Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

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Q: Using the given geometric sequence find a7 3,0.3,0.03,0.003 a7____

A: topic- geometric sequence

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Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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A: As per our guideline, we supposed  to answer the only the first question  Given f(4)=e   and…

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Q: Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

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Q: If f'(x) = 2x³ + 3x² − 4x + 5 and f(0) = 1 and f'(0) = 2 find f.

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Q: Use the translations to graph the given function. Show all of the transformation on the same graph.…

A: We have to find transformation

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Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the zz-plane. 1. Find the center-radius form of…

A: Given that Parabola C : z-4 = -x-22                In this question, we sketch a graph of the…

Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

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A: Point of diminishing return is the point where d2Rdx2=0

Q: Use the transformation to graph the given function. Show all of the transformations on the same…

A: We have to translate the graph

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Q: 5. Find the vector equation of the line passing through A(4, -3) that is perpendicular to x - 3y + 6…

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Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (4x - 2) = 6 x-2…

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Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

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Q: 5.1 Let a eR, v = 4ai - 6j and w=a²i +3j. Determine all nonzero values a, if any, so that is…

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Q: XNN y= 2²/2+3

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Q: Complete the parametric equations of the line through the points (7,3,-5) and (0,6,1) x(t) = 7 - 7t…

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Q: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1

A: A detailed solution is given below.

Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny Live Love ex+y dxdy 0

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Q: nverse for the following functions. If it does not exist, show why. f(x)=2x-1 f(x)=√x-3 f(x) = |x-1|…

A: Topic:- calculus

Q: The radius of convergence for the series Select one: O 10 O 1 On/10 n=0 n²xn 10n is

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Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

Q: 2. A 6-ft tall man is walking away from a 15-ft post at a rate of 5 ft/sec in a straight line. How…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

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A: Let's solve for cost,revenue and profit function.

Q: (e) If f and g are differentiable then, d -f(g(x)) = f'(g(x))g'(x) dx True False

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Q: 2) Find the particular solution using the following indicated initial values. (D² +4D+5)y=10e³; when…

A: Given :D2+4D+5y=10e-3x

Q: Let y = =tan(4x + 6). Find the differential dy when x = 5 and da Find the differential dy when x = 5…

A: A detailed solution is given below.

Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: (2) Consider the function where a, b are constants. g(t) = if t 1

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Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: Q4- Solve the following differential equation: (1 + x²) dy + (y-tan-¹(x)) dx = 0

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Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

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Q: Pls help ASAP

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Q: Part One. Multiple Choice 1. Which of the following is not a true statement about limits? a) A limit…

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