Question: 4. (D4 -2D3 + D2)y = Answer: 4. y = C₁ + C₂x + (C3 + C4x) ex

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Q: 4. Find the value of that makes the function continuous. f(x) = {a√x + 1 {a√x + 1 x ≥1} - a x<1)

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A: Given : for n = 1 a1= a2= a3= a4= a5=

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A: For compounded annuallyA=P1+rt For compounded continuouslyA=Pert⇒P=initial amount⇒r=Rate of…

Q: 3. IF (2,0,0) = 2² cos & sine, DETERMINE THE FOLLOWING. A) af oz 22 cose sine B) of = fo²-2² sing…

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Q: f() where f(x) ==== x

A: Please see the below picture for detailed solution.

Q: 2 (0² 20 0 Ans v=c₁ +c+.

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Q: rob 6 Evaluste lem x-o x+cos ().

A: we will find the limit.

Q: Why? As X approaches -1 from the right, the limit WOULD be 1.

A: As we know that a function has limit at x=a if both left and right hand limit equal.

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Q: The point P(3, -4) lies on the curve y = (a) If Q is the point x, (i) 2.9 MpQ = 2-x 2-X find the…

A: Topic = Coordinate geometry

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim x→0    [[1/(5+x)]-(1/5)]/x [1/(5 + x)]…

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Q: 6. Use your graphing calculator to graph f(x) = x + 3sin (x-3) x-3 a. At what point, c, is there a…

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Q: Find the scalar and vector projections of b onto a. a = (4,7,-4) b =(4,-1, 1)

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Q: 16 I 25 3/5

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Q: (a) lim A(x) x--3 (b) (c) (d) lim_A(x) X-2 lim A(x) x-2+ lim, A(x) X-1 88 -3 X = 0 2 5 (e) The…

A: Given :

Q: 36 3 t (min) Heartbeats 2548 26 imates this value by calcu alues of t. (Round your a = 36 and t = 42…

A: We know that,for two given points  (x1,y1) and (x2,y2)Slope=(y2-y1)(x2-x1)Here slope=heart rate in…

Q: 3. Evaluate the difference quotient, limx→0 f(x+4x)-f(x) (x+4x)=x , for f(x) = 3x² + 7x + 5.

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Q: Evaluate the limits limx→pi+ 2 cscx

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Prove the identity. (secx-1)² secx-1 tan²x secx + 1 Note that each Statement must be based on a Rule…

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Q: Write the sum using sigma notation: 7 + 10 + 13 + 16 + ... + 40 = Σ B, where n=1 A = B=

A: As per our guideline we can solve only first question you can repost other question in next question

Q: Use the Product Rule to differentiate the function. f(x) = x² cos(x) f'(x) =

A: To differentiate the given function.

Q: At what interval of x will the function continuous, f(x) = { 3x²-x-2 x-1 0, x= 1 ", x#1

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Q: Find an equation with a solution of x = 6 of multiplicity 1, and a solution of x = - 1 of…

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A: We have to find the equation of the plane.

Q: Consider the following F(x)= 4/K-61 *-6 Find the x-value (if any) at which is not continuous. Is the…

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Q: The table below shows where a continuous function and its derivatives are positive, negative and…

A: Given: The table below shows where a continuous function and its derivatives are positive, negative…

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A: To determine which of the following differential equation is ordinary, linear, first degree, and the…

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Q: The graph below is the function f(x) 15+ 3 2 1 -5 -4 -3 -2 -1 -2 -3 -5+ 4 Determine which one of the…

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Q: 1. fxº dx 2. f V√z dz 3. f(1-x) √x dx

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 7. If a function f is not defined at a but lim f(x) exists, is it possible for f to be continuous at…

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Q: Which of the following differential equation is non linear, first degree, and the independent…

A: We need to choose correct option.

Q: what would be the x-values at which f is differentiable?

A: Let's find.

Q: Determine each integrating factor to make the Differential Equation exact then solve each equation.…

A: Here we have to solve the differential equation.

Q: B. The 6th term of an arithmetic progression is zero and the 16th term is forty. i. The first term…

A: Let 6th Term of A.P. =a6 Let1 6th Term of A.P. =a16 Given a6=0 ,a16=40

Q: Time interval 7 ≤t≤ 8 7 st≤ 7.1 7 st≤ 7.05 7 st≤ 7.01 7 st≤ 7.001 Average velocity (m/s) 73.5 69.09…

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Q: Use rectangles to estimate the area under the graph f(x) = 2x - 1 from 1 to 3 of divide by 5

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Q: Obtain the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS. 2. y(x) = ₂x…

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Q: Find the sum: 3 5. Check that ³0 (5) (¹) = () i=0

A: Here is the solution:

Q: d²y dx² - 3x4y( y Type: Order: Degree: Linearity: dx³ Dependent variable/s: Independent variable/s:…

A: We can solve this as follows:

Q: The height y (in feet) of a ball thrown by a child is 1 y = 142² where x is the horizontal distance…

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Q: this problem,  x = c1 cos(t) + c2 sin(t)  is a two-parameter family of solutions of the second-order…

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Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

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