9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give your answer in the form y=mx+b.

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A: We are given f(x) = log3(x+1)  We have to find  Values of f(x) for following values of x without…

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A:

Q: sector of a circle has a diameter of 18 ft and an angle of pi/2 radians. Find the area of the…

A: We have to find area

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A:

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Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

A:

Q: Solve - cos2 - sin²x = 1 on the interval 0 < x < 2T. O 3π 2' 2 O no solution O 0, T O 0, T, 2T

A: The given equation,    -cos2x-sin2x=1 on the interval 0≤x≤2π

Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

A:

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Q: 7- Find fx³√3 - 2x² dx

A:

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Q: Find Hence evaluate d dr 1 Š S ₁ (1 +2²2)³/26 0 -1 1+x², dx.

A:

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A:

Q: 21. Jo 0 dx (x + 1)(x² + 1)

A:

Q: 4. Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the…

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Q: List the first five terms of the sequence. - 1. a₁ = 2, a₂ = 1, an+1 = an an-1

A:

Q: Consider - 9 dx. Using rationalizing substitution, we let z = √√e*-9. √√e²-96 What will be the form…

A: The integration of the integral is √(ex-9).

Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: 1 S √4x²-9 Ocosh-¹+C -1 -1 Osin ¹+C Osinh¹+C O None of the choices Ocos ¹+C -1 dx

A:

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

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A:

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A: For square root function to be defined the term in the square root should be positive

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

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A:

Q: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

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A:

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A: The line passing through the point (1, 0, 9) and perpendicular to the plane x + 4y + z = 5

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A:

Q: What is the vector that results from transforming a by the transformation matrix? 5 ā= [ and B= -3…

A: The transformed vector can be obtained by multiplying matrix B with a→.

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 47

A: I am attaching image so that you understand each and every step. Answer is 227π512 square unit

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A: To approximate the value of given integral using left endpoint approximation.

Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: Step 1 of 2: Determine the intervals on which the function is concave upward and concave downward.…

A: We need to determine interval of concavity.

Q: Find f'(-2) if f(x) = 3 -7x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A:

Q: Use your calculator to determine how many solutions each system has. Then without a calculator,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

A:

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Given query is to find where f is increasing and decreasing.

Q: Stan5 xsec³x dx Osecx+secx+sec³r+C Osecx-secr+sec³r+C sec' x-secr+sec³r+C O None of the choices…

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Q: Determine the equation of the ellipse with center (7, 1), a focus at (2, 1), and a vertex at (-6,…

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Q: Find area inside 3 - 3 cos 0 and outside r = 3 Ⓡ

A: Consider the figure below :

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

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Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

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A:

Q: y = 2 sin (20+ 4π 3 ^

A: Given query is to find phase shift.

Q: In 23 In y SS 10 Evaluate the integral The value is. (Type an exact answer.) ₂x+y dx dy.

A: The given integral,     ∫0ln 23∫0ln yex+ydx dy

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A: The area bounded by the line x+2y=2, and the x and y axis, revolving about x-axis

Q: Suppose that f(x, y) = y√√³+1 on the domain D = {(1, y) | 0 ≤ y ≤z≤ 4}. Q Then the double integral…

A: NOTE: Refresh your page if you can't see any equations. . here we have