sech (Insinx) cotxdx=2tan-(sinx) +C A True B) False

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

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Q: A Ferris wheel has a radius of 30 m, makes a full rotation in 3 minutes, and the axle stands 35 m…

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Q: Find and classify the critical points of f(r, y) =r³ - 6ry + y³. %3D

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Q: Determine if the following series is convergent or divergent: V2n3 + 3n 4n +3 O Convergent O…

A: To find out that the series is convergent or Divergent.

Q: Question 13 sin2x cos3x dx = sinSxdx - sinxdx A) True B False

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Q: Find the critical points of the following function. 1 Inx f(x) =

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

Q: B C a A b Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. %3D Find an exact…

A: Given : a=10 and b=7.

Q: 3. .

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Q: 19 Convert the Cartesian equation x - 5 = 0 to a polar equation. r = 5cscθ r = 5cosθ r = 5secθ

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Q: is 2/x – Sin|/x+s| +C. Vi+s The antiderivativeof A) True B) False

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Q: 5) = -?². (*+). Suppose that cos (x) = and cos (x + Find the value of sin (x + Make use of the…

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Q: If  ?⃗×?⃗ = ⟨−3,5,−4⟩ and ?⃗⋅?⃗ = 4, find tan(?), where ? is the angle between ?⃗ and ?⃗.

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Q: Evaluate: J 1+sinx -dx

A: To evaluate the given integral.

Q: (sint – cos t)? =1- sin (2t)

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Q: | (3y + e?v=) dx + (4x + 4 cos (y°)) dy. Use Green's Thoerem to evaluate the line integral x² and x…

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Q: Describe the transformation of g (x) = 2f (2x +1)-1. O a) A vertical stretch by a factor of 2, a…

A: The transformation of function f(x): f (x) + b shifts the function b units upward. f (x) − b shifts…

Q: If line t is parallel to the line 5x-6y+10=0, What is the slope of line t? O a. 5 Оb. 5/6 О с. 6/5 O…

A: Slope of parallel lines are same

Q: Determine whether the series converges, and if so find its sum. 2k+3 5k+1 k=1

A: answer is in step 2

Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx)2

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Q: On Melissa's 6th birthday, she gets a $4000 CD that earns 3% interest, compounded semiannually. If…

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Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

Q: B C a A Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. Find an exact value or…

A: Follow next step

Q: / [cosh²(2x²) – sinh?( 21²) ]dx is equal to A B dx c) None D x²dx E xdx

A: Let's find.

Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

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Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: |に1寸に! Question 8 (x-2) Which of the following is/are true about the function g if g(x) 9-x+2 1. g…

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Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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Q: dx X- eX -1

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Q: Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use…

A: Given:      f(x,y) = √ (155 - 2x2 - 5y2 )     Point : ( 5 , 4 )  Now     Linear approximation f (…

Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

A: We have to construct  the integral to find the region bounded by given curves.

Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: We have to find the concentration at given time t.

Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = 7x+1,…

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Q: Knowin that "first image" is iqual to zero for any natural number 0<= m < n .   Determine the sum…

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Q: 3. lim f(x) = x³ - 1 %3D X 1 х-1 X approaches 1 from the left- -x approaches 1 from the right 1.001…

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Q: Find the Taylor series generated by (a) f (x) = 2x at x =1 ( b ) f (x) = 2x3 + x2 +3x-8 at x =1

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Q: Find the principle solution of sec(4z) = 2. If there is a distinct solution from the other half of…

A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

Q: For f(x,y)=2(2x2+y3)4: (a) Determine fx(x,y) . Answer: 32 (2x ? +y)²(12x + 2x² + y³) (b) Determine…

A: Given problem :-

Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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Q: „Insec2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A None B…

A: See the answer below

Q: 29,4 15.4 82.6 A graph of f is shown above. The numbers shown represent the geometric area of each…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: