20 + S 2c + 5 こ

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A: According to company rule we can answer only first question and rest can be reposted.

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A: Every polynomial function is always continuous on Real number. Sum of two continuous function is alw...

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Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4 ...

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Q: 4. Homogeneous Diffe rential Equation: (r+2y-4y kx-(x' -8ry-4y kdy= 0 Use the substitution x = y = w...

A:   Differential equation  are mathematical tool to define rate of change for whole equation. 

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Q: The figure on the right shows the graph off and a line tangent to the graph of f at x 8. Find f(8) a...

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Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4 %...

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1, f'(2)=2g(1)=...

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A: Critical points are points where the function is defined and its derivative is zero or undefinedGive...

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Q: 3 - 5x - 2.r, if a >1 4 lim f(x) if f(r) = -3 4.r, if r <1 r³ – 1 †;

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Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;...

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A: We know that the trigonometric identity; tan2x+1=sec2x   Given: secθ=133

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A: To evaluate: 2) I=∫dx7+x2...(1)  

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Let's find. 

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Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

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Q: 3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a an...

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Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: Let g (x, y) = 7 sin(xy) – 9x² In(y) + 4. Find the degree 2 polynomial, p, which best approximates g...

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Q: nd the derivative of the function: y = 3x (6z – 5. elect one: y' = 36x – 45x² y' – 18z – 30z² y' - 1...

A: y=3x(6x-5x2)

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Q: Find the slope of the curve r=7-cos(theta) at theta=9pi/4.

A: I am attaching image so that you understand each and every step.

Q: B. In items 16 to 20, (a). construct the table of values; (b). graph the function; and (c). find the...

A: Follow the procedure given below.

Q: ded. Give your answers as intervals in the form (*, *). Use symbol iate type of parenthesis " (", ")...

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Q: The gross domestic product (GDP) of a country is $78 billion and growing at the rate of 4.41-1/3 bil...

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Q: find all of the critical points and local maximums and minimums of each function. (c) f(x) = 1+ x4 '

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Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the i...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: Homogeneous Differential Equation: (x* + 2.xy – 4y° kdx – (x² –8xy – 4y² kdy = 0 y. x=2; d = wdx+ xd...

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Q: (D3 + 6D? + 12D + 8) y = 0 when y (0) = 1, y (0) = -2 and y" (0) = 2

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Q: The equation of the Family of Parabolas with vertex (h,-3) and it opens to the left is

A: We use the equation of the parabola when open the left and vertex are (h,k) is (y-k)2=4a(x-h)

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: Q.15

A:

Q: (c) h(r)- (r- 2r)(r+) (d) j(r)= COS T 1- sinr *cos2tan r (e) f(r) Page 2

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Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

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Q: Evaluate the following limits. lim 3 A. 1. 2. lim 3" 3. lim 4* 4. lim 5 x+00

A: Let's find. 

Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P &amp; Q is the function of x.   G...

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Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

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Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: 21.If f"(c) = 0, then f' (c) = 0 for any real number c. O A. True о в. False 22.1f y = cos a , then ...

A: Given:To identify true or false in the following questions from 21-25.  

Q: lim cos + 4

A:

Q: 2 x2 1. J1 (x3+1)²

A: Solving question number 1

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.

Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: . Separation of Variables: x(y+1)dx+ 2 dy = 0

A: Given: xy+1dx+yx2dy=0   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C; n≠-1 And ∫1ax+bdx=1aln...