Suppose that the functions fand g are defined as follows. f(x) = 4x2 - 5 g (x) = 4x-6 (a) Find |(2). (b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas. (2) = 0 (a) (b) Value(s) that are NOT in the domain of S bo

Q: Plane x+4y-3z=1 is perpendicular to plane -3x +6y+7z D0- O True O False

A: normal vector of plane x+4y-3z=1 is <1,4,-3>and normal vector of plane -3x+6y+7z=0 is <-3,6...

Q: 29. Σ (3 E)" = { n=2

A: Consider the provided information, ∑n=2∞23n=43 Show that left hand side is equal to right hand side....

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A:

Q: Use the table of integrals to find the indefinite integral. -dx 3-5x

A:

Q: 57-58 - Graphing Logarithmic Functions Match the logarith- mic function with one of the graphs label...

A: Given functions are f(x)=2+lnxf(x)=lnx-2

Q: Find and simplify each of the following for f(x) = 2x-9x+7 (A) f(x + h) (B) f(x + h) - f(x) f(x +h)=...

A: The given function is fx=2x2-9x+7

Q: d^2y/dx^2 − 6 dx/dy + 9y = 2 + x^2 − x^3

A:

Q: 7. Evaluate tan'(sin 5).

A:

Q: Differential EquationFind the general solution of the following Repeated Roots of Auxiliary Equation...

A: As per bartleby expert policy only firat individual question is to be answered. Kindly repost other ...

Q: A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 129.94 c...

A: 1) It is given that, the length of the arc is 129.94 cm.  Also, 1360th of circumference is 0.73 cm. ...

Q: Use the graph of g(x) given below to answer the following. Give exact numeric values in decimal form...

A: For the right sum, R4 ,we have n=4, or, four equal partitions of the interval [0, 2]. So, the length...

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = 390. c and y = c² – a? is ...

A: we know that areaA of the region enclosed by given parabola is given by A=2∫-ccc2-x2dx=4∫0cc2-x2dx  ...

Q: 2. Find the equation of the tangent line to the curve y = In(x'-7) at (2,0).

A: Given :          y=lnx3-7

Q: x+2 Solve the following equation for x: In = 3.

A: Take ln function on both sides of the equation to simplify. lnx+2x=3elnx+2x=e3x+2x=e3

Q: Find the area inside the circle r=−3acosθ and outside the cardioid r=a(1−cosθ), a>0.

A:

Q: 1 Consider the function y = on the interval |0, 3 9x + 1 a) Find the slope of the secant line on thi...

A: Given function is, y=19x+1 The value of y2 at x2 = 1/3. y2=19x2+1y2=19×13+1y2=13+1y2=12

Q: Find the area of the region bounded by the graph of f(x) = x(x + 2)(x - 1) and the x-axis on the int...

A: Area of the region bounded by f(x) and x- axis  

Q: find the roots of 6x2-2x+5=0

A: Given : 6x2-2x + 5 = 0

Q: Use Simpson's rule with n = 6 to approximate cos(x) -dz Preview Keep at least 2 decimal places accur...

A: To find h, substitute 1 for a, 5 for b and 6 for n in the formula h=b-an and simplify. h=b-an=5-16=4...

Q: Find the general solution of the differential equation √(1 − 4x2) y′ = x

A: Given differential equation - 1-4x2y' = xy' = dydxy' = x1-4x2dydx = x1-4x2dy = x1-4x2dxIntegrating o...

Q: Clare had 400 apples and some oranges. She used 1/5 of her oranges to make fruit punch. In the end, ...

A: Total no. of Apples Clare had = 400   Let's assume that she had total oranges = x      Since,       ...

Q: Evaluate the integrals. ∫sin-1x/√(1 - x2)dx

A: Consider the provided integral, ∫sin-1x1-x2dx Evaluate the integrals. Apply the Substitution method,...

Q: A decreasing function g satisfies g(4) = 6 and g' (4) = –2. Which of the following statements about ...

A: First calculate g with the help of given condition and then calculate its inverse 

Q: Second derivatives Find y″ for the following functions. y = cos u sin u

A: Given- y=cosu·sinu To find- The second derivative of the above expression. Formula used- sin2x=2sinx...

Q: Evaluate the integral. 2 (6x – 6)(8x2 + 5)dx

A:

Q: If f(x) = x-6 +e2" , find f' (x). Select the correct answer below: O f'(x) = -a5+e O f'(x) = -6æ-7 +...

A: Consider the following formulae: ddxxn=nxn-1ddxeax=aeax Consider the following function: fx=x-6+e2x

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A: Given function is fx=cos4x To find the Maclaurin series for given function. Solution: Power series f...

Q: Given f'(x) = x²(x+2)(x-2)' find the x- coordinate of any relative max / min or Pl. lo noitoaltni lo...

A:

Q: Evaluate the integral.

A: Given integral is ∫1x21+x2dx

Q: 4. Evaluate lim [In(2+x)-In(1+2.x)] using Calculus 1 limit techniques. Show all steps to justify you...

A: To evaluate: limx→∞ln2+x-ln1+2x Solution: We know that, lna-lnb=lnab Therefore, limx→∞ln2+x-ln1+2x=l...

Q: The proper angle for a ladder is about 75' from the ground. Suppose you have a 8 foot ladder. How hi...

A: The proper angle for a ladder is about 75° from ground and ladder is of length 8 foot. We know that...

Q: 1. Determine if each series converges or diverges, you can use any of the tests discussed in class. ...

A: We have to check given series is convergent or divergent. We have given series ∑n=1∞-1nnn2+2 Let ∑n=...

Q: Let f(x)= x2 -3x + In x. Find the local maximum and minimum values of f by using the second derivati...

A: Since, we are given f(x)=x2-3x+ln x and our aim is to find the local maximum and minimum values of f...

Q: In x 5. Evaluate the indefinite integral.

A:

Q: 9. Evaluate et dx 1+e*

A: Consider the provided integral, ∫ex1+exdx Evaluate the provided integral. Apply the u-substitution m...

Q: Find all horizontal and vertical asymptotes of the function. Label which is which. x³ + 6.x² + 11x +...

A: Given: f(x)=x3+6x2+11x+6x3−x2−12x

Q: 2 -3 +21 -1 0 2 Find A in AT+ -1-3

A: Given:AT+52-1-3-1=2-3-10+2I Let the matrix A be,A=abcdAT=acbd So, acbd+52-1-3-1=2-3-10+2Ia+5c+2b-1d-...

Q: Find the function values sin2 3π/8

A: we have to find the value of the given trigonometric function. sin23π8

Q: Use the product, quotient, and chain rules to find the following derivatives (do not expand polynomi...

A: (a) The given function is fx=6x2-3x+1x2+xx3+5x2+7. Product Rule: ddxfxgx=fxddxgx+gxddxfx. Obtain the...

Q: 12 1. Evaluate > Hint: The denominator factors, so partial n2 + 8n + 7 n=0 fraction decomposition mi...

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.