03/: Find the area over the region R that lies inside the cardioid r=1+ cose and outside the circle r=1 then sketch it?

Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

Q: K The following graph is the result of applying a sequence of transformations to the graph of one of…

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Q: B-Prove that the solution of the following differential equation xy' + y = xis y = In(ex*), when…

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Q: Use the Distance Formula to find the distance between the two points in polar coordinates. (Round…

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Q: No O Yes 2. Is the follow...g graph a function? desmos.com

A: This question can be solved using the concept of vertical line test.

Q: Let f(x)=10-3x². Find the average rate of change of f(x) on each of the following intervals. (S…

A: Function

Q: 28. F(v) V v+2

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Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: Let 9-- 9 4 Part A: What is a coterminal angle of such that 0 ≤ 0≤2m? Part B: What are the exact…

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Q: (4 4 Find the roots of Z²₁+1=0 it/2 Hint i = e :

A: Given :Z4+1=0Hint : i=eπ2i

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

Q: 3. The graph of f'(x), the derivative of f(x), is continuous for all x and consists of five line…

A: The graph of f'x is given as , find the absolute maximum value of fx over the interval 0,3.

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: (Homogenous) Solve the diff eq. x dx e-x (y + 1) dy + y³ =

A: The given differential equation, xdxe-x+y+1dyy3=0 Formulas used:…

Q: Explain why lim F(x) in Figure A exists, but lim f(x) in Figure B does not. X-2 X→-2 Figure A AF(x)…

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Q: On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the…

A: From the given details:

Q: Let A= 10-2 02-5 and b= 11- Denote the columns of A by a₁. 2. 3. and let W=Span (a₁. ₂. 3) -26 2 a.…

A: The objective of the question is linear combination of vector and choosing the correct option.

Q: 2. (Equation of a Line) Write an equation of the line passing through the points (-1,3) and (8, 11).

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Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

Q: Find the set on which the curve is concave upward. Answer (in interval notation): | 2 y = ₁² 1²+ 3²…

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Q: d) lim g(x), where g(x) = x-2 ~ (x-3)² if x > 2 x+1 if x ≤ 2

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Q: for the following P.d.f of x, find the p(x<1) and p(x<1) .F(x)=x²/18 if -3<x<3 and 0 in other place…

A: Let's solve.

Q: Find Domain and Range y=-ex-1 The domain is (-00,00) and range is (-00,0) The domain is (0,00) and…

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Find the sum of the following geometric series: 3 Σ an=64n

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Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: Let lim f(x) = 19 and lim g(x)= 16. Use the limit rules to find the following limit. X-9 X-9 lim…

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Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

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Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…

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Q: 8. (Optimisation.) The function f(x) = 2x³ - 3x² - 12x+80 has domain 0 ≤ x ≤ 4. Your goal is to find…

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Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. a. mean = 3; st. dev. = 1.414 O b.…

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Q: Q04:4/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² +…

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Q: 3. Find y' for y = cos(sin² x)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the limit. lim sec x X-0

A: The limit is given by limx→0secx To evaluate: The value of the limit.

Q: Consider the function defined as follows: f(x) = 5x² f(x+h)-f(x) and completely simplify your…

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Q: Question 14(M A sine function has an amplitude of 3, a period of T. and a phase shift of 03 Oo 0 -3…

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Q: Integrate: x² cos(2x) dx

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Q: V₁= 2³²-37²³² +27= 0 + 1 (1-1)(1-2) = 0. 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +₁=1, 4₂-e…

A: The objective of the question is simplying the given integral.

Q: and b please its so confusing

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: False statement

Q: 4) - How much work box horizontally 10ft with a force of 2016 applied at an angle of 45° to the…

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Q: Q5. Find a general solution for the following second order non homogenous ODES. y"-4y' + 4y = 2e²x +…

A: Given: y''-4y'+4y=2e2x+4x-12 So, we can also write as; D2-4D+4y=2e2x+4x-12 The auxiliary equation…

Q: 2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the…

A: The given function is : f(x)=xsinx Now finding the derivative f'(x) :

Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.

Q: Find the domains of the following relations. Write them in interval notation. f(x)=√x²-25 (b) x+4…

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Q: If your weekly cost, C, (in dollars) to manufacture L laptops and D desktops is: C(L, D)= 5000+50L…

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Q: Find an equation of the plane passing through (0,-1,3) that is orthogonal to the planes 3x+4y-2z=0…

A: Let's find equation of the plane.