5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

Q: By total differentiation, determine or find the approx. change in the length of the hypotenuse of a…

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Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

A: We have to explain given statement.

Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

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Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: The volume of a cantaloupe is approximated by V=za. The radius is growing at the rate of 0.8…

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Q: 1. JC y = f(x) is transformed to g(x) = 3 f (2x – 6) + 9. The domain and the range of each function…

A: Solving

Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y

Q: I. Evaluate the following integrals by substitution. Show your complete solution 1. S (3x + 5)12dx…

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Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: 6. The partial graph of g(x) is shown below. (x)8 76 5-4-3-2 -1 23 4 5 -2 |-6 and the point A' (-1,…

A: The partial graph of g(x) is given.  It is also given that, g(x)=-2f14x-6 and the point A'(-1 , 4)…

Q: Select the conic section represented by the equation. 4x 2 + 3 y 2 - 2 = 0 parabola point ellipse…

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Q: Given the series E Vn9 +1 Vn9 1. n=1 Explain why the limit comparison test is applicable to check…

A: Using limit comparision and p test.

Q: A 42 cm piece of string whose length is given below is cut into two pieces. One piece is used to…

A: Here we have, A 42 cm piece of string whose length is given below is cut into two pieces. One piece…

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: n 2 (4k – 2) = k=1

A: Recall:  1+2+3+...+n=n(n+1)2

Q: Given the general solution for a system X' = AX, X=C 2 + C2 e and 2 find the value of Ci & C2. 4 the…

A: Given;  X'=AX X(0)=(2            4).

Q: Determine the direction vector of the following lines where lz is in 3D a) l1:2x – 3y + 6 = 0 %3D -…

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Q: Integrate the following using partial fraction decomposition: integral sign  [(3x2+4x+56)  /…

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Q: Let g(x) = | f(t) dt, where f is the function whose graph is shown. y f 4 4 20 (a) Evaluate g(0),…

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Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

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Q: 7x + 4 if x 1 |

A: Here, the given function is: f(x)=7x+4, if x<-2x2+1, if -2≤x<12-3x if x=11-x+x if x>1 where…

Q: dr

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Q: If A =27+7-, B =-T+27-4k, and A +B +C =27+7+ 2k, what is C? 7.

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Q: A 54 cm piece of string whose length is given below is cut into two pieces. One piece is used to…

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

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Q: 2 Evaluate thefallowing cartesian integrats by - changing theminteequivalent Palar integralse 4- to…

A: Solving

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: Evaluate y' of the given functions: 1 Find y"'for y (x+4)3

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Q: State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that…

A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: (a) Consider the system of equations 11x3 – 3x1 7x — бх2 — 5хз x2 +2x3 – 2x1 = yi = y2 - Уз Rewrite…

A: To write the system of equations in matrix form

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: dy 1 dx 3y3 By the method of separating the variables y = x3 y = Vx+ c Option 1 Option 2 y = vx + c…

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Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: 2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8…

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Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

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