The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x O sec² z | O2 csc 2x cot 2x none of the choices

Q: Perform the following integration. 1. (sinhæ)(coth? a+csch® a) dự sec³ x tan x 2. S dx √2 + sec x 3.…

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Q: solving the following differential equations (x + tany)dy=sin ey dx

A: On solving this we will get

Q: ㅠ [sin(y) sin sin (y) sin² (y) 1+ cos(y) dy KIN

A: We will use substitution method to integrate.

Q: determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T =…

A: As we know that the parametric equation of ellipse at a point acosθ,bsinθ  is given by…

Q: Find the coordinates of point C using the data given below. • Write your answer in this format : Y-X…

A: Concept: For the triangle ABC coordinates are       Y(m)             X(m)A    2784.57     3500.64B…

Q: True or False: Given a vector v, the vector -v will have an opposite magnitude. A True B False

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Q: 5. Use Cartesian coordinates to evaluate ㅋ yy dv where D is the tetrahedron in the first octant…

A: Let's evaluate given integral.

Q: 4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide…

A: We know that average  value of the function f(x) on [a,b,] is 1b-a∫abf(x)dx

Q: Find the y coordinate of the center of curvature of the parabola at (2,2). O -7 -6

A: In this question we have to find the y coordinate of the center of curvature of the parabola at (2,…

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0

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Q: -2 S₁² S₁² (²x²y^² + 2 (2x²y-² + 2y) dy dx 1 1

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Q: Answer

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Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: Find the average value of f(x) = -3√x + 5x over the interval [0, 3]. Submit an exact answer using…

A: This question can be solved using the concept of average value of function over an interval.

Q: Evaluate the expression under the given conditions. sin(0 + p); sin 0 = ₁ 0 in Quadrant I, cos p = -…

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Q: 2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 67. -20 -2-

A: f(g(0))=? f(g(2))=?

Q: 5x² S -dx 2. ex

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Q: Evaluate the following: 4 fsin 2xcos²2xdx

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Q: Evaluate the following limit, if it exists: lim x->1 = x2 + 4x - 5 / x-1

A: This question can be solved using the concept of limits.

Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2 y = 4…

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Q: What is the magnitude of a projection p = (7,3) on a = (-4, 2)

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Given that      Region R : 0≤x≤1 , 0≤y≤1-x2 , 0≤z≤4-x2+y2    Now, we take…

Q: cos³ 3x sin 3x dx

A:

Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)=pi/6. 1…

A: We use the concept of exact differential equations to find the general solution to given…

Q: The function g is continuous on the closed interval [1, 4] with g(1) = 5 and g(4) = 8. Of the…

A: This question can be solved using the concept of Mean Value Theorem.

Q: Evaluate St dx 0 √9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent,…

A: derivative

Q: 3. +∞ 8 -∞ dx x² + 1

A: Given ∫-∞∞dxx2+1To evaluate the integral:

Q: IV. Solve the following problems completely. 3 1. Use local linear approximation to estimate √(3.…

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: This is a problem related to properties of addition and multiplication. Based on the general formula…

Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

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Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

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Q: Evaluate the following integrals. 9x - 5 4. J dx 9x² 18x + 13

A: Given ∫9x-59x2-18x+13dx   Let  9x-5=αddx9x2-18x+13+β i.e.,    9x-5=α18x-18+β…

Q: •π 2 (sin³r)√1 (sin³ x)√1 + cos x dx

A: Given problem:-

Q: Evaluate the following limits. 1. lim 1 cosh x x+0+ ln(x² + 1) 2. lim (tanx) (sin x-1) x+7+

A: Let's solve for given limit.

Q: If the total cost function is given by TC = 300+5g+then the marginal cost function MC = Ⓒa. 5g + / 3…

A: We have to solve the given 2 question.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that  The Region bounded by the curves  y = 4 + sec(x) , y = 6 ,  -π3≤x≤π3  about y = 4…

Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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Q: a) Determine the magnitude of a vector perpendicular to both n1⇀ =(-3,1,0) n2⇀ =(1,5,2) b) Describe…

A: The given vectors aren1→=-3,1,0= -3 i+1 j+0 kn2→=1,5,2=1 i+5 j+2 k

Q: Given F(x) below, find F'(x). ovide your answer below: F'(x)= at attribution (x) = cos(x) (12-2) dr

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Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) 2--

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Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

Q: A manufacturing company is responsible for designing a can for diced tomatoes which will have a…

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: Use local linear approximation to estimate In (√0.99)

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Q: √2+x-√2-x X lim- --0

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Q: Find the derivative of the following functions. g(x)=(x²³-3x²+1) -9x(x-2) (x²-3x²+1)* g'(x)=-

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Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

A: I am going to solve the problem by using some simple calculus to get the required result of the…