Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

Q: Problem r7 ¯7² xVx² - xVx² 0 + 1 dx

A: Topic:- application of integration

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: (x²-1) + 2y = (x + 1)² dy dx

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Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

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Q: Differential equation x² 2xln(y)dx + dy = 0 y

A: If the equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x , then the solution is      ∫y constant M dx…

Q: 13. The following functions are given: log3 X +3 4x-15 ● f(x) = g(x) = 2x+8 What is the value of f o…

A: To solve the following problem

Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: Problem 7 Ső S xvx² + 1 dx

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Q: Find the line integral along the given path C. f(x - y)dx, where C: x=t, y = 5t+7, for 0 st≤5 C √(x…

A: Topic:- application of integration

Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: The area bounded by y=1-x²₁ x+y=1 and the x-axis is submerged vertically in the water with the water…

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Q: Q2: A. Determine if p = 1-3k and q = 61-3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: [e²y ycos (xy)] dx + [2xe²y XCOS (xy) + 2y] dy = 0

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Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: Question 3 If = 2/180°, A +C = −5 + 15j and C is the conjugate of B. Find A O 10-10j -10+10j O 3-4j…

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Q: COS cos t 1 - sin t - dt

A: To evaluate: I=∫0π2cos t1-sin tdt

Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

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Q: Q14- If f(x, y) = 2xy - x² In y- 2y² + 3x + 4, then axy is : for the function

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: FIERNICE. B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Solve the homogeneous differential equation

Q: Convert 2.00 caws to screeches 8.00 caw = 5.00 chirps 0.82 chirps = 1.0 song 3.00 song 2.0 screech =…

A: 8.00 caw=5.00 chrips0.82 chrips=1.0 song3.00 song=2.0 screech

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: To find out the volume of revolution.

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider…

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Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: Grades - MAC231 X 2311 Section 3.3 X MindTap - Cenga x E CalcChat | Calculo X Mathway | Calcul x b…

A: Topic:-  trigonometry ratios  and derivatives

Q: Find the integrals of the given in the picture

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Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A: Topic:- calculus Note :- as per our guideline if more than three subparts posted than only first…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise fu…

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Q: 1³(x³ + x) dx

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: 3. y= (sec ³x + tan ²x)

A: Topic:- application of derivatives

Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: .2 (a) x² + y² (b) 3x2 + 3y

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Q: 7)Given the following exponential function f, where c > 1. f(x)= a (c))+k In addition, a < 0, b < 0,…

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Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

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Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: (e) Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: Question 17 :S- Given : 4x - 3 A = √ (21²+8) √u²+2 ® / / / 1 (2011 B (2u²+11)u √u²+2 © ²/2 √ ( 2 u ²…

A:

Q: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…

A: Finding consumers surplus

Q: To integrate x³ exdx'' X we apply integration by parts and in the form u dv, u is set as:

A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.