Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

Q: Evaluate the following integrals: 3 tan°x dx 1.

A: We have to evaluate the integral ∫tan3x dx.

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

A: We have to find the equation of the tangent plane.

Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

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Q: 6 3 х+7

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Q: Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of…

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Q: y= (x-p)(x-r) and p+r=2. Find the x coordinate of the vertex of the parabola. O a. -1 O b. None O c.…

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Q: Use the formula k(t) = r(t) × r"(t)|| ||r(t)||° to find k(t). r(t) = 7 cos(8t)i+7 sin(8t)j + tk K(t)…

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Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: 9. xInx dx

A: Here , we have given a indefinite integral in which two functions are given now we will solve this…

Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

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Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: Using the identity sin? 0 + cos² 0 = 1, find the value of tan 0, to the nearest 2 hundredth, if sin…

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Q: Which values are solutions to the equation on the interval (0, 2m)? Select all correct answers. 12…

A: The given equation,     12sin2x+4sinx-1=0

Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

Q: Drection: Evalate /(2) fr the gien functons. a. -2 b. -6 d. 2 4 f)=P-4 a. 3 b. 6 c. 12 d. 2

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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: Find the measure of the angle z. Round to the nearest tenth of a degree. 21 12 8.

A: Given:     Triangle is given

Q: Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute…

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Q: Consider the following curve. y = x, 0sxs 3 Set up an integral in terms of x that can be used to…

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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: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

Q: Use the trapezoidal rule of integration to determine the value of the following integrals (a) (b) 2…

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Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

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Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: The given function,  g(t)=3t5-20t4+30t3+80

Q: What would be the shape of the graph r = 2 cos 0, given that 0 = 0, 7 , 5, 5? O semi-circle in the…

A: We know cosθ takes positive values in first quadrant that is for 0&lt;=θ&lt;=π/2 The equation…

Q: y=x, 4x +y“ = 12

A: The region is bounded by the curves,    y=x, 4x+y2=12

Q: In a triangle, assume angle A is opposite side a, angle B is opposite side b, and angle C is…

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Q: ) = (";')-G".) Show that: r-1,

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: 1-coskx 2. lim kx = 0.

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

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: Y= 3xé

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

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: We have to find the critical and extremum points of the function.

Q: 1. Find the angle between the following two vectors. and

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: total card = 52 A = card is black face = 6  B = card is black = 26 P(A) = 6/52 = 3/26 P(B) = 26/52 =…

Q: Find the vector PQ × PR if P = (2, 1,0), О %3D (1,5, 2), R = (-1, 13,6) (Give your answer using…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: dx J (x² + 2x – 10)²

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Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

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Q: h(x)=x³ – 4x² – 9x+7, h(2)

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Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 &amp; x=14 To find Area: