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: d (h) (cot ¹(2)) = d (i)=(sec ¹(1))= = d (j) (csc-¹(2)) = dr 1 du 1+² dz 1 du I√²-1 dz 1 du I√²-1 dr
A: Given problem:-
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A: Given data÷
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Q: II. Find dz Do not simplify your answers. 1. log,(√2x² + y) + tan(x − ³) = sin¹(x² - 1) +
A: We can solve this as follows:
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A: A vector perpendicular to A and B is : C = A x B
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A: Solution is given below:
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A: The given equation, 2k2-3k-10=0
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A: Here we have to find the arc length of the graph of r(t)=e√2ti+e-√2tj+2tk , 0<=t<=√2ln5.
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A: If w=f(x,y,z) and x =g(t),y=h(t) , z=u(t) then, dwdt =∂w∂x.dxdt+∂w∂y.dydt+∂w∂z.dzdt. Note : As…
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Q: 5-10 Find the area under the curve y = f(x) over the stated interval. 5. f(x) = x³; [2, 3] 7. f(x) =…
A: Area
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A: This question can be solved using the concept of integration by parts.
Q: Q2) Which of the following series is converge or diverge Σ{"} ,0.7777777777777 n=1 . Σ n=1 27
A: a)=∑n=1∞ n-1n2=∑n=1∞ 1n-1n2{using p-series test:∑n=1∞ 1np converges only when p>1diverges for…
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A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…
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A: Given function f(x)=1x2+1 we want find the equation of tangent at the point where x=1
Q: II. Find d Do not simplify your answers. 1. log,(√2x² + y) + tan(z* — x") = sin−¹(x² − 1) + ½
A: This question can be solved using the concept of differentiation of implicit function.
Q: Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4
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Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)
A: Solving the definite integral.
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Q: Question 13 > Determine the number and type of solutions for the equation 3x² + 30x+75-0 O Two…
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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: π/2 sin (cos() sin() dx (Consider initially the first 2 terms)
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Q: Given: : Saxasin(2x)dx = - ㅠ (A) 3 Зп B 4 c D E 2 3 4 277²-24 64 5T Find bif sbst
A: Let's find.
Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…
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Q: P(2,-3,4), Q(4,4,5), T(1,2,7) forms a triangle. find the vector projection of QP parallel on QT.
A: Proj. of QP→ on QT→ = QP→·QT→QT→WhereQP→ = Q-PQT→ = Q-T --------------------------------------------…
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A: Given that the four options To find choose the correct option which is satisfi IBP formula
Q: ||r'(t) x r"(t)|| 3 ||r' (t)||³ r(t) = t²i+t¹³j Use the formula k(t): = k(t) = = to find k(t).
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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x - 1+1/2/3 1. lim x-1 2x²…
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Q: Question 6 The IBP formula fudv=uv - fvdu can also be written as fudv+fvdu = uv Which of the…
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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: Find polar equation for the Cartesian equation 13y = 8x. a. theta = 1.02 c. theta = 0.55 d. r = 0.55…
A: Substitute x=rcosθ and y=rsinθ in 13y=8x. 13rsinθ=8rcosθ 13sinθ = 8cosθ
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Q: dy II. Find Do not simplify your answers. . dx 2. y= tan-¹(cosh.r) (sin²r) (sech r)secr [use…
A: Given y=tan-1( cosh x)( sin2 x ) (sech x)secx
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Q: Identify the surface in the xyz coordinate system given by the equation: z=-√(4-y^2) O cylinder O…
A: Let's find.
Q: 2. (D² + 3D + 2)y= 1+ 3x + x²
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Q: d Calculater₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…
A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…
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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√x-1 1. lim 4. lim 5 3x - 4 2.…
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Q: -π/4 x3 dx (x²+4)5/2 (Use trigonometric substitution)
A: We have to solve above question useing trigonometry substitution
Q: Find F'(x). 1. F(x) = √x+² (4t + 1)dt 2. F(x) = f*t³dt SOLUTION IN HANDWRITTEN
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Q: Question 7 Consider the Quadratic function f(x) = 9x² 4. Its vertex is ( Its largest z-intercept is…
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Q: -2/√√/3 dx x√√x²-1 • [²/²2 (x + 12/²3). dx sin² π/6 28. • √2 30.
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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…
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Q: c. The region R enclosed by the curves y = x and y = x² is rotated about the line y = 2. Find the…
A: Using disc method, volume of solid is evaluated.
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