Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

Q: The height of a projectile launched into the air is given by f(t)= - 16t² + 220t + 10, where t is…

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Q: II. Find the value(s) of x (or the interval of convergence) 2. Σn=0 for each of the following power…

A: The power series is  ∑n=0∞ (-1)n+1(x-5)nn·5n

Q: of convergence of too0 n 3"x" na n Find the interval the power series

A: Given problem:-

Q: tanx - x x-0 x - sinx 1. lim

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Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

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Q: The Physics Club at Foothill College sells Physics Show sweatshirts at the yearly Physics Show…

A: Solution

Q: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

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Q: Evaluate the following integrals using a trigonometric substitution. Hint: complete the square for…

A: Please see the answer below.

Q: Given cost and price (demand) functions C(q) = 110q+41,500 and p(q) = -1.9q+870, what is the…

A: Given  Cost function C(q) = 110q + 41,500  price function p(q) = -1.9q +870

Q: X Let f(x,y) = 8 e + In (x+y). Find the following. (a) f(1,0) (b) f(2, -1) (c) f(0,e) (d) f(0, e 4)…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Find the linearization f(x) = √x, L(x) = L(x) of the function at a. a=4

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Q: Evaluate the following integral. JJ. xyz dV if S is the region bounded by the cylinders x² + y² =…

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Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…

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Q: Find the length of the shortest ladder that can extend from a vertical wall, over a fence 2 m high…

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Q: Partial Sums An arithmetic sequence has a first term of -1 and a common difference of -17. If S₁,…

A: We have to find the sum

Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…

A: Topic = Derivative

Q: Compute ff 24xyd A where R is the region bounded by R x = 1, x = 2, y = x, y = x².

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Q: Find the equation of the family of curves having the given slope, and the equation of the curve of…

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Q: Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

A: The objective is to find R(t).

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

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Q: Find the area of the region bounded by: 21. x + 1 = 0, x-3 = 0, y + 4 = 0 andy-5=0. 22. 2x + 3y = 6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

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Q: 2. (4x³ - 3x² + 2x) dx

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Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: Here we have to find the volume.

Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

Q: with this can you solve D and E with this information. Thanks.

A: Given problem:- D) Use the First or Second derivative test to prove that there is a relative minimum…

Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: This question can be solved using the concept of maxima and minima.

Q: The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6…

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: 3. You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

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Q: s Compounding If the present value of an item is P and we experience an inflation rate of r for t…

A: using algebric operation

Q: Use double integration to find the volume of the solid on the first octant enclosed by the curves x²…

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Q: Find the line integral of F= 2√zi-4xj + 3√√yk, from (0,0,0) to (1,1,1) over each of the following…

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Q: 2) dy = y² (1+ex) dx

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Q: Payton is making stuffed animal keychains out of yarn. She set up an Etsy page to sell her keychain…

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Q: Given Cost and Price (demand) functions C(q) = 110q+40000 and p(q) = -2.6q + 800, what is the…

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Q: . A family wants to build a fence in their backyard for their dogs, but the cost for the previous…

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Q: Use the parametric equations of an ellipse, x = 5 cos (0), y = 4 sin(0), 0≤ 0 ≤ 2π, to find the area…

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Q: Inventory Microbucks Computer Company makes two computers, the Pomegranate II and the Pomegranate…

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Q: 2. You wish to construct a topless crate with a surface area of 230in² and the base with one side…

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Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Given Cost and Price (demand) functions C(q) = 120q+40000 and p(q) = -2.2q +800, what is the…

A: Given functions cost c(q)=120q+40000                             price p(q)=-2.2q+800…

Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: The height of the ball when its velocity is 0 ft/sec. is feet.

A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

Q: Life expectancy in the United States has been rising since the nineteenth century. The table shows…

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Q: It is known that for a function f(x), f'(1) = 0 and f" (1) = -0.5. What does the Second Derivative…

A: This question can be solved using the concept of second derivative test.

Q: Evaluate fx² cosh x dx

A: To evaluate the integral.