have to explain how you determine the sign of the first derivative on every interval. 3. What is the maximum oxygen supply? 4. How does increasing the value of the constants a and b in the same proportion change the maximumvalue of S? Please answer 3 and 4general solution of the PDE uux + yuy = x is of form
- Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $how can i show that t/(1+t2 )-tan-1<0 for t>0 algebraically?Use the Intermediate Value Theorem to show that there is a solution on the interval [0, 1] to ?