(1x) +3 . Is-3 Check the continuity of f(x) ={-2x , -3

Q: What is the integrable form of et dr? ex – e -x [(1-u²) ² du O Swi-) - 1) 2 du (1- " (D 2 du

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j.

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Q: 10 -dx may be written as Aln|secB"+ tanB"| + c where A, B, and C are constants not equal to zero. Ev...

A: The given integral,         ∫10xcos 10xdx

Q: The antiderivative of f(x), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property...

A: we have to find the anti derivative .

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-(x)+1) -1 + - 3 1 + -1 + -

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: =[in(4-x cos (r4

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j. NOTE: Enter the exact answe...

A: Given :Make an angle of 45° with 7i + 4j

Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

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Q: Using an operator , solve the following differential equations d2y/dx2- 10dy/dx + 25y= 0

A: This question is based on solution of differential equation using D operator.

Q: cos2x – sin2x cos2x F(x) +C. What is F(M)? For dx%3D cosx – sinx 3

A: A detailed solution is given below

Q: Use the Trapezoidal Rule to approximate the area under the curve f(x) = 4x2 – x on the interval [2, ...

A: The given function is; f(x)=4x2-x.

Q: Jsino in(0) do? ioP (0)u What is the integrable form of cos

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Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the * prop...

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Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

Q: Complete the table to determine the effect of the number of compounding periods when computing inter...

A: topic - compound interest

Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

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Q: Find the area of the region bounded by the curve y=1-- x² аnd the x— аxis. (A 8 sq. units B) 4 sq . ...

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Q: 10* -dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants not equal to zero. E...

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Q: Evaluate the triple integral V++dz dy dz. sb Init bnoos di dire nldeng

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Q: b -"+xP +C. What is the value of the sum a+b+d+m+n+p? a d The general antiderivative of (3,2–4)2,2 c...

A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...

Q: If F(x) is an antiderivative of x2 +x', then what is the value of F(1) - F(-1)? A) -1 B) -2 D) 3

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Q: Make a problem solving question with full solution regarding area of circle. Include a graph, diagra...

A: Let's  find maximum  area a  cow ? can graze  for above problem.

Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

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Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: Question 17 cos2x – sin2x cos2x dx%3D 3 -F(x)+c• What is F(x)? For cosx - sinx O (cscx – secx)3 есх ...

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Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: Find the area of the region bounded by the curve y= 1- x² and the x-axis. A) 0 (B) 8 square units C)...

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Q: 6. f Vesx + etx dx

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Q: What is the integrable form of sin-cos-sin0 de? 2 2

A: A detailed solution is given below.

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: Question 5 d?y dr 2 =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation...

A: We have to find the curve

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: dx Evaluate Зх — 12 A 00 B + 00 1

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: QUESTION 6 cos2x – sin2x cos2x For -dr= -F(x)+C What is F(x)? cosx – sinx 3 cscx – secx) 3 1 (sinx –...

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Q: Choose among the following tests ONLY: integral, comparison, and limit comparison to determine if th...

A: We have to check weather the given series is convergent or divergent

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

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Q: sin-cos-sine do has the form –-F(0)+C. What should be the value of e to make F(e) =0? 2 The resultin...

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Q: Evaluate P(n, k – 1)P(n – 1,n – k). - k=1

A: We have to evaluate ∑k=1nPn,k-1Pn-1,n-k

Q: Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. O 21/2 square ...

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Q: A small town is known to grow its population at a rate proportional to the population at any time. A...

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Q: S(2- sec?x) eln ale)sec³x sec( 3A – x) What should be the value of A for dr to be integrable using t...

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Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: 6) yo Do° (7C +2)"

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Q: 人 こ 5

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-...

A: topic - double derivative of a function