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Q: 6x Determine the area of the region bounded by y = (x - 1)e³x² - Area = and y = 0 on the interval…

A:

Q: 347. Write an integral to express the area under the graph of y=e¹ between t = 0 and t = lnx, and…

A: formula for area is   ∫abf(t)dtgiven   y=et  from  t=0 to t=lnxwe know that  elnx=x∫etdt=et+c

Q: (i) If lim f(x) = 7, then f(x) must be continuous at x 2 x = 2. True False (ii) If lim_g(x) = x 3…

A: We need to find true or false.

Q: Find the volume generated by rotating about the x-axis the region bounded by the graph of the…

A: given that the region is bounded by the curves   y=4+x, x=4,x=8

Q: When Justine is 10, her grandparents begin placing a continuous stream of $1,500 per year into a…

A: at 10 , initial amount is  $1500  rate is 1.7%formula for continuse compounding is  A=PertA is final…

Q: 39 Find the value of c that satisfies Rolle's theorem for f(x) = 2x^4 -16x I 5. You are a…

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

Q: a. The points (3,-1,2) and (-1,3,-4) are the endpoints of a diameter of a sphere i. Determine the…

A: Please find the answer

Q: under the graph of f as a limit. Do not evaluate the limit. Visney sbiw squi to sqyi smise ein ist…

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Q: The altitude (height) of a triangle is increasing at a rate of 1 centimeters/minute while the area…

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Q: Given sine= and cose=15, which of the following can be proven using a Pythagorean identity? 17 8 1+…

A: we know that   sin(θ)=perpendicularhypotenusecos(θ)=basehypotenusegiven  sin(θ)=817 and cos(θ)=1517…

Q: (−3, −3, −4) = 6 5 2 √3' √√3 √3 --- . . .

A:

Q: mit equatio x²y' + 2xy + O with respect to x and solve for y'. Skip (you cannot come back) x²y + xy²…

A: Given query is to find the derivative.

Q: ;²(1) between 4 and 9. (37) Find the length of the curve = 21=

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Q: 2 2 Suppose f(x) dx = 7 and f g(x) dx = -5. -1 -1 2 Evaluate S (-2 f (x) - 3 g(x)) dx. -1 Remember…

A: given  ∫-12f(x)dx=7 ∫-12g(x)dx=-5∫-12(-2f(x)-3g(x))dx=-2∫-12f(x)dx-3∫-12g(x)dx

Q: 11. S(4+ √x) dx

A:

Q: Evaluate the definite integral using Part 1 of the Fundamental Theorem of Calculus. Remember to…

A: Given query is to find the integral.

Q: √x²y dx - xy² dy, where C is the circle x² + y² = 4 with counterclockwise orientation.

A: We will find the required.

Q: Evaluate the integral. x/2 [3 cos ti-2 sin 5t j+ sin² 5t k] dt 0

A:

Q: cos 0 12 0

A: In third quadrant cos is negative and cot is positive

Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

A:

Q: af Find and əx af dy f(x,y) = (x³-4) (3y + 2) af for the following function.

A: Given query is to find indicated derivative.

Q: Find Vf at the given point. 3 2 f(x,y,z) = x³ +y³ - 3z² + z lnx, (1,2,4) Vf|(1,2,4)=i++)k (Simplify…

A:

Q: Evaluate fa² tan³ (2³) da + C

A: To integrate the given  function.

Q: If <0 find Vx² + x. Check your answer by plugging If x < 0 find x¹2. Check your answer by plugging x…

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

Q: 6³ S 3s² +1 =ds

A:

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

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Q: A pair of parametric X = sec(t), equations is given. y = tan²(t), 0≤t< T 2

A: NOTE: Refresh your page if you can't see any equations. . the given domain is  the cartesian…

Q: 5. You are a professional race car driver and your car is moving on a straight track at a velocity…

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Q: ent value (exact value) dollars

A:

Q: Write the linear system associated with the matrix. The variables of the system are a and a, their…

A: GivenThe variables of the system are a and x and their coefficients appear in that order in the…

Q: Use the chain rule to find the derivative of the function z = x¹y³ - 3xy along the curve given by x…

A:

Q: Evaluate. (Be sure to check by differentiating!) √² (³-3) dr

A: Evaluate: ∫r2r3-34dr

Q: The sales of a new high-tech item (in thousands) are given by the following function, where t…

A:

Q: Show that F is a conservative vector field. Then find a function f such that F= Vf. 11) F(x,y) =…

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Q: Find the integral. dx 11 dx 喘口 11

A:

Q: 15. 17. 19. 21. 23. [x³e³ dx [*¹²0² sin 20 de 2 Pars Seº t sec¯¹ t dt e sin 0 de Sear e2x cos 3x dx…

A: DISCLAIMER:  Since you have asked multiple question, we will solve the first question for you. If…

Q: Below is the graph of y = x² + 5. 301 20- 10- -3 -2 -1 0 1 The area bounded by y = 2 3 4 5 22 +5 and…

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Q: Evaluate 4x³ sin² (x¹) dx + C

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Q: =function f(x) Find f'(x). x x+2

A:

Q: Which of the following is the simplified expression of 1- 1 sec O sin²0 O cos²e O tan²0 O sec²0 -…

A:

Q: (b) y'= sin 4x.

A: The objective is to find y.

Q: Consider the graph of f(x) and its tangent line at (Use a comma to separate answers as needed.) -5…

A:

Q: (43) Find the volume of the solid generated by revolving the region bounded by y = y = 0, x = 0, and…

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Q: Find the derivative of the function at Po in the direction of u. x-y 3xy +2' g(x,y)= Po(-1,1),…

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Q: No, because the difference between them is r 4. Given the sequence an (n+1), what is a 100

A:

Q: -5x² +18x + 2 x(x + 2)(2x + 1) Determine the correct partial fraction decomposition for the…

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Q: Find the indicated terms of the geometric sequence with the given descript The third term is -18 and…

A: Given query is to find indicated terms .

Q: (26) Let R be the region in Quadrant I enclosed by the graphs of y = 4x and y = x³. (a) Find the…

A:

Q: Someone invests a constant stream of $80 per year at a continuously compounding interest rate of…

A: Here, ft=$ 80               r=0.1%=0.1100=0.001              t=50 years.

Q: Find the integral. S₁ 5 5√√x4 X dx

A: