th th 1. The 6 term of an A.P. is -5 and the 10 term is -21. Find (i) the 8th term (ii) the sum of the first 37 terms.

Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN ...

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Q: The integral / 2/ ) cos(2*) dr takes the form & cosu du when u=2* and f (x) =x-5, What is the value ...

A: Firstly We have to solve the integration, then compare to given form and find k. Then We get K+2.

Q: Given the the parametric curve S2(t) = ¿e4 – l y(t) 12et + 32t 1 t5 – 6t + 10 dy (a) Find an express...

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

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Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...

A: Given

Q: Question d²y Find if -9x – 3y = 8. %3D dx2

A: Detail solution is given below

Q: What related conditional is equivalent to converse?

A: We need to find the related conditional which is equivalent to converse

Q: Question The position of a car traveling along a highway is given by the function s(1) = 21° – 10t2 ...

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Q: 0 3 Evaluate the iterated integral | (19x + 12y + 1)dx dy. -2 -3 0 3 | (19x + 12y + 1)dx dy =| (Simp...

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Q: x(x+2)(x-1) Problem 6. Consider f(x)= Do all three parts: a. b. c. x+5x+6 a. Is there a horizontal a...

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Q: x² + y? = r2 O y = - y' = - y

A: topic - differential equation

Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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Q: Determine whether the series is convergent or divergent. 00 8. Σ (-3)" n = 1 convergent O divergent ...

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Q: ху" + (1+х)у —е*, у(1) — 0

A: As mentioned to solve question number 6. Kindly repost the other questions in the next part.Question...

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has ...

A: The given equation is -2(x-4)2+1  This is in the general form and i.e. a(x-h)2+k  By comparing, a=2 ...

Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

Q: Determine the quotient and remainder if P(x)=x'+6x'+2x'+x-3 is divided by D(x)—x'—2х—1

A: Topic = Algebra

Q: Given the the parametric curve Į æ(t) = ecost y(t) = t³ – 243t

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Q: Solve using the U-Technique Question 11 If g(x) = f'(x) and if g(x) = (cos x – x sin x)e*cos x, then...

A: Given

Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if th...

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Q: 2. Find five arithmetic means between 12 and 21-6.

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Q: For what value of z does the tangent line to the curve y = 9+ 6e" – 6z is parallel to the line 9z – ...

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Q: k If u = f(x), then ſ dx x++2x2+1 +C for some constant k . Compute kf(1). x2+1 ... 1 (A 4 1 © -1

A: I =∫xx4+2x2+1 dxI=∫x(x2+1)2 dxu=x2+1du = 2x dxx dx =du2

Q: Solve the initial value problem. ds 281(7? – 5)°, dt s(1) = 12 4 (71² – 5) + 4 The solution is s = 2

A: This is a problem of integration. By using below formula we will calculate integral and then will su...

Q: I. Solve each of the following by forming exact differentials. 4. (2x° + 2xy – xy)dx- (x+ 2x²y+ y° )...

A: We have to solve  (2x3+2xy2-xy)dx - (x+2x2y+y3) dy = 0       ... 1 By forming exact differentials.  ...

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du . x(1+vx) ...

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Q: 40. f(x) = -x' + 3x + 7, %3D

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Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two t...

Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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Q: Solve the differential equation. 5y' = 4 ex/5 + y + y The solution is y = 4x +C X 5 5 e (Type an exp...

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Q: prove that tanx V secxsinxtanx

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: 5. Evaluate n(3 + 2n + n?) n = 1

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt V sin t

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Q: solve for x the equation 4y = 3x2 + 2x – 5 |

A: 4y=3x2+2x-5y=3x2+2x-54Let f(x)=3x2+2x-54Put f(x)=0 to solve for x

Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: dy dr + y = x

A: We are asked to find the degree of the differential equation.

Q: Solve using the U-Technique Question 8 Given: S . There is a function f (x) such that when u = -x³, ...

A: Given: ∫2f(x)dxe-x3   , u=-x3

Q: 8 6. Evaluate E n(3 + 2n + n2) n = 1

A: ∑18 n(3 + 2n + n2 ) if n =1 1(3 +2 +1) = 6 if n=2 2(3 + 4 +4) =22 n =3 3(3 + 6 +9) = 54 n =4 4(3 + 8...

Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: Plot the following functions y =-1 2x

A: Given function, y= 1/2x -1

Q: Question: By applying integration by parts, we have x10 In x Sx° In x dx = x10 +C 100 10 Select one:...

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Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: 4x – 1 for the 2 tan(4x-1)-3 cos² (4x-1) dr. what will be the resulting integrand? If we let u = cos...

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Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

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Q: 3. What transformations have taken place, of the parent function, to get to f (x)? Describe in words...

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Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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