● ftan(x) sec(x) dx

Q: What is the equation of the tangent line to the curve y=−5x^2+4x+7 at x=-1? Write the answer in…

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Q: 4. Identify the focus of A. (0,3) -(y - 3)² = (x-2). B. (4,3) C. (2,1) D. (2,5)

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Q: Consider the region bounded by x=4-y, the y-axis and the x-axis. 1 2 3 4 The volume of the solid…

A: Given:-

Q: S= dx 3+ sinx+cos X

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Q: Consider the integral (ln(x))6 dx:

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Q: Differentiate y = (2x³ + 3x² - 1)5 5(6x² +6x)4 30x(x+1)(2x³ + 3x² - 1)4 30x(x + 1)(2x³ + 3x²-1) O…

A: The given function y=2x3+3x2-15 we have to find the derivative of the function

Q: Find the interval of convergence for the power series (-1)". Σ(−1)* (* + 2)* 13 01-1,5) O-5,1] 0…

A: The objective of the question is determine the interval in which the given power series is…

Q: 1-y 2 Consider the plane : x - 2y + 3z - 1 = 0 and the line 1: x= 1. Find the point of intersection…

A: 1) Given: l: x=1−y2=z+1 Let ,  x=1−y2=z+1 = λ Any general point on the line l will be x=λ, y=1-2λ,…

Q: Typically, an inequality can have how many solutions? Multiple solutions One only solution…

A: An inequality is defined on a particular region.

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs x = 2 - y and x =…

A: The given curves are; x=2-y and x=4-y2 Now find the point of intersection between the given curves.…

Q: Evaluate the following limits if they exist: lim In (3x-1) 5+x x->-5 e a) b) x-lnx lim x-e* lnx-1 El

A: limx→-5ln3x-1e5+x

Q: I. Find the solution set of the following. 4. cos ¹(2x) + sin¯¹ √√1 − 4x² = π

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Q: The Maclaurin series of g(x) = sin(x) is Test question?

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Q: dy+y=x²y² X-

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Q: Suppose that h(x) = f(x) g(x) and that we know the following f'(3) = -1, g(3) = 2, & g'(3) = -5.…

A: Topic:- calculus

Q: 1-y 2 Consider the plane π : x - 2y + 3z − 1 = 0 and the line 1: x= 1. Find the point of…

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Q: Evaluate O O O O e e+1 2 e+1 In eftdz. S et +1 In e+1 2 1 2 1 2

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Q: A particle is moving with acceleration a(t) = 6t+ 6. its position at time t = 0 is s(0) = 11 and its…

A: GIven: a(t)=6t+6 s(0)=11 v(0)=9   We know that, the integral of acceleration with respect to time…

Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

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Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

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Q: 1. Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The centroid of R is: a.…

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Q: 8 1 4-x² 4 x¹ +4.x² dx

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Q: 2 y²dx + xydy = 0

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Q: What part of this graph is the solution area for a system of inequalities? The blue and red parts…

A: Let's find area of inequalities from given graph.

Q: Find the value of the given limit. lim I 0 tan(4x) I

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Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

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Q: 3. Find the domain of f(x) = 1- 1 X X

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Q: The marginal revenue from the sale of x cans of air freshener is given by 4.4 -0.32√x dollars per…

A: In here, the marginal revenue is given as a function of x. So, we will use the formula: Marginal…

Q: Solve p = So (S2₁ Aedx) e dy Evaluate p assuming A closest to your answer: = 2.0 and 8 = 3.0, and…

A: Answer must be option 3.

Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: Q2:A: Find the surface area of the cone y = h -√x² + z² where h is the height of the cone and a is…

A: Concept: The surface area of the cone: The total area that a cone's two surfaces, its circular base…

Q: Evaluate the definite integrals using the graph of ƒ (x) below. 6 (a) (b) (c) 3 f(x) dx = 5 [₂º f…

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Q: dz Find given: dt z = xe5%, z =t", y = -1+5t dz dt Your answer should only involve the variable t

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Q: 1. √ 2x log 2x dx

A: The objective of the question is evaluate the indefinite integral. Note -  As per our guidelines we…

Q: III. Consider the power series +∞ n(3x + 2)n n³ +4 n=1 -1. 1. Show that the series is absolutely…

A: Given power series is ∑n=1∞n(3x+2)nn3+4 When x=1, the series becomes…

Q: The base of a solid is the region in the xy-plane between the the lines y = x, y = 4x, x = 1 and x =…

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Q: An integral that gives the arc length is JO (Type exact answers.) dx.

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Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality? By using a…

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Q: 6. If a = 2, b = 2√√3,7 = 30°, solve for c and 3.

A: We know that cosine rule is c=a2+b2-2abcosγGiven data a=2, b=23 and γ=30c=22+(23)2-2*2*23*cos(30)…

Q: OC Find the derivative of the function y = dy dx dy 8 dx dy dx dy = - 8 x-4/5 ∞ 188 5 8 x-2/5 x 5²…

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Q: Find the sum 3n

A: Given: ∑n=1∞n2+n3n

Q: 7. A jar contains black and white marbles. Two marbles are chosen without replacement. The…

A: Solution is given below

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Which of the following is a type of inequality sign? > ≥ and ≤ < All of the answers are correct.

A: We know that, In mathematics, the relationship between two values that are not equal is defined by…

Q: Question 3 Evaluate O 1. O 1, O In 2 -S₁² ₂ In 2 2 ln 2 O2ln 2 - O2 ln 2-3 3 2 1 2 314 x ln x dx.

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function.…

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: What are the parametric equations of x - 2y + 3z - 1 = 0?

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Q: ) Consider the function f(x) = 4x² - 8x on the interval [0, 6]. Find the absolute ex- trema for the…

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Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

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