a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplified factored form. b) Determine the values for which the graph of f(x) has a horizontal tangent

Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of a feet are a...

A:

Q: sec2 2X ton 2x ok At ton ?2x

A: Find the integral

Q: 22 z) dz Evaluate COS 32/65 e^(2z) cos(z/4) + 4/65 e(^2z) sin(z/4) + c 32/65 e^(2z) sin(z/4) + 4/65 ...

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (kn 6sin O abs...

A: Here, the given series is: ∑k=1∞6 sin kπ2 Let, ak=6 sin kπ2; k≥1

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. ...

A: Given query is to find the value of the expression.

Q: Evaluate the following problems. Show all necessary parts of the solutions. 1. The graph of g is giv...

A: Solution: A)A discontinuous graph has breaks or gaps on its curve From the given graph g is disconti...

Q: Consider the function f(x) = zX - 6A Let R be the region bounded by the curves 3 y = f(x) and y = 0 ...

A:

Q: a in togials Evaluate the tollowing ズ du

A: The given integral,                ∫0π41-uudu

Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

A:

Q: Determine whether the statement is true or false. If the statement is false, make the necessary chan...

A: Given: The inequality x - 4 > 0 is equivalent to x < 4. Now, x - 4 > 0 x > 4 So, The ine...

Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4. Th...

A: Topic:- function and derivatives   

Q: 1 – x2 + V1 – x2 In|(sqrt(1-x^2))-1|+c -In|(sqrt(1-x^2 ))+1|+c -In|(sqrt(1-x^2))-1|+c In|(sqrt(1-x^2...

A:

Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: Modeling a plane for takeoff. Using differential get the takeoff speed after 1 min. • (Airplane take...

A:

Q: 1. Given y = log, 256. The value of y= 4 ÷ 2. If log(x + 8) = 3, then the value of x is 1 3. If log,...

A:

Q: what is sin^-1(cos^-1((1))

A: Letcos-1(1)=x⇒1=cosx⇒cosx=1we know that ,cos0=1⇒x=0⇒cos-1(1)=0sin-1(cos-1(1))=sin-1(0)let sin-1(0)=y...

Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

A: Find your answer below 

Q: PART A) A hyperbola with vertices at (0,5)and (0,-5) passes through the point (11,6). Draw this hy...

A: Find your answer below 

Q: or the curve x²y²=9 at (1,3) find the equation of normal line

A: Given: x²y²=9 

Q: n! g) E п 3" n=0

A: There are multiple questions, as per company policy kindly ask other questions separately, ratio te...

Q: (=²+ 16) +c 483 V²+ 16 da. Vr? – 16 dz. - 74

A: ∫f(x)dx=F(x)+Cthenf(x)=F'(x)

Q: 3x3-3 Evaluate lim 4x3 – 5x +7

A:

Q: If an arrow is shot upward on Mars with a speed of 62 m/s, its height in meters t seconds later is g...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly, repost...

Q: 2 1 2 A = = | 3 -2 4 -3 -5]

A:

Q: 2. (x² – y²)³ = 3a*x? %3D

A: Differentiate both sides of the equation with respect to x.Then solve for the derivative of y with r...

Q: Complete

A: Please refer to the image below

Q: Determine whether g(x) is continuous on the following intervals. 1. (-5, -3) g(x) 2. (-3, -1) 3. (1,...

A: Given :   g(x) is a function that is :

Q: Evaluate | (3t +t?) sin(2t) dt 1/2 (3t+t^2) cos(2t)-1/4 (3+2t) sin(2t)+1/4 cos(2t)+c 1/2 (3t+t^2) si...

A:

Q: Solve : 33+8 = 92+8 x = -8 x = 24 x = 0 x = -24 O x = 16

A: Consider  33x+8=92x+8

Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 37 1. lim co...

A: Limits

Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

Q: 16. A curve whose slope at any point is 4x +1 passes through the point (-1,4). What is its equation?...

A:

Q: 1 dx (V[1 - (In(x))?) X

A:

Q: The sin*3udu is equal to 3 А. — и + 1 - sinбu 12 1 -sinбu + 12 1 -sinбu + 12 1 -sin12u + C 96 1 sin1...

A:

Q: Which of the following is an identity? sinBsecBcotB = sin²B/cos²B sinBsecBcotB = 1 sinBsecBcotB = c...

A: sinBsecBcotB  secB = 1/cosB  cotB = cosB/sinB  So now put all this value in given function  sinB(1/c...

Q: Find the derivative of f(z) = 3+ 2x² – 2y² + i4xy .

A: We find out the derivative of given function .we differentiate both sides with respect to z and take...

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A:

Q: f(x) = x2−4x+7  What are the steps to find this in standard form, finding the vertex, x and y inter...

A:

Q: ) Sketch the region of Integration and write an equivalent polar integral. Then evaluate the polar I...

A:

Q: Let A = and B = , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point ...

A:

Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: X+2

A:

Q: Find the slopes of the curve y =y? -x at the two points shown here. V3 The slope of the curve y = y2...

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 2x – x3 1. Evaluate dx. (x – 1)² (x² + 1) 2. Use the previous item to determine if the improper inte...

A:

Q: 4. f(t) = t5 e(1-t)

A: Given; ft=t5e1-t As we know from the properties of Laplace transform; 1). La·ft=a·Lft 2). Ltnft=-1nd...