if a = 7 and b=4, whats the value of f'(7)? 8|77|80 IN TA O a) Ob) Oc) =/ a) 1/2

Q: храхашд-Х,50025

A:

Q: [(3+y) -x³ (3+y)³] dx + x dy = 0

A:

Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6

A: See this solution in below

Q: 14) A 300-foot cable weighting 4 pounds per is hanging from which 300 feet Level. Find ground the…

A:

Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: Find and sketch the domain of the function. f(x, y) = √√√√4x²-√√25-y² O -6 DO -4 -6F 4 6 -6 -4 4 4…

A: The set of points (x, y) where the function f(x, y) is called the domain of f(x,y).

Q: 5 Find the coefficient of the given term when the expression is expanded by the binomial theorem. x6…

A:

Q: Question 4 In sketching y In (x-2)² e22 no horizontal asymptote None of the choices O y = 0 and y =…

A:

Q: dw 3. If w = f(x, y, z), g(x, y) = C₁, h(x, z) = C₂ find: dx constants. c1& c2 are

A:

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: 1. The simplified form of the logarithmic expression log6 + 2log3 is a. log36 b. log54 c. log81 d.…

A:

Q: What are all the values of k for which f* x² dx = 0? 3 -3 and 3 0

A:

Q: 5. 3√√xdx 6. S dx dx 7. S- X 8. f s 2dx 3 2x -10

A: Given

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

A:

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = Triple integration. 1 using

A: Given

Q: B)Evaluate the integrals: i) f/2 inzerdrde " 0 ii) f/25/2 sinx 2² siny dz dy dx. π/2

A: B.1. According to question,Given Integral,Let I = ∫0π2∫0sin 2θr dr dθ

Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: Q2A)Matrix A = 42find Eigen values of 4². dy -(x²+y) B)Solve differential equation x+siny

A:

Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with…

A:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Dear learner, As per our guidelines, we can provide the solution for first three parts only. Kindly…

Q: the complex number 6√3+6i in polar form O 12(cos(n/6)+isin(n/6) O 12(cos(n/4)+isin(n/4) O…

A: As we know that; The complex number z=a+ib can be written as polar form; z=rcosθ+isinθ Where;…

Q: x - ln x + 1| + C

A:

Q: B)Convert r = √2 cos(8-) to cartesian.

A:

Q: B)Is w = Zez analytical function or not?

A: In this question, we want to know whether the given function is analytic or not.

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

A:

Q: 6 = √² (6x - x²) dx = We now have Area = 16

A:

Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…

A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13

Q: S = u(x+*)

A:

Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using

A: To find the volume of body bounded by given curves.

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

A: We have to solve above given graph for volume.

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

A:

Q: 1 Evaluate the integral: S√72+6 dx O 2√7x+6+C O 7 2√7x+6 +C ○ // √√7x + 6 + C 1 0- + C 3 7(7x+6) 2

A: use substitution method for solving the integral.

Q: O- - 1 2x (In x)2

A:

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³ - 18x²…

A:

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

A:

Q: Fill in the blanks: Use integration to find the volume of the solid obtained by revolving the region…

A:

Q: dy B)Solve the differential equation dx x6+4y

A: To solve Differential equation.

Q: |3a) f(x) = −2 (+)* Make a table of values: Graph the f(x) 10 8 0644 -24 -4 -61 -8 10⁰ Growth or…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: If f(x) = 2x²e*, find f'(1). 2e 6e 0 4e

A:

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

A: