If the distance of an object is given by d(t) cannot be determined. O constant. O increasing. decreasing. 3t36t, then at t = 2, the object's velocity is

Q: Factor the polynomial (x − 3)(x + 6)² – (x − 3)²(x + 6). Your answer can be written as A(x + B)(x +…

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Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

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Q: If the profit function for a firm is given by P(x) = -1600 + 170x-x² and limitations on space…

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Q: S sinxdx 7+ cos²x

A: integration ∫sinx7+cos2xdx

Q: Find the average value gave of the function g on the given interval. g(t) = 2 1 + t²' [0, 9]

A: Given ,           g(t)=21+t2we have to find average value of the function g on the interval 0,9The…

Q: (ln(t))4 dt t

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. " U= dv=dx…

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Q: Integrate by partial fractions: x² - 4x + 4 r(r - 1)³ -dx

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Q: Part 4 Use the table function of a graphing utility to create a table for the function and use the…

A: Given :- (4) limx→1x-1x2+2x-3               (5) limx→-32x2+4x+1

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your…

A: We have given a table that shows the national expenditures for health care in the United States for…

Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 10 2 dt √ 4 + t²

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Q: Given below are descriptions of two lines. Line 1: Goes through (3, 29) and (−3, −25) Line 2: Goes…

A: We know that the slope formula between two point (a,b) and (c,d) is  Slope (m)=(d-b)/(c-a)

Q: 3 What is f S₂² 1+1/2² dx ?

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Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: a) -dox ; b) 2: sin xdx; e² 4+9e²

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: 4 (3x² – √x) dx

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Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: a = (-2,4), b = (-1,2), what's the projection of a on b?

A: We know that the formula projection of A on B is  (A.B)/|B|

Q: Select the basic integration formula you can use to find the indefinite integral. S (8cos(12x))…

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Q: Use the Binomial Theorem to expand and simplify the expression. (2-3x) 3 2 -27x + 54x 18x + 8 -27x³…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A: Let fx, y, z=5x3-y3+z2. To find the maximum value M for the directional  derivative at the point 1,…

Q: Compute the integral f/4 tan² (x) dx.

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Q: 33. f(x) = X 2 x2 - 1

A: As per guidelines we support only three subparts of the questions.kindly repost next questions

Q: Use partial fractions to find the area of the given region. 7 16x² y = y 3

A: Now area of the region f(x) from a to b formula Area=int_a^b f(x) dx

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

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Q: Sx.cos5(x²)dx

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Q: What is S₂²1² dx ? 2 1+3x² (tan¯¹ (3√√/3) — tan¯¹ (2√√/3)) ·(tan¯¹ (3) — tan−¹(2)) tan¯¹ (3√√/3) —…

A: We have to find the proper integral.

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: The owner of a skating rink rents the rink for parties at $360 if 30 or fewer skaters attend. For…

A: Solving the problem

Q: If t(x) is a linear function, where t(-1) = −1, and t(3) = 4, determine the slope-intercept equation…

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Q: True or False a) If the second derivative = 0 at x = a, then you will have an inflection point at…

A: We have statements: a) If the second derivative = 0 at x = a, then you will have an inflection point…

Q: Subject :- Finance    Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: Part a) Use the steps demonstrated in this module to find an equation for the logarithmic function…

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Q: The number of points of inflection of f(x) = at is 03 02 01 0

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Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: Given below are descriptions of two lines. Line 1: Goes through (-4,10) and (0,4) Line 2: Goes…

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Q: Consider the function: Which of the following is a partial derivative of this function? x* - Bxy + z…

A: The given function is:f(x, y)=3xye8x2-8xy+12y2

Q: A-1²3 5. Find the determinants of A= 1 1-6 B -1 4 4 Is det|A| = -det|B|? 5 -1

A: The matrices are A = 21-1-14451-1B = 2-11-1445-11 To determine: The value of determinants of A and…

Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

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Q: For an object whose velocity is given by v(t) = 3-t, what is its displacement on the interval t = 0…

A: Given that v(t) = 3-t and interval is t=0 and t=4. We find displacement of this object.

Q: Find the partial derivatives gæ, gy and 9% for the function g(x, y, z) = xy + x² z − yz³

A: Given :- The function gx,y,z=xy+x2z-yz3 To find :- The Partial derivatives

Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

A: A=P1+rnnt⇒A=Amount at time t⇒n=compounded period⇒r=rate of interest⇒t=time in years⇒P=initial amount

Q: For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

A: A differential equation y'=f(x,y) represents the slope field of the curve y. at a point x0,y0 The…