B2/for the figure below find. (a) Total shaded Area : * Y 3 cm y3kx2 8 cm 7 cm 6 cm

Q: A. How do you define Differentiation? B. Explain the principle of derivative with a given function, ...

A: Differentiation 

Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a separat...

Q: The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of ce...

A:  decay constant k=ln2half life

Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

A: Use the given table for finding the value of function 

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes thr...

A:

Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

A:

Q: 4. -[lp A~ q) A r] = ¬p V q V ¬r 5. -[p → (¬q)] = p A q 6. (p → r) A (q → r) = (p V q) → r

A:

Q: The following questions are intended to help you practice converting the Left Side of the differenti...

A: Given that: y''-2y'-15y=5x2

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Given problem:- Use the method of cylindrical shells to find the volume generated by rotating the re...

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your compl...

A:

Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing y...

A: Follow the procedure given below.

Q: Find all the values of a such that the given series would converge. (7x)" n5 n=1 The series is conve...

A:

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x– y d...

A:

Q: 6 3x° sin Evaluate: lim

A:

Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

A:

Q: if x < 0 if 0 < x < 1 -x² + 4x – 2 if 1 < x < 3 . Find lim f (x). if x 2 3 Given: f(x) = • %3D x-3 4...

A:

Q: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 2 15 4 2 15 (Si...

A:

Q: Q1 (а) Calculate the first-order differential equation below using transformation y = xv. dy х +3у%3...

A:

Q: The slope of curve is given as (2x + b+) and has a value of 17 at x = 2. What is the value 16 of y w...

A: Topic = Integration

Q: V(x) = In(sin(x) – cot(x))

A: Use the formula of derivative of composition of functions

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

A:

Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A:

Q: Forms of Summation Notation 5. Sum of the squares of the variables: Ex = x,² +x,' +..+x,² i=1 Exampl...

A:

Q: Find the values of c that make f continuous everywhere: x? – c2 if x 8 smaller c = larger c = Use a...

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Q: Some integrals might seem complicated. But they will simplify significantly if them in the right way...

A: Given that Fθ=∫cos3θ+sin2θ-3cosθsin3θ+3cos2θ+2sinθ-3dθ Evaluate the given integral

Q: A tree on a hillside casts a shadow c = 230 ft down the hill. If the angle of inclination of the hil...

A:

Q: Determine if the given function is continuous on each of the given intervals. Show complete solution...

A: Given function f(x)=3x3+4x2-x+6

Q: 1.Find f'(x) using the limit definition of f'(x)= lim (x+h)- f(x) for the following function: f(x) =...

A:

Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 50 and 120 a) The ...

A:

Q: Forms of Summation Notation 7. Sum of the product of a variable: E(x; y;)= x1 Y1 +X2 •Y2 +...+x, •Yn...

A: We have to determine the sum of product

Q: Find the Interior angles of the triangle whose vertices are (-1, -3, -4), (4, -2, -7) and (2, 3, -8)...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic = Volume

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

A:

Q: Given the differential equation y" - 3y' = 4x e-3x The combined set of Differential Operators for th...

A:

Q: Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a fun...

A: Consider the set 5,-6,2. The function is f:X→X and the relation is u~w⇔w=fu.   a) The relation is re...

Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

A:

Q: 5. f(x) = Vx2 + 3x + 6; f'(2)

A: Given: fx=x2+3x+6 To find: f'(2)

Q: In Exercises 47–54, find the reference angle 0'. Sketch 0 in standard position and label 0'. 48. 0 =...

A: Given that: 48. θ=309°50. θ=-215°

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A:

Q: Which of the following statement/s is/are true about the function whose graph is shown below? A. lim...

A:

Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

Q: Solving by variation of parameters 4y" 4y'- 8y 8e-*, we find that: O u_1=(-2/9) e^(-3x)and u_2=-(2/3...

A: Auxiliary equation and variations parameters

Q: 4. A certain computer algorithm used to solve very complicated differential equations uses an iterat...

A: