n equation for the function that is described by the given characteristics. (Use x as the depend A sine curve with a period of 1, an amplitude of 9, and shifted " units to the left. 2

Q: Find the area of the region. 1 y x2 – 2x + 5 y 0.4 0.3 0.2 -2 -1 1 2 3 4

A: It can be solved using integration.

Q: Please use definite integral in solving for the area. y = |x| – 2 and the x axis

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Q: f(x) Let lim = 2. Find limits below. f(x) + 6x (a) lim 2.x f(3x) (b) lim I+0 5x

A: Use the limit given above and simplify limit for a and b .

Q: 4. tan³x sec*x dx. Use trigonometric groups

A: To evaluate the value of: I=∫0π4tan5x sec4x dx=∫0π4tan5x sec2x sec2x dx=∫0π4tan5x(1+ tan2x) sec2x dx

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. 2 1 What is the value of the integral 7xyz² dxdydz ? 0.

A:

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: Solving

Q: Calculus Use the formula for the derivative of the inverse to find (ƒ ')'(1), where f(x) = 4…

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Q: 10

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Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

Q: Let C be the parametric curve defined by x(t) = t² – t – 2, 1 y(t) = t3 – t2. 2 %3D (-:) 3 -2,…

A:

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Consider the function f(t) 9 sec?(t) – 9t?. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Consider sin °x cos2x dx. f we let 4=cos x, the integrand can be transformed to

A:

Q: x² + 49 Given f(x)= , g(x) = x – 7. Determine the domains of (x) and g(x). %3D x + 7

A: domain of function is where function is define here  f(x) = (x2 +49)/x+7) here if we put x = -7 then…

Q: The rational function 340t V(t) t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

A:

Q: True or False, If f' (3) = f" (3) = 0. then I 3 MUST be an inflection point. (Remember = to give…

A: It is given that, f'(3)=f''(3)=0 then x = 3 must be an inflection point.

Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. J5 х4 dx 3. S ( 4 x7 + 7 ) dx…

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Q: 3 (x + h)³ – a³ lim h0 h

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Q: 3x + 6A if x < -3 g(x) = 3 Ax – 7B if – 3 <x < 3 - x – 12B if 3 < x Find the values of A and B that…

A:

Q: Given IV-x2+ 4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A…

A:

Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

A:

Q: f(x) = 7 - 18x + 3x2, [2, 4]

A: We are asked to verify the Rolls theorem.

Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

A:

Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

Q: x2 +x+1 3. dx. Use partial fractions. 2x2 +2+x+x

A:

Q: Choose the graph of y= 2 arcsin x, - T S YS T 27

A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(V3/2, -1/2) O (1/2, -V3/2) O…

A: The objective of the question is determine the Cartesian co-ordinates.

Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Sinx /2

A:

Q: If the radius of an expanding circle is increasing half as quickly as the area is increasing, the…

A: Topic = Algebra The circumference at that moment is 2.

Q: Write the partial fraction decomposition of the rational expression. Check your result…

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Q: Step 3 We must also convert xõ dx into an expression involving u. Using du = 9x³ dx, then we get x…

A:

Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

A:

Q: 14. The set of all critical numbers of f(x) = 2 cos x + sin 2x on (0, 2n) is B. {등, 똥) 5T A. . В. c.…

A: f(x) = 2cosx +sin2x for critical point derivative of function is 0 f'(x) = -2sinx + 2cos2x -2sinx +…

Q: Evaluate

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Q: valuate the following indefinite integral. 4 +u -du u * 4 + u du% = u

A: Given query is to find the integral.

Q: If the graph of y= ax+9 has a x-intercept at x= 3 and a vertical asymptote x =-3, the x+c a+c=

A:

Q: Find the general solution of the differential equation. ху + у' %3D 94х y =

A: Given query is to find the solution of the differential equation.

Q: 1-x² dx

A:

Q: Consider the curve segments: $1: yx from xto x= 3 and $2: y = Vi trom x to x= 9. Set up integrals…

A:

Q: S x2+x+1 2x2+2+x3+x

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Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

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Q: a*Find the volume: Region: y=x2, y=1, x32 About y= -3

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-3,…

A:

Q: Find the general solution of the differential equation. (Use C for any needed constant.) y' = 10VX y…

A:

Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(/3/2, -1/2) O (1/2, -V3/2) O…

A:

Q: x2+x+1 2x2+2+x3+x

A: Solution: ∫x2+x+12x2+2+x3+xdx factor the denominator ∫x2+x+1x+2x2+1dx