f (x) +f (1 – 4 ) = x

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: What is the coefficient of the second term in a binomial that is raised to the sixth power? 5 15 20…

A:

Q: Drag each set of column entrles to the correct locatlon In the matrix equation. Not all sets of…

A: This problem gives us the system of linear simultaneous equations. This system can be represented by…

Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False

A: Root Test : Suppose we have series ∑ an .Define,                          L = limn→∞ an1n .Then ,(…

Q: 6 Find the sum of the arithmetic series, 3n+2. 50 75 100 25 O O O

A:

Q: The graph of f is shown in the figure to the right. Let A(x)= f(t) dt and F(x) = | f(t) dt be two…

A: Definite integration

Q: Question 3 1-. a) [. following series -): : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent…

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Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…

A: Please see the answer below.

Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: dy/dx+4y/x%36x-5 if y=1 and x-1 then C equal 2 -1 1 O O O O

A:

Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

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Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: 8n + 3 E(-1) "-1. n2+3 n=1 a) Determine whether or not the series is absolutely convergent. b)…

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Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. 9y-4x…

A:

Q: limn→∞ √n = ∞

A: Given :limn→∞ n

Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

A:

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

A:

Q: 1 ): The vectors 2 and form a basis the vector space R'. Select one: O True O False

A: Here we state whether it is true or false.

Q: de

A:

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: Determine if the infinite series is convergent or divergent. State the test that you're using and…

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Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b). If the…

A: We have to check if Mean value theorem can be applied or not.

Q: Problem #2: Differentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2). %3D Solution: Reason:

A: To differentiate the given function.

Q: For f(x)=3xv(4-x²) determir within its domain..

A:

Q: Activity 1. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A:

Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem

Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: 3. If f(r) VI-I, g(z)%= VI+1 find the domains of(Jgx) and %3D %3D (f9)(x) V-1?( 17(

A: Given ptoblem:- 3. If f(x)=√(x-1), g(x)=√(x+1) find the domains of (fg)(x) and (f/g)(x). Is (fg)(x)…

Q: 24. Find the volume formed by rotating about the y -axis the region enclosed by: x = 9y and y3 = x…

A: Here, the curves are x=y3 & x=9y. Now, the points of intersections are at: y3=9y⇒y=0,3   because…

Q: 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product…

A: Please follow the explanation in the next step.

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: Let D be the solid unit cube: 0 < x < 1, 0 <y< 1, 0 < : < 1. Let S be the closed surface boundary…

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Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)

A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…

Q: Decompose v into two vectors Vị and v2, where vi is parallel to w and v2 is orthogonal to w. v - -2i…

A:

Q: -3 < x To nenen Is fox is odd ? even or

A: Use definition of odd and even .

Q: 4 Which of the following is the correct expansion of (3x - 3y)2? 9 x2 - 18 xy + 9 y2 9 x2 - 9 y2 9…

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Q: 3- A box with an open top is to be constructed from a square piece of cardboard, 3m wide , by…

A:

Q: -2 is a critical number of the function f(x) = /2x – a %D - Select one: True False

A:

Q: 1. Use the graph of f(x) below to a Determine tht demain and ramge-ofthe fencion D Tind all x such…

A: From the given graph we have to find its required information.

Q: Answer part b

A: Topic:- trigonometry ratios

Q: Question 25 Find the standard form of the equation of the parabola using the information given.…

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Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) [x² +…

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Q: 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is…

A: We have to find the velocity and acceleration.

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx du = dx |…

A: