x Inx - y Iny

Q: Find the area of the shaded region. f(x) = -x³ + x² + 16x 3) g(x) = 4x (-3,-12) 30+ 20 10- -20- -30-…

A: Given curves equations:- fx=-x3+x2+16x , gx=4x

Q: The position function of a moving particle is given by p(t) = 1² - 15t +49 feet at t seconds. Find…

A: given potion function is p(t)=t2-15t+49t is in seconds given partical speed is 5 ftsformula for…

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

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Q: Evaluate the limit: -8x - 8 x² - 1 lim x→-1

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z =…

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Q: Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to…

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Q: The base of a solid is the region in the xy-plane bounded by the lines x = a and x = b, the graph of…

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Q: Evaluate the limit: lim 8t¹ - 3t = t→ 2

A: let  W=limt→2 ( 8t4-3t)for finding limit put t=2

Q: Implicit

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Q: Sketch the region in the first quadrant enclosed by y = 2/x, y = 3x, and y=x. Decide whether to…

A: Given :

Q: Prove the statement using the , & definition of a limit. x2 - 2x 8 = 6 X-4 lim Given & > 0, we need…

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Q: Use y = log(x + H) where H is a positive constant to answer the questions below. (a) If we increase…

A: Use y = log(x + H) where H is a positive constant to answer the questions below.   (a) If we…

Q: Disposable income is the amount left after taxes have been paid and is one measure of the health of…

A: Let a quadratic function y( x ) = ax2 + bx + cwhere a , b , c are the constants

Q: Describe the transformations from the parent function, then graph: f(x) = -√√x+5+2 Endpoint: Domain:…

A: Given: f(x)=-x+5+2

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: Initial…

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Q: -3x - 8 if x 2 (a) Compute g(-5), g(-3), g(0) and g(3). (b) Sketch the graph of the function g(x).…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Consider the following function. f(t) = t² (a) Find the relative rate of change. X १ (b) Evaluate…

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Q: An initial investment of 3,000 dollars accrues interest at rate 15% annually (compounded). At the…

A: Principal Amount= 3000 dollars Interest rate:- 15% annually. Type of interest:- Compound.

Q: Find the area of the region enclosed by the graphs of y = e*, y = ex, and y = 7. (Use symbolic…

A: Given: y=ex, y=e-x and y=7

Q: #13 - 17 Given the parent function and a description of the transformation, write the equation of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ) lim 818 5) lim 7x³+3r²-11a √64x9 x+8 √16x² +1

A: we will find the required.

Q: K Find the indicated quantities for f(x) = 2x² (A) The slope of the secant line through the points…

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Q: Find the distance from the point (-2, -2, 2) to the plane 3x−5y+5z=9.

A: given point is  (-2,-2,2)  plane is  3x-5y+5z=9standard form of plane is  ax0+by0+cz0+d=0formula for…

Q: int (7)/((x+a)(x+b))dx  Evaluate the integral. (Assume  a ≠ b.  Remember to use absolute values…

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Q: Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she…

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Q: The position of an object moving along a line is given by the function s(t)= - 3t² + 30t. Find the…

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Q: Find the angle between the vectors u = 6i - 4j and v = 5i + 4j + 2k. The angle between the vectors…

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Q: -iangle RST, side r measures 88 mm; angle S is 37° and angle T is 107°; find side T. Draw the…

A: Given query is to find the Indicated side.

Q: find the parameter of 2^x-2

A: Given find the parameter of 2x - 2

Q: Question 1 Let g(t) be the population (in thousands of people) of Calculus City, as a function the…

A: Given g( t ) be the population t = time t = 0 corresponds to 2020 In 2020 , the population was 10000…

Q: Write the equation in the form (x-h)²+(y-k)²=c. Then, if the equation represents a circle, identify…

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Q: nction continuous. 65. f(x)= find the value of the 66. f(x)= - C for x < 5 4x+2c for x ≥5 2x +9x-1…

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Q: Use the graphs to evaluate the expressions below. 6 5 4 3 2 1 -1 -1 f(x) 2 3 x 4 5 6-1 6 5 3 2 7 -1…

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Q: The equation r(t) = (4t+9) i+ (5t² − 1) j + (3t) k is the position of a particle in space at time t.…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find each of the following limits. lim e-4t t-0 t² lim t-o sin²(t) lim tan(5t) t→0 Find the limit of…

A: Given that a limit problem and we solve this proble by using general property of limit.       Here i…

Q: Find the volume of the solid generated by revolving the region about the given line. 2 The region in…

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Q: Show that f is continuous on (-∞0, ∞0). (1-x² (In(x) On the interval (-∞, 1), f is a root On the…

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Q: Find the rectangular coordinates of the point whose spherical coordinates are giv (a) (3, 3π/2, 0)…

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Q: Let P=(1,2,3), N=, obtain the symmetric equation of the line that passes through point P and has the…

A: Topic - Equation of a line We are given that a line passe sthrough P=(1,2,3)and direction vector is…

Q: یک - 1 R dy dx 2493

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate the integral by making the appropriate substitution: u = 25 [ 2² (2³ – 3) ³dz = [ 25 [x²…

A: To solve the given integral.

Q: DITT # 8-6-4-2 8- -4 2. H 9 H 68. H

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Q: 2 -3 -2 2 -4 4 10 2

A: Number of columns in first matrix are 3 and number of rows in second matrix is 1. So, matrix…

Q: The base of the solid is a square, one of whose sides is the interval [0, 2] along the the x-axis.…

A: volume = length×width×height given  f(x)=5x2given base of solid is square and one of whose side is…

Q: 20. f(x) = √36x² +7 9x² +4

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Q: Find the volume of the following solids. The base of a solid is the region between the curve y =…

A: Given:the base of the solid is the region between the curve y=2sinx and theinterval 0,π.

Q: Consider the position function s(t) = 7 sint that describes a block bouncing vertically on a spring.…

A: Given position function s( t ) = 7sin( t )Average velocity ( Vavg ) = ∆s∆t

Q: For the demand function D(p), complete the following. D(p) = 6000e-0.04p (a) Find the elasticity of…

A: Given demand Function D( p ) = 6000e-0.04p

Q: A particle is traveling on a curve in outer space in such a way that its = 2, however, position at…

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Q: Let sin = O O 4√2 9 97-9 27 2√2 3 where 0 << 90°. Find the exact value of the expression sin (20).…

A: A detailed solution is given below.