2)

Q: Consider the parabola given by the equation: f(x) = – 4x? + 6x + 2 Find the following for this parab...

A:

Q: The problem is in the screenshot attached.

A: Hi, Thank you for the question. Since you have posted a question with multiple sub parts as per the ...

Q: Write a quadratic equation that goes through the points (2,3), (3,2), and (4,3). y = ax2 + bx + c

A:

Q: (a) An open top box will be prepared by removing squares from each corner of the piece of cardboard ...

A: Sides of the cardboard is 45 cm and 24 cm. Let the squares of side x cm be removed from each corner ...

Q: Find the following limits if they exist. a) lim xx* +1-x)

A: Given limit can be simplified as

Q: Which of the following is the period of the function y = cos (3z – 7) if it is periodic function? O ...

A:

Q: The diameter of a circle is 6 cm. Find its area in terms of T. Answer: A =

A:

Q: Find all values of x in the interval [0, 2x] that satisfy the equation. (Enter your answers as a com...

A: 4 sin2(x) = 2 Sin2(x) = 1/2 Sin(x) = 1/2  (or) sin(x) = -1/2  

Q: The derivative of the function f (x) = (sinx +2x) (- %3D -COSX is: (cosx + 6x*)(; - cosx) + (sinx + ...

A:

Q: #8

A:

Q: Use Integration by parts or tabular integration to evaluate (x² + 3x + 6)(sin(2x)) · dx

A:

Q: S- 10х2 3 V1+х

A: Let   I = ∫10x21+x3dx     by using substitution, Take t = x3 dt = 3x2dx dt3= x2dx

Q: f arctanada=? O a - In4 2 O b. - In2 4 Oc. 1+ n2 2 O d. - in2 4 2 O e. + En4 е. 2

A: =?  

Q: A bicycle tire inner tube producer can sell 22 inner tubes at a price of $2.12 per inner tube. If th...

A: Assume the number of the inner tubes be x units. Find the revenue functions R1(x) and R2(x). For 22 ...

Q: Simplify the expression. Write your answer without negative exponents. (2a4b4)(5a2b5)2

A:

Q: Find the value of integral of unit circle , when F(r)=[-x,-xy]

A: The function given is Fr=-x,-xy here r is the radius of circle ,r=x,y→dr=dx, dy. Apply Green's theor...

Q: how do I evaluate the integral

A: Solution: The objective is to evaluate the integral

Q: Which of the followings are true for f(x) – I-1 1. x-1 is a vertical asymptote. Il. y=0 is a horizon...

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Q: If g(x) : 8 + cosh(9x) find g'(x) 8+ cosh(0)

A: Answer and explanation is given below

Q: Evaluate the integral. x³ - 6 dx +ク 11 X

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Q: Find the area of the plane region that lies below the line y = 2x and between the parabolas y= 2x^2 ...

A: Given Curves are:                                                 y=2x2....................(1)y=x22....

Q: If y(t) is the solution of the differential equation: y"+y' = e', where y(0) = y'(0) = y"(0) = 0 The...

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Q: 2. Given that z and w are independent variable and dependent variablerespectively, obtain dz/dwa. wh...

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Q: Please can you answer quicklyWhat is the x-component of the minimum point of function?

A: Given  Z = x2+xy+y2-y                ..... ( 1) Differentiating equation 1 w r t x ∂Z∂x= 2x+y     .....

Q: Find the pole and residues

A:  

Q: Find a linear equation whose graph is the straight line with the given property. Through (0.5, -0.75...

A: The linear equation whose graph is the straight line passing through the points (x1,y1) and (x2,y2) ...

Q: dx a) I = [ In(1+x²)dx b) I = [ x(1+(ln x)')

A: We have to find out integral

Q: Find the Zenro and its ooder for the function flz)=1- Ti+z+Č

A: Given,    f(z) = 1-πi +z + ez   For zero calculation,  Make f(z) =0,    Therefore, z = πi       (zer...

Q: Let f(1) = 2 and for all x, f'(x)<-5. How large can f(3) possibly be? O a. -8 O b. -4 O c. -5 O d. -...

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Q: Find the equation of a plane through the point (1, – 1, 6) and orthogonal to the line x(t) = 7 + 4t ...

A: Required plane is orthogonal to the given line, say L: x(t)=7+4ty(t)=-3-4tz(t)=-1-6t also, the plane...

Q: Let f(1) = 2 and for all x, f'(x) < –5. How large can f(3) possibly be? %3D а.-8 O b. -5 O C.-4 O d....

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Q: Find the (perpendicular) distance from the line given by the parametric equations ¤(t) -2 – 2t y(t) ...

A: Solution: The objective is to find the perpendicular distance

Q: Part 4 please, When will the thermometer reading reads 14C

A:

Q: Basic Intergration Rules Evaluate the following integrals. Check by differentiation.  ∫ ( 3 − 2 x−2 ...

A: ∫3-2x-2 dx On integrating, we get ∫3-2x-2 dx=∫3 dx-2∫x-2 dx=3x-2·x-2+1-2+1+C    ∵∫xn dx=xn+1n+1+C  &...

Q: Give me the complete solution of question 54 picture attached below

A: We have to find the initial value problem

Q: +1le+10 da =? +42²+5x O a.-2ina-꽃inla-1| + 꽃inl# + 5| + C O b. 2ina + arctan(a + 2) – in((a +2)) + C...

A: Given: I=∫x2+11x+10x3+4x2+5xdx For evaluating given integral, first we do partial fraction of given ...

Q: solve sin2x dy -y=tanx dx

A:  

Q: Which of the following is the period of the function y = cos (3x O a. 37 O b. 27/3 O C. T/3 O d. It ...

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Q: Use the given zero to find all of the zeros of the function.

A: Consider the given function, fx=x4+x3-26x2+4x-120 Given that x=2i is a root of the equation. ⇒x-2i i...

Q: Find the following limits if they exist. lim xvx* +1-

A: Consider the given limit, limx→∞xx2+1-x2 Rationalize the function as follows, limx→∞xx2+1-x2xx2+1+x2...

Q: Find the point at which the line T(t) = (4, 1, 7) +t( – 5, – 7, – 4) intersects the yz plane.

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Q: Homework 7 Question 11b Please see attached and ONLY answer question #b given the function. I can o...

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Q: So sin(t²) =? lim, »0* O a. Limit does not exist O b. 1/3 O c. 00 O d. 0 O e. 2/3

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Q: Please solve

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Q: Usando el método de transformada de laplace Y"-4y'+4y=t^2 e^t      y(0)=0. Y'(0)=0

A:

Q: Basic Intergration Rules Evaluate the following integrals. Check by differentiation. ∫ ( x 4 − 4 x )...

A: The given integral is f(x)=∫x4-4xdx. Evaluate the integral. ∫x4-4xdx=∫x4dx-∫4xdx=x55-4x22+C Therefor...

Q: can you help me with A B C ?

A: Solution: The objective is to find the values of the given limits

Q: Use Integration by parts or tabular integration to evaluate (x² + 3x + 6)(sin(2x)) · dx

A: We have to find the integral by parts

Q: Basic Intergration Rules Evaluate the following integrals. Check by differentiation. ∫ ( x4 − 4 x ) ...

A: ∫x4-4x dx On integrating, we get ∫x4-4x dx=∫x4 dx-∫4x dx=x4+14+1-4·x1+11+1+C   ∵∫xn dx=xn+1n+1+C=x55...

Q: 10x3 dx 1+ x³

A: =?  

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.