Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

Q: (x² +6x , x< a is continuous Find all values of a such that the function, g(x)=. 2х-4 , everywhere.

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Q: SS, (x + y)e**-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2, x + y = 0, and x + y =...

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Q: 4x° – x lim x' +5 (d) x² – 49 lim Vx+2 - 3 (e)

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Q: 5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile...

A: Solution ) dv/dt = 25 ft3/ sec  h = d/4  d = 4h  [ d = r/2 ] r/2 = 4h  r = 2 × 4h  r = 8h  h = 5 fee...

Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1 D...

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Q: Determine is the series is absolutely convergent, conditionally convergent, or divergent. Show your ...

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Q: Find the area of the shaded region. y-2 y- 2áin(rox)

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Q: S sin* e de 4

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Q: The value of a computer t years after purchase is V(t) = 2, 000e-0.35t dollars. At what rate is the ...

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Q: x6 (x) 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: =1 at the point Find the slope of the tangent line to the ellipse 36 (x. y). slope = Are there any p...

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Q: Provide an appropriate response. Find the area bounded by the parabolas y = 6x - x* and y = x² - 2x....

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Q: cos s 40 d0

A: Let's find. 

Q: 5. The concentration of a drug in the bloodstream t hours after the injection is given by is the con...

A: C(t)=4.35 e-tRate of change of concentration;dCdt=ddt(4.35 e-t)dCdt=-4.35 e-tRate of change after 1 ...

Q: (c) Determine the definiteness of the quadratic form q(x) = x} + 2V6x,Xz + 2x3

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Q: Sx sinh 2x dx

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Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

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Q: Determination of integrating factors: 2y(x² – y + xdx+ (x² – 2y}dy = 0

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Q: Pat made the substitution x – 4 = 5 sint in an integral and integrated to obtain f (x) dx = 12t – 2 ...

A: integrate

Q: sec? 5x dx

A: Given query is to find the integral .

Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Sketch the curve fixy)c together with Vf and the tangent line at the given point. Then write an equa...

A: The given function,   xy=-9,  3,-3

Q: B. Provide a short proof. 5. Show that f cot 0 d0 is equal to In|sin 0| + C .

A: We know, d/dθ (sinθ)= cosθ ∫dx/x = ln|x|     

Q: The line that passes through the points (4, –2,0) and (1, 1, 1) is parallel to which vector? Check a...

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Q: 3. Consider the function f(r, y) = 'y - 4y at the point P(2,-1). (a) Find the directional derivative...

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Q: 4 6 8 10 12 14 16 18 20 22 24 3. TV-VIEWING PATTERNS The following graph shows the per- centage of U...

A: As we know rate of changecan be calculate by formula           = Rise/Run

Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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Q: 3. S (xº – + 2ex) dx

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Q: o = 3 cos? (4 - 0), r(0) = 2 de

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Q: I. Solve for the derivative of the functions using chain rule. Box your fina answer. 3 1. f(x) = (;r...

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Q: 5x5 + 3x2 + 3 3. 2x + 2

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 31 + 2j + k v = 21 – 3j (a) radi...

A: We have to find angle between given vectors.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 22j as ...

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Q: What is the x-coordinate of the critical point of the function y = (x + 2)^1/3.

A: Given function is y=(x+2)1/3

Q: Scanned with CamScanner Find the equation of the tangent line to f(x) = e" at x = 1.

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Q: The plane that contains the point (3, –1, –4) and the line with equation = y – 1 = 3z is orthogonal ...

A: Let:x-02=y-11=z-013=kL: x=2k, y=k+1,  z=k3P1:(3, -1, -4)Put k=0, k=1P2: (0, 1, 0)P3: (2, 2, 13)Vecto...

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

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Q: ƏM 3. In the differential equation (y -x -4x–1dy+2y(x+ y+ 2)dx =0, 4. In the differential equation (...

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Q: Use the definition of convergence to prove the given limit. sinn lim n00 sinn How can you prove that...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: Answer is given below. C option is correct  

Q: HER Verify that the two lines are parallel, and find the distance between the lines. (Round your ans...

A: Given

Q: Find the area of the triangle with vertices P(1, 5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exa...

A: As we know that; The expression for area of the triangle △PQR in vector form is: A=12PQ→×PR→   The g...

Q: sec? x 6. V dx 49-1 – tan? x

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Q: Find the derivative of the function at Po in the direction of A. f(x.y) = 5xy- 5y", Po(-7,-2), A= - ...

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Q: Consider the following. u = -7i - 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k...

A: Let's find. 

Q: 10. у%3D V2x+1

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Q: 10. Given the curve: y = 4cos°x – 3cosx, find the following values of x (from 0 to 2pi radians) when...

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Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (5y) at the points (0,0) and

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