Let R be the region enclosed by the polar curve r (0) = 3 ln (0) where 7π

Q: If g is said to be the antiderivative of the function f then O a. Inconclusive O b. O c. O d. g'(x)…

A: Here we have to choose the correct option.

Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

A:

Q: For f(x) = {²-1 if > 2 5-x if x < 2 Of is not continuous at x = 2 Of is differentiable at x = = 2 Of…

A:

Q: Write z₁ and 22 in polar form. (Express 0 in radians. Let 0 ≤ 0 < 2π.) Z₁ = 2√√3 - 21, Z₂ = −1 + i…

A:

Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

A:

Q: S77/2 Su² sin (=) dt du Evaluate the integral: f/2.

A:

Q: consider the following. u=i+√√7j, v= -√7i+j (a) Find u. v. u'v= (b) Find the angle between u and v…

A: Solution is here

Q: Evaluate the following * Sete e7x-³dx O e^(7x-3)/3 + C O e^(7x-3) + C - e^(7x-3)/7 + C O e^(7x-3)/7…

A: We will use substitution method to solve the integral

Q: slope

A: Please refer to the image below

Q: Determine the equation for the line with normal vector n = [3,-4] passing through the point P(-1,-2)

A: Given.

Q: A particle is moving along the curve whose position vector is given as R(t) = (t)i + ( În (cost)) j…

A:

Q: S √x²-25 dx X

A:

Q: Evaluate: xy² dx dy

A:

Q: VI. Determine the instantaneous rate of change of the function √x sin (³) In 2 = = [X² f(x): dt 1 +…

A:

Q: Evaluate: ₁₂₁(4x²y — z³) dz dy dx J1

A:

Q: Find the average value of f(x) = -3√x + 5x over the interval [0, 3]. Submit an exact answer using…

A: This question can be solved using the concept of average value of function over an interval.

Q: The following will make the limit of a certain rational function of a as z approaches negative…

A: As we know tha rational function is of the form  P(x)/Q(x)

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

A:

Q: Q7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

A:

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x. OA.y = C₁e(-4x) +…

A:

Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

A:

Q: Evaluate the integral: -2e π/3 ₁²/³ tlnu tans ds du dt

A: Topic = Integration

Q: Evaluate: ƒ³₁ ƒ²₁ √√²[z³(x + y)³] dz dy dx

A:

Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: √2+x-√2-x X lim- --0

A:

Q: ³₂²₁²[z³(x + y)³] dz dy dx

A:

Q: Evaluate: ₂₁(4x²y — z³) dz dy dx-

A: ∫03∫-24∫104x2y-z3dzdydx

Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: Use a Double-or Half-Angle Formula to solve the equation in the interval [0, 2r). (Enter your…

A:

Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: R is the region bounded by the functions f(x) = - +3 an exact answer. Provide your answer below: A =…

A: The given two functions are:fx=-x23+4x3-103 and gx=x23-10x3+103We need to find the area bounded by…

Q: Evaluate √x/2 6sinx(cosx+1) do

A:

Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that  The Region bounded by the curves  y = 4 + sec(x) , y = 6 ,  -π3≤x≤π3  about y = 4…

Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: This is a problem related to properties of addition and multiplication. Based on the general formula…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the area of the surface obtained by rotating the curve y = cos(2x), 0≤ x ≤ π/6, about the…

A:

Q: Q9. If W = f(u)=u' + sinu+Inu, and a=ax+by, where a, and b are constants, show that aw aw b. ax

A: We have to prove the given statement.

Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: Concept: There are two clocks A and B, one clock is broken and another one is normal which means…

Q: Flag question Evaluate: ³²₁ [2³(x + y)³] dz dy dx

A: Let's evaluate given triple integral.

Q: Find the volume of the solid generated by revolving 1 the region bounded by y = e¯x², the x-axis and…

A:

Q: Consider the function f(x)=2x^2 +(−4)x What is the value of the constant of integration such that…

A: Topic:- application of integration

Q: d dx [x² tanx]

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Evaluate: ³₁² [(x² - y²) ² x+y 21 du dt

A: The integration of the double integral is  (x2-y2)2/(x+y)

Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

A:

Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: ¹₁¹+x² x + 2y dy dx -12x²

A:

Q: Evaluate the integral S (2x − 8)dx 2 - 6x + 18 x²

A: Evaluate the integral