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Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

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Q: If y=(sin3x-cos3x)², find dy dx

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Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: Solve the nonlinear inequality. Express the solution using interval notation. x+1+x+4 so Graph the…

A: Please see the below picture for detailed solution.

Q: (x²-1, x0 Determine the domain and range.

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Q: 6. Find the antiderivative of e(4lnx) - e(4x 5 4 O e e4x 5 4 +C +C 04-e+ +C 4x³-4e4x + C

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Q: The graph is a transformation of one of the basic functions. Find the equation that defines the…

A: We can find the answer as below.

Q: Suppose f(x) and f'(x) have the following values. -7 -6 -5 -4 -3 4 -9 1 9 2 6 x f(x) -2 f'(x) 1 -2 3…

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Q: dy If y = arctan(er), dx

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: Find an equation of the tangent line to the graph of the function 2 x 4 2x+4 at the point (4, O Oy=…

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Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. b.…

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Q: Determine the area, in square units, of the region bounded on the right by the line g(x) = -3x+27,…

A: Given thatgx=-3x+27fx =-x-52+16To find: Area bounded by the region with respect to y.Note: right to…

Q: In exercises 1-28, evaluate the indicated limit, if it exists. Assume sin x that lim 20. lim 240 sin

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Q: A rectangular playing field is to have an area of 400 sq. meters. Fencing is required to enclose the…

A: Concept: Area of the rectangle is  A=length×width Fencing of the rectangle means covering its…

Q: If 2x ≤ g(x) ≤ x^4 - x^2 + 2 for all x, evaluate lim x → 1 g(x) using the squeeze theorem

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Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

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Q: Evaluating a Function Evaluate the difference quotient and simplify the result f(x) = x² - 7x + 3 0…

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Q: If y = arcsin(4x + 5), dy dx =

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the expected…

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Q: 2. Graph the function y=2-x, x = 0 √x, x>0 Determine the domain and range.

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Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

Q: Sketch the graph of the following function. List the coordinates of where extrema or points of…

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

Q: An integrand involving a radical form 49-16x2 suggests the substitution

A: Given: fx=49-16x2 Let, I=∫49-16x2dx   ....(1)   As we know the trigonometric identity; 1).…

Q: If y = arcsin(ln(3x – 4)), dy

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Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

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Q: Solve the differential equation. y' + y tan x = cos X, -π/2<x<π/2 A y = x cos x + c cos X, - B) y=x…

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Q: 7 g(x) = (3x²-2)-2 2x+3 و ga) = -2 (3x²-2) -3 / (2x+3) (6x) - (3x²-2) (2) (2x+3)2 (56) = (-2…

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Q: Find the domain of y= 6x-1 √25-x²

A: Domain of y=  6x-125-x2

Q: In how many ways can we select 6 people out of 12, of which a particular person is not included? O…

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Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + yexy + (4xy + xexy +…

A: See this solution in below with details.

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: The objective of the question is defining matrices. Note -  As per our guidelines we are supposed to…

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

A: This is a problem related to probability distribution function. Please follow the procedure given…

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: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: Let a. Find (fog)(x). (fog)(x) = f(x)= 5 x and g(x)= 3 x²

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Q: For question 2a, does it still work out if I put the x's to the left and y's to the right instead?…

A: Integration.

Q: Find the determinant of the matrix.

A: Concept: Determinant: A square matrix's components can be used to calculate the determinant, a…

Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: For the point P(-20, -3) and Q(-13,0), find the distance d(P.Q) and the coordinates of the midpoint…

A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: The diagram has been redrawn to indicate the required point.

Q: 3) Find the divergence and curl of f3xi+ 5x} j + 2y²k, at the point (1,2,3)

A: Solution is done in step 2

Q: Please find attached

A: To sketch the graph of the equation given.

Q: DUE NOW. Please answer all the script part as the same as the process on what's in the sample…

A: The objectives are: Now we have to make a script as the following;

Q: y = x ² √√9-x² = x²(9-x²) ¹/2 WwS =/0²7 xF-P y² = x² [² (9-x²) ²¹/²2 (2x)] + (9-x²) ¹2 (2x)

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

Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

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