L A Moving to another question will save this response. Question 2 Let f (z) =iz-7x. Which of the following is correct ? oiu, = -7 v oiu = - 7 v iu = - 7 v iu =7 v Moving to another question will save this response

Q: A rocket sled having an initial speed of 123 mi/h is slowed by a channel of water. Assume that…

A: Consider the given information.

Q: The range of the function y=In(x+1), where x>-1 is Select one: а. R b. R C. (-0,1) d. (-1,00)

A:

Q: A rocket sled having an initial speed of 153 mi/h is slowed by a channel of water. Assume that…

A:

Q: 9. Let f(x) = Vx and H(x) = f(x)g(x), then H'(4) = 3 В. 2 A. 25 - V7 C. - С. D. 6

A:

Q: You remove your pecan pie from the oven and place it on the counter for an hour before serving it.…

A: The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in…

Q: 2,0 Va Find the formula for f. f(x) = 0

A:

Q: 2. For the function if æ² + y? > 0 0, if a? + y? = 0 f(x, y) = %3D find the value f(0, 0) + f,(0,…

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Q: 4. A ball's position, in meters, as it travels every second is represented by the position function…

A:

Q: S(t) S(t) = t2 + 3tª. f(t) = t2 + 3t + t3/2. f(t) = t e-3t + e!.

A: The solution is given as

Q: The function f(x,t) = e" t satisfies the equation frz- fu =0. OTrue || False

A: Given: fx, t=ex-t

Q: (a) f(x) = e'i*, g(x) = e'2*, r1 # r2 (b) ƒ(x) = e"*, g(x) = xe"* %3D

A:

Q: ax if x >1 If f(x) = then the bx + 2 if a <1 values of a and b such that f is differentiable on…

A: option (C)  is correct. see below the calculation

Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²². Find fx and fy. Evaluate fxxy(4,-1).

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Q: Let F(x) = Vt dt. Find F " (2)

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Q: Use a value table of & (x, y) with (x,y) rood of the f (x+y) f (x+y) when (x,y) → (0,0). 23 32 f (x,…

A: We have to determine the value of the limit using table method.  We can estimate the value of a…

Q: If f(3) = 1, f'(3) = 1, g(3) = 1 and g' (3) = -2, then P dz g(x) I f(z) %3D Answer:

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Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

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Q: A rocket is fired vertically upward from the ground. The position function is given by: S S(t) =…

A:

Q: 2 3 5 Match the function to its contour diagram. 1 1. 1+x?y? 2. z = x² – y² 3. 1 ex2+ev2 4. z = x +…

A: Let the given function is f(x,y). Then the level curves for the contour diagram are given by f(x,y)…

Q: af af I and : for the function f (x, y): ду x+y Q1: Find ax y? +x3

A: The given function is fx,y=x+yx2+y2. Evaluate ∂f∂x as follows.…

Q: f(x) da, where Evaluate S 5æ°, 0<x <1 f(x) =3 62, 1 <r< 2. 2 | f(x) dr =

A:

Q: Let f(x,y) = In ( x2 + y). If fy(2,a)=fy- 1, 2), what is the value of a? а. 3 O b.7 О с. 8 d. 6 O e.…

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Q: b) Suppose f:R → Z where f(x) =[2x – 1 i. If A = {x |1 <x < 4}, find f (A). ii. If B = {3,4,5,6,7},…

A:

Q: 5. x and y are both functions of t. Given x=-2, y=1 and x'=-4. determine y' for the following…

A: Topic:- application of derivatives

Q: The velocity, v of a body as a function of time, t is given as v(t) = 2e- -7, where t is in seconds,…

A: The velocity of a body at time t is given by: v(t)=2e-2t-7

Q: f(x)=ax+b/cx+d, x≠-d/c, -a/c, find f^-1(x)

A:

Q: 2. The surface area S(r) in square units of a cylinder with a volume of 18 cubic units is a function…

A:

Q: The function s = 4t 3 + 8t 2 + 9t + 4 gives the distance (in feet) traveled in time t ( in seconds )…

A: The velocity of the object is defined by the formula, vt=ddtst so differentiate the displacement…

Q: (b) Use the Chain Rule for functions of several variables to find e and dw if 4.x2y3 – 1 + 2y and v…

A:

Q: St² 0<t< 1 f(t) = 10 t21 y" – 5y = f(t) y(0) = 0 y' (0) = 5

A:

Q: J 3(x)is even function 0 صواب ihi O

A: We will use the fact that j_-n(x) =(-1)^n j_n(x) to decide whether j_3(x) is even or odd function.

Q: f' (t) =t+1/t³, t>0, ƒ(1)= 6

A: Explanation and solutions is given below.....

Q: 23 If f(x) = t° dt then -2 f'(x) = %3D

A: use fundamental theorem of calculus.

Q: The function f(x) has a linearization of L (æ) = ÷ (x – 2) + 3. The function value f(2.1) is…

A:

Q: 2. State the domain and range of f(x) ==Vx +2 5 D:[-2,0) D:[-2.) В. D:(-0,00) C. D:[0,0) D. R:(-0,0)…

A:

Q: Find least square linear approximation of function with f(- 2) =0 f(- 1) =5 f (0) =0 f (1) = - 5 f…

A: Consider the points, -2,0,-1,5,0,0,1,-5,2,0 Now, make the table as shown below, x fx x·fx x2 -2…

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

A:

Q: sec?xdx Evaluate the given function ſ V1-4tanx a.글(1-4tanz) +c ·극(1-4tanx)i + C c.(V1 – 4tanx)' + C…

A:

Q: x2 ,0<x<2 let f (x) , find a %3D -x+6 , 2<x<6 24 9 8. .b O 9. 16 9. 32 .d O 9.

A: given function is                                   f(x)=x2       ; 0≤x≤2-x+6 ; 2≤x≤6 we have to…

Q: (c) Newton's method fails for the function f(x) = -2x + 3x² + ! 11 8. %3D if you choose xo = =. %3D…

A: Given fx=-2x4+3x2+118 with the initial guess x0=12.   The root approximated by Newton's method is…

Q: Ex 3. Find the local extrema points for the functions in the previous example. |a) ƒ(x)= 2x³ +3x? b)…

A: Local extrema

Q: f(x) = x4 − 50x2 + 6 x=5/rad(3), -5/rad(3)  Find The Y cordinates for both x cordinates

A: Consider the given function:

Q: If f(x.y,z) In(xz) – 2xy2z, find fzxy at the point (0.5, 1,-1) a) b) - 1 c) 8 d) - 2 e) - 4 g) None…

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Q: 3. Select the equations that indicate that y is a function of x. А. y = x -4 В. x² +y = 4 y = tx D.…

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Q: 1. Consider the function f(x, y) y exly for x > 0 and y > 0. Find the value(s) of the constants a…

A: Given: fx,y=yaebx2y for x&gt;0 and y&gt;0 and ∂2f∂x2+2x∂f∂x=∂f∂y Now, ∂f∂x means partial derivative…

Q: f(a + h) – f(a) =

A:

Q: f(a + h) – f(a)

A:

Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²/3. Find fx and fy. Evaluate fxxy(4, -1).

A: Given: For (a),     ∂ ∂ x2x-y2e-2xy+2y=∂ ∂ x2x-∂ ∂ xy2e-2xy+∂ ∂ x2y=1x--2y3e-2yx+0=2e-2xyy3+1x    ∂…