2t dt 8. (1²+2)°

Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

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Q: Find the gradient field F of the function f. 7 8 f(x.y,z) =x°e x +y'z O A. F= (5+8x)x*e *i+7y®j+8z°k…

A:

Q: Use sigma notation to write the following Riemann sum. Then evaluate the Riemann sum using a…

A: Solve the following

Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

A:

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: students were surveyed on their current enrollment in Math, Biology, and Chemistry. The results are…

A: Solution: Total number of students=180

Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

A: topic- matrix operations

Q: 2. Solve the initial value problem dx dy 1 = 2x x + 0, y(1) = 5. 3. Solve the initial value problem…

A: We solve the given initial value problems below.

Q: if f(x)=(5+x4)1/4 what is (f(x))2

A:

Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: 4x + 6 2x2 + 5х + 3 X-1 2х + 4 6. %3D X+ 2

A: According to guidelines, we can answer only one of the multiple questions given. Submit the…

Q: a line is parallel to the vector 2i + 7j+ 8k and passes through the point P = (3,6, 6), then the…

A: Given query is to find the equation of the line.

Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: The function x2 f(x) 1 - x | has a local maximum when x = 2. Select one: True OFalse

A:

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith…

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Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

A:

Q: Compute the given integral. fGz (6z - 5) (32- 5z + 2)"da | +C > Next Question

A: topic- indefinite integral

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + at the point…

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: How many ways are there to distribute r+s identical balls among five different children such that…

A: We need to find ways to distribute balls as asked.

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

A:

Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

A:

Q: 20 The slope of the function ƒ(x) = 5x - 5 is ______. 1 -5 5 -1

A:

Q: Uncover the function's average value. Given: f(x) = 7x + 9y; R is a triangle with vertices (0, 0),…

A:

Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

A:

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

A:

Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

A:

Q: Using Green's Theorem, evaluate (sin z – y) da + (a³ + e") dy where C'is the circle x2 + y = 4.…

A:

Q: The series 2" (n!)2 n=1 is divergent. Select one: True False

A: The given series is a 2n/(n!) 2. Repost the next question.

Q: 3. Evaluate: lim ( ) X-0 sinx

A:

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

A:

Q: he region between the graph of y = 4x – 8 and the x-axis from - 2sxs6 Ay 30-

A: Topic:- geometry

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: The given function is: f(x)=x5+4x3+x, a=4f(4)=45+4(43)+4=1284f'(x)=5x4+12x2+1,…

Q: L, V4 – x²dx.

A:

Q: Make an application problem regarding equations (algebra) Follow these steps - Question - What is…

A: To make an application problem regarding equations (algebra).To follow the following…

Q: 3. f(x)== 4. f(x) = + 1

A: 3) f(x)=1/(2x)  4) f(x)=(2x-4) /(3x) +1

Q: Suppose a curve is defined by the equation 16(?2+?2)=45.16(x2+y2)=45. Show that if you translate the…

A:

Q: Which of the following functions f : R → R is injective? o f(x) = x²,x E R O f(x) = c, c E Ris a…

A: Solving

Q: Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

A:

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: For the points P,(4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

A:

Q: 2 and v2 = -2 3 be -2 Work Problem 2": - - - ;): Let v1 = two vectors in R². (a) '- ; Determine…

A: Given that,v1=2-2 and v2=3-2

Q: The integral of the given function ſ is equal to a. In2 b. In3 c. In4 d. In5 e. None of the above

A:

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

A: We have to tell whether it is true or false

Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

A:

Q: •1//2 4 c) dx. VI – x² 1/2

A: To evaluate the integral.