f(x) = {x² + 4, x > 1 (4х + 1, х < 1 at a = 1; (1,2) ||

Q: Workout Problem Question 1 2 a. [ Compute the integral I = S Se S" czdzdydx b. [ write the equation…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. I sin z (a) f(x) =…

A: As we know that; The Product rule: f·g'=f'·g+f·g' The Chain rule: fgx'=f'gx·g'x   And…

Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

A: We shall use the formula for amount after t years= P(1+r/100) ^t Where r is rate of interest, t is…

Q: The growth rate of a fungus varies over the course of one day. You find that the size of the fungus…

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Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: 03 Evaluate J (3-2x)5 using substitution

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Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: 8. The sum below can be viewed as a right endpoint approximation for the area under the curve of…

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Q: Dose the h partial sum of a series a, is as follows. n = 1 -ח n+ 5 Find and n = 1 Step 1 We are…

A: Solve the following

Q: 51. y= 2x - 3x3

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Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

A: Given query is to find the value of the integral.

Q: 4x* -1 +5x°+2x² 3 X+1

A: topic - long division of polynomials

Q: 5. The continuous and differentiable function f is given by f(x) = {mx + 2 for x s-1 lx² + k_forx…

A: Here we have to find the value of m+k

Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

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Q: d 6. dx sin(t) dt

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Q: Consider the function f(x) = 3x? + 10x – 3. f(x) has a critical point at z = A. Find the value of A:…

A: The function f(x)=-3x2+10x-3

Q: Use long division of pol

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Q: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

A: Given query is to find the value of the limit.

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

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Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for 0. 18x (a) lim 5 4x 18r (b) lim…

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Q: Calculate the following limits. Justify your answer. (without using L'Hospital's rule Rule)

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Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

A: Given; 95x^3/4.y^1/4=5130

Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Write the complex number in standard form. (Simplify your answer completely.) 3 - -64

A: This question can be solved using the concept of complex numbers.

Q: D is some triangular domain in the xy-plane with area equal to 9. S i the triangular area that is…

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Q: SX³V1+ 4x2 dx .3

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Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: This question can be solved using the concept of compound interest.

Q: dx x+

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Q: Jаx + 2 for x 3 Find b – a. (A) 5 (B) 6 (C) 11 (D) 17 O A ов O C D

A: Here we have to find the value of b-a.

Q: 8. h(x) = (sin x )V tan²x + 1 %3D

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

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Q: the answer to Step 2 is very confusing.  Can you please elaborate how putting y=4 in the equation of…

A: Apologies for the inconvenience.   Given that where the two lines L1 and L2 intersect there y…

Q: () 0.02x 26, ere a represents the level of production and C' (a) represents the margina items, the…

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Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at ct

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Q: (a) y = x = 2, y = 0; about the line x = -2. (b) y = 7 – x², y = 3; about the x – axis.

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Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

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Q: I sin x O S(z) %3D COS

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2x + 1 (a) lim 9x2+ x

A: We have to solve the limit

Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

A: Solve the following

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: continously compounded formula:A =P er tA=final amountP=Principal amountr=ratet=time (in…

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: dy find .2. 4 If y= 2x+ at x= 1. dx dy at x = 1 is The value of (Simplify your answer.)

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Q: Find the limit. Enter DNE if the limit does not exist. 15zy lim (2,9) → (0,0) 22+ y?

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