3 2

Q: find the first and second derivatives

A: Given: y=-3x9-1

Q: Find the area of the circle r = a by integration.

A: Solution: Consider the given circle r = a x2 + y2 = a2 or ⇒y2 = a2 - x2⇒y = a2 - x2  Assuming xy- pl...

Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give reas...

A: Given: fx=x2sin1x,x≠00,x=0

Q: Which of the following is the equation of the line which goes through the points (1,3) and (2,5)? y ...

A: Equation of line passing through (x1,y1) ,(x2, y2) is defined as y-y2=y2-y1x2-x1x-x2

Q: let v = (1, 3, −2) and w = (2, −1, 4).  Compute the angle between v and w

A: Given: v = (1, 3,−2) and w=(2,−1,4).

Q: Consider the following relationship: (x"A)- = BC where A is a 2x3 matrix, B is a 3x3 matrix and C is...

A:

Q: 5. The behaviour of a certain gas is described by the van der Waals equation 0.02T 2 P = V – 0.007 V...

A: The derivative of a function is defined as the change of variable with respect to another variable. ...

Q: Find the gradient of f at the indicated point f(x,y,z)=yz3-2x2; P(2,-3,1)

A: The formula to find the gradient is ∇f=∂fx,y,z∂x,∂fx,y,z∂y,∂fx,y,z∂z, that is partially differentiat...

Q: Let f(x) = x² and g(x) = 2x – 2. Which of the following functions is equal to the composition (f o g...

A: fog(x) = f(g(x))

Q: In the given equation as follows , determine whether the improper integral diverges or converges. Ev...

A:

Q: For Exercises 55-64, simplify the expression without using a calculator. (See Example 6) 55. log, 4"...

A: we have to simplpify the expressionlog4411

Q: The value of the expression log,25 – log, 16 – log,50 a) –3 b) 5 is c)-4 d)-5 Select one: O (d) O (a...

A: To find the value of the given expression.

Q: Find x,y,z

A: Use substitution method to solve for x,y,z

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 ,π/4 to compute sin 7π /12 and c...

A:

Q: Please solve the problem in the picture below.

A: Below is the answer

Q: Calculate the indefinite integral 13 – 7t² – t + 43 dx. - - t2 – 4t – 12

A: Given:

Q: Define a Separable diferential equations(DE)?

A:

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the...

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A:

Q: Differentiate the function using any appropriate method  (show step by step solutions)

A: Given f(x)=sin(tan(x)) To find the derivative of the function 

Q: 4. The given equation sinh(xyz) = x+ y + 3z implicitly defines a differen- dz Find ax tiable z as a ...

A: Differentiate of sinh(x) =cosh(x) 

Q: Evaluate (3 + v-4) + (2 – v=1) | as + i b) 5 – i c) 8 d) 5 + 3i

A: We know that     -1 =i      where i  is a complex number  Then  -4=-1×4=-1×4=i×2=2i⇒-4=2i    

Q: find the real zeros of f. Use the real zeros to factor f.   f1x2 = x3 + 2x2 - 5x - 6

A: Consider the given: fx=x3+2x2−5x−6Find the zeros:Substitute x=1​ or 0 or -1, and check whether fx=0 ...

Q: Suppose that A is a 4 x 4 matrix with det(A) = 5. Then + (24–1) - [2 Enter your answer exactly, as a...

A: We have to find determinant

Q: 66. Population growth. Suppose 30 sparrows are released into a region where they have no natural pre...

A: a) The growth model is dPdt=kP P=12,500dPdt=1325 Then the value of k, 1325=12,500k       k=132512,50...

Q: 1. Find and sketch the domain of the function z = f(x, y) = /x² + y? – 6x – 27. Then sketch the trac...

A: The domain of any function f(x,y) is the set of the points (x,y) for which the given function is def...

Q: Find the area of the region between the x-axis and the curve y = 8/(x² −4) for x ≥ 4.

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a fun...

Q: need help wth q9

A:

Q: True or False: Taylor Series and Maclaurin Series are the same.

A: Not exactly : False Taylor series is the representation of a function as a infinite sum of termes wh...

Q: You are a sales representative for a clothing manufacturer. You are paid an annual salary, plus a bo...

A: To explain: Which of composite function represents your bonus. Given: The functions are fx=x-500000 ...

Q: The surface generated by an astroid The graph of the equatior x/3 + y2/3 = 1 is an astroid (see acco...

A: Given,         x23+y23=1

Q: Derivatives with exponentials Compute the derivative of the following functions.

A: We know that, ddxxn=nxn-1ddxex=ex Also, for two differentiable functions, f and g, ddxf(g(x))=f'(g(x...

Q: Please solve the problem in the picture below.

A: using fundamental theorem of calculus part 1 ddx(∫abf(t)dt)=f(b)ddx(b)-f(a)ddx(a)

Q: Construct a table of values to investigate the following limits: (4 values from the left, 4 values f...

A:

Q: If 3+4i is a zero of a polynomial function of degree 5 with real coefficients,then so is...............

A: Given- If 3+4i is a zero of a polynomial function of degree 5 with real coefficients,then so is........

Q: In Problem,find zw and z/w Leave your answers in polar form.

A: A complex number is a number of the form a+ib with a,b being real numbers. In this form a is the rea...

Q: Compute the line integral of the scalar function f(x,y,z)=2x^2+8zf(x,y,z)=2x2+8zover the curve c(t)=...

A:

Q: de 7) Ans. 2

A: Formulae used: ddxxn=nxn-1∫xndx=xn+1n+1+C

Q: Please show step by step solutions

A: As the function is a polynomial function so it is differentiable on (-2,-1) and continuous on [-2,-1...

Q: X+2, x21 f(x) = -x+5, x<1 G. v The value of lim f(x) is A. 3 x1- B. Continuous A. v The value of lim...

A:

Q: What are the outputs of a vector field in ℝ3?

A: What are the outputs of a vector field in ℝ3.

Q: 3. State the equation of the parabola which has a focus of (3, 0) and a directrix of x=-3. Let a rep...

A: The focus of the parabola is at:  (3, 0) The directrix is at:  x = -3

Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward ...

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a&gt;0 and open downward i...

Q: Linear equations: Explain why the equation2x − 3y = 5 represents a line in the xy-plane, but represe...

A:

Q: 3. Finding a Polynomial Find a third-degree polynomialp(x) that is tangent to the line y = 14x − 13 ...

A: The standard form of third degree polynomial is given as p(x)=ax3+bx2+cx+d. To find the value of coe...

Q: 6- Evaluate the line integral fF dr, where F = [xy, yz, xz] and C is the boundary of the hemisphere ...

A: the line integral f F dr, where F = [ry, yz, xz] and C is the boundary of the hemisphere x² + y² + z...

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the...

A:

Q: Find all points (a, b, c) on the sphere x2 + y2 + z2 = R2 wherethe vector field F = yz2i + xz2j + 2x...

A:

Q: A company finds that the revenue R generated by spending x dollars on advertising is given by R = 10...

A: To find: The value of dRdx at x=1500. Given: The revenue generated function is R=1000+80x-0.02x2. Co...

Q: In Problem,graph each function.Be sure to label key points and show at least two cycles.Use the grap...

A: The function: y=tan12x

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.