● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

Q: II. Find 2. y = Do not simplify your answers. dx tan ¹(cosha) (sin² x)(secha)secz [use logarithmic…

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Q: Select the conic section represented by the equation. x 2 +y 2 + 6x - 4y - 12 = 0. circle point…

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Range -8 ≤ y ≤ 2 -7 ≤ y ≤ 3 -2 ≤…

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Q: b) Find the mixed partial derivative at the point (1, 2). g(x, y) = sin(x) In (2y) + y ln(x) + 2xe³x…

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Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: Find Do not simplify your answers. dy da 1. log;(√2x² + y) + tan(x² − 7") = sin¯'¹(x² − 1) + ½

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Q: (measured counter- 1. A circle with radius 2 is centered at the origin (0,0). For an angle clockwise…

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Q: Y 4- y = f'(x) 3 -3 -1 (1,0) 2 3 -4 (-3,0) W (0,-0.5) (2,-0.5) (3,-2) -1,-2) -3- (-1,-3) (4, -3) 2 I

A: Observe the graph and answer the question.  Concept:  h'(x) = 0  : h(x) has local maxima Or minima…

Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…

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Q: Question 5 A) O B) 48 32 D) 96 If f cos+2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A,…

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

Q: limx→1 (x − 1) tan(x³ − x) - (x+1) sin²(2x - 2)

A: limx→1(x-1)tan(x3-x)(x+1) sin2(2x-2)=limx→1tan(x3-x)(x+1)×(x-1)sin2(2x-2)using propertylimx→af(x).…

Q: 33. (a) L²₁ let - 11 dx r3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x,y) = 3x-2y. R÷ the circle x² + y² = 1

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Q: Given: (1+2x) ex dx. Using integration by parts and letting u = − 1 − 2x, dv = f(x)dx, then the…

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Q: 15x² x3-43x - 19 - (x + 1)²(x² - 6x +13) Ax + B S ax²+bx+c The integral What is the value of dx can…

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Q: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

A: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

Q: 27 If (2x 3) [133] [3] 3] -3 23 1. 2 13 2 2 3. 13 2 23 2 - 0, then the value of x is

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Q: Find the area of the region bounded by y = 4x + 9, y = -6x + 9 and x = 14. Leave your answer correct…

A: Area of region bounded by given curves are evaluated.

Q: 2. lim (√²-x-√x² + x)

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Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: Integrating 1. y' + y = x+ Factor by Linear Equations:

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Q: trigonometric substitution, what is f √x²-9 x3 sec ¹(-₁)-² + C √x²_9 2x² sec 6 ¹(-)- √x²_9 2.x² + C…

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Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

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Q: B f(x)da as positive, negative or zero? Note two vertical lines indicate a Is Area = and B. Select a…

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Q: orrect. a k(t) ||r' (t) × r"(t)|| ||r' (t)||³ = r(t) = e¹0ti + e-tj tc

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Q: Sπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

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Q: x²+x+1 so Ja 2x²+2+x²+x dx dx = [Aƒ (x) – B ln(g(x))] à + D fb +2 and if A=,B<0, then g(x) = .

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Q: V. Given: -2, if x ≤2 f(x)-[2x-5]. if 2 3 1. Determine if f is continuous or discontinuous at z=2…

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Q: Please solve the problem with complete solution. Thank you

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²)…

A: As L'Hospital's rule is not to use so I have used the expansion of sin and tan function and easily…

Q: Evaluate the following limit using L'Hospital's rule. lim (e⁹x x⇒0+ 6x) ( ) +

A: Using LHospital Rule , limit is evaluated.

Q: Calculateri(t) r2(t)] and r₁(t) x r2(t)] first by differentiating dt the product directly and then…

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Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

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

Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

Q: our answers.

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Q: ://v². dx √1-x² dx √√2. x√x²-1 (ª (¹² - 31/₁) dr (1. 25. 27. 29.

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Q: Consider the following. u = (-3, 3, 5) v = (0, 1, 6) Find u x v. Determine if u x v is orthogonal to…

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Q: V. Given: 2. Find f'(2), if it exists. el3z-61-2, f(x)=[2x - 5], √x²-9, if x ≤2 if 2 3

A: Solution is given below:

Q: b √x³sin(2x) dx = 2π 3 플 FIM 27π²-24 64 Find bif sb

A: Solution of the problem as follows

Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: Determine the values of r for which the differential equation y' +9y = 0 has solutions of the form y…

A: Given differential equation.

Q: The IBP formula fudv-uv- - fvdu can also be written as fudv + ſ vdu = uv Which of the following…

A: Given that the four options  To find choose the correct option which is satisfi IBP formula

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: пр 4. STIS df x²s 5. Evaluat

A: I=∫0π3  x2 sin3x dxIntegration by parts;u=x2, v=sin 3xI=x2∫sin3x dx-∫(2x ∫sin3x dx)  dxI=-x2…

Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x-3) tan(9-x²) 3. lim x-3…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed |2x - 1| tan-¹(¹) 2x - 1 . lim…

A: LetL=limx→ 0-2x-1tan-11x2x-12x-1 is negative when x→ 0-.  Therefore 2x-1=-(2x-1)L=limx→…

Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…